AUG 3 1 2001 P9-2000-274 shy

libRAriY

CIiBopO)f(UOB AAfJla30B fAKapaMbIIIIeBa EBCaMCOHOB pound _I 5CfIsOfDV

11I1HAMI1KA QACTI1U C yqETOM BJIIDIHIDI npOCTPAHCTBEHHOfO

3AP~llA B C11JIbHOTOQHOM UI1KJIOTPOHE (lleHTpoHHbIH BapHaHT)

-_D-r-ru-D ~ j=gi-oLL_D_0-- 2000

1 BBel(eHHe TIpoBelJeHHble paHee paCLfeTbl[l] nOKa3aJIH LfTO npH 3HeprHH HIDKeKUHH Wj = 03 M3B

H KpaTHocTH YCKopeHH5I h = 18 ueHTpaJIbHa5I o6nacTb lJHKnOTpoHa HMeeT cnHWKOM MaJIble

nonepeLfHbIe aKcenTaHCbI lJn5I YCKopeHH5I CHnbHOTOLfHoro nyLfKa l(mI ysenHLfeHH5I

aKcenTaHCOB 6bIJIa nOBbIweHa meprH5I HH)KeKlJHH H YMeHbweHa KpaTHoCTb YCKopeHH5I

TIapaMeTpbI Hcnonb3yeMble lJn51 paCLfeTOS npelJCTaBneHbI B Ta6nHlJe 1

T 6 1 na JlHUa apaMeTpblUHKJlOTpOHa

THn lJHKnOTpoHa CeKTOpHbIH

YCKOp5leMa5I LfaCTHlJa neHTpoH

3HeprH5I HH)KeKlJHH (M3B) 05 KOHeLfHa51 3HeprH5I (M3B) 150 HHTeHcHBHoCTb (MA) 10

MafHHTHaSi CHCTeMa

lHcno ceKTOpoB 4

YrnOBa5I npOT5I)KeHHOCTb ceKTopa (0) 30

Me)KnOnIOCHoH 3a30p (CM) 3 PalJHaJIbHa5I npOT5I)KeHHOCTb nonlOca (CM) 15 +165 CpelJHee MarHHTHoe none (Kf~ 5 MaKCHMaJIbHb[H tPnaTTep 145

YCKOPSIlOlUaSi CHCTeMa

lHcno L-3neKTp0lJOB 2 Pe30HaHCHa5I LfaCTOTa (MrlJ) 495 YrnOBa5I npOT5I)KeHHOCTb L-3neKTPonoB ( 0) 125 lIllIpHHa YCK menH (0) 25 AKcHanbHa5I anepTYpa (CM) 20 PaDHaJIbHa5I npOnl)KeHHOCTb (CM) 15 +165 Bl-Hanp5l)KeHHe (KB) 100+350

)lHHaMHKa aCTHU

lacToTa o6pameHH5I (MrlJ) 4125 KpaTHOCTb )cKojleHH5I 12 Ha60p 3HeprHH (M3B) 04+12 IDaI Op6HT Ha HIDKeKUHH (CM) 8

Ha BbIBone (CM) 5 qacToTbI cBo6onHbIX Kone6aHHH panHaJIbHbIX 11+12

aKCHaJIbHbIX 10+12 I

2 3c1)(lJeKTbl npocTpaHcTBeHHoro 3apHl(a - aHaJIHTHIeCKHe oueHKH CHnbI npOCTPaHCTBeHHoro 3ap5lna B lJHKnOTPOHe MO)J(HO pa3lJenHTb Ha CHnbI

nonepeLfHoro H nponOJlbHOro lJeHCTBHH TIonepeLfHbIe CHnbI npOCTPaHCTBeHHoro 3apAAa

npe06JlaDaIOT B ueHrpe UHKJIOTPOHa H B OCHOBHOM OCna6n51IOT BePTHKaJIbHYlO tP0KYCHPOBKY TIpononbHble CHnbI npHBOlJ5lT K pa36pocy 3HeprHH KOTOPbIH npSlMO nponOpUHOHaJIeH

cpenHeH HHTeHCHBHOCTH nyLJKa H o6paTHO nponOpUHOHaJIeH nonHOH tPa30BOH WHpHHe

1

I

21 Oue1lKa 8JlUJlIIUJI nOnepelf1l0l0 npocmpa1lCm6e1l1I0l0 3apRoa TaK KaK np06JIeMa nonepellHoro npoc-rpaHCTBeHHoro 3apRlla llOMHHHPYeT Ha HH3KHX

meprHRX nOCJIellyIDmHe paCqeTbI ClleJIaHbIllJIR 3HeprHH HIDKeKQHH AeHcTBHe

nOnepeqHoro npOCTPaHCTBeHHoro 3aplIlla npolIBJIlIeTCR B BHlle YMeHbllIeHHR qaCTOTbI

6eTa-rpoHHbIX KOJIe6aHHH BHaqaJIe npOH3BelleM OQeHKY CllBHra qaCTOT BOCnOJIb30BaBllIHCb

CJIellYIOmHMH qopMYJIaMH[2]

Q2 __ Q2 _ 4nroar2x ir Z 0 y3 ir + amp rlle X - nJIOTHOCTb npoc-rpaHCTBeHHOro 3apMa npH

3JlJlHnTHqeCKOM nOnepeqHOM CeqeHHH cryCTKa H paBHOMepHOM pacnpelleJIeHHH 3aplIlla

paBHa

81

Qzo=lO p=0023 rod=O 7671016 CM (KJIaCCHqeCKHH PaAHYC lleHTpOHa)

r=cl2Jif=1l575 CM

ir=2 CM amp=2 CM - pallHaJIbHbIH aKCHaJIbHbIH pa3MepbI CryCTKa I1rp=nl6 Bll shyqa30BalI npOTlI)KeHHOCTb cryCTKa

3HaqeHHe aKCHaJIbHOH qaCTOTbI AJIlI TOKa 20 MA YMeHbllIHTClI Ha 03 qTQ llOnYCTHMO

AaJIee 6bIJIH npOH3BelleHbI oueHKH npelleJIbHoro TOKa (llJIR Tex )Ke napaMerpoB) C

HCnOJIb30BaHHeM UHJlHHllpHqeCKOH MOlleJIH nyqKa[3] npellnOJIaraIOmeH paBHoMepHYIO

nJIOTHOCTb 3aplIlla CJIellYlOmHe llOnymeHHR a) aKCHaJIbHalI qaCTOTa B ueH-rpe UHKJIo-rpOHa

MeHbllIe qeM roPH30HTaJIbHalI 6) aKcenTaHC YCTaHOBKH MHOro 60JIbllIe qeM 3MHTTaHC

nyqKa B) nyqOK crpynnHpoBaH C qa30BOH llIHPHHOH )rp npHBOART K q0PMYJIe

I - ~(iJI Rn2 (amp 12J2( f1 PJ lim - 4 Z oPLzo Roc 2rc)

10 - YHHBepCaJIbHbIH TOK AJIR lleH-rpOHOB 10 ~ 31 MA (py)10 -Alfven - TOK

COrJIaCHO 3TOH qopMYJIe npelleJIbHbIH TOK 1Um =22 MA

220ueIlKa OeiiCm6UJ1 npOOOllb1l0l0 npOCmpa1lCm6e1l1I0l0 3apROa BJIHlIHHe CHJI npOllOJIbHOro npoc-rpaHCTBeHHoro 3aplIlla npHBOllHT K pa36pocy 3HeprHH

nyqKa qTO MO)KeT npenlITCTBOBaTb pa3lleJIeHHIO Op6HT He06xollHMOMY llJIlI 3qqeKTHBHOrO

BbIBOlla Pa36poc 3HeprHH BbI3BaHHbIH npoc-rpaHCTBeHHbIM 3apRllOM He lIBJIReTClI JIHHeHHOH

qYHKQHeH qa30BOro pa3Mepa nyqKa

TIOJIHbIH pa36poc 3HepmH nOCJIe n o60pOTOB BbI3BaHHbIH JIHHeapH30BaHHOH qaCTblO

npoc-rpaHCTBeHHoro 3aplIlla MO)KHO oueHHTb no qopMYJIe[3] BbITeKaIOmeH H3 llHCKOBOH

2

28kn lt 1 gt 27f n I1tp Pmax

OueHKH 6bIJIH npOH3BelleHbI AJIlI cJIellyIDmHX llaHHblX

KOJIHqeCTBO 060pOTOB n=20 3max=O 126 lt[gt=20 MA pa36poc 3HeprHH COCTaBHJI

LJUsc=21 M3BHYKJIOH KOJIHqeCTBO 060pOTOB n=17 3max=0126 lt1gt=20 MA pa36poc 3HeprHH COCTaBHJI

LJUsc=15 M3BHYKJIOH nHHeHHalI qaCTb npoc-rpaHCTBeHHoro 3aplIlla MO)KeT 6bITb KOMneHcHpoBaHa flattopshy

pesoHaTOpoM AeHCTBHe HeJIHHeHHOH qaCTH np0llOJIbHoro npoCTPaHCTBeHHoro 3apRlla

2

1 BBel(eHHe TIpoBelJeHHble paHee paCLfeTbl[l] nOKa3aJIH LfTO npH 3HeprHH HIDKeKUHH Wj = 03 M3B

H KpaTHocTH YCKopeHH5I h = 18 ueHTpaJIbHa5I o6nacTb lJHKnOTpoHa HMeeT cnHWKOM MaJIble

nonepeLfHbIe aKcenTaHCbI lJn5I YCKopeHH5I CHnbHOTOLfHoro nyLfKa l(mI ysenHLfeHH5I

aKcenTaHCOB 6bIJIa nOBbIweHa meprH5I HH)KeKlJHH H YMeHbweHa KpaTHoCTb YCKopeHH5I

TIapaMeTpbI Hcnonb3yeMble lJn51 paCLfeTOS npelJCTaBneHbI B Ta6nHlJe 1

T 6 1 na JlHUa apaMeTpblUHKJlOTpOHa

THn lJHKnOTpoHa CeKTOpHbIH

YCKOp5leMa5I LfaCTHlJa neHTpoH

3HeprH5I HH)KeKlJHH (M3B) 05 KOHeLfHa51 3HeprH5I (M3B) 150 HHTeHcHBHoCTb (MA) 10

MafHHTHaSi CHCTeMa

lHcno ceKTOpoB 4

YrnOBa5I npOT5I)KeHHOCTb ceKTopa (0) 30

Me)KnOnIOCHoH 3a30p (CM) 3 PalJHaJIbHa5I npOT5I)KeHHOCTb nonlOca (CM) 15 +165 CpelJHee MarHHTHoe none (Kf~ 5 MaKCHMaJIbHb[H tPnaTTep 145

YCKOPSIlOlUaSi CHCTeMa

lHcno L-3neKTp0lJOB 2 Pe30HaHCHa5I LfaCTOTa (MrlJ) 495 YrnOBa5I npOT5I)KeHHOCTb L-3neKTPonoB ( 0) 125 lIllIpHHa YCK menH (0) 25 AKcHanbHa5I anepTYpa (CM) 20 PaDHaJIbHa5I npOnl)KeHHOCTb (CM) 15 +165 Bl-Hanp5l)KeHHe (KB) 100+350

)lHHaMHKa aCTHU

lacToTa o6pameHH5I (MrlJ) 4125 KpaTHOCTb )cKojleHH5I 12 Ha60p 3HeprHH (M3B) 04+12 IDaI Op6HT Ha HIDKeKUHH (CM) 8

Ha BbIBone (CM) 5 qacToTbI cBo6onHbIX Kone6aHHH panHaJIbHbIX 11+12

aKCHaJIbHbIX 10+12 I

2 3c1)(lJeKTbl npocTpaHcTBeHHoro 3apHl(a - aHaJIHTHIeCKHe oueHKH CHnbI npOCTPaHCTBeHHoro 3ap5lna B lJHKnOTPOHe MO)J(HO pa3lJenHTb Ha CHnbI

nonepeLfHoro H nponOJlbHOro lJeHCTBHH TIonepeLfHbIe CHnbI npOCTPaHCTBeHHoro 3apAAa

npe06JlaDaIOT B ueHrpe UHKJIOTPOHa H B OCHOBHOM OCna6n51IOT BePTHKaJIbHYlO tP0KYCHPOBKY TIpononbHble CHnbI npHBOlJ5lT K pa36pocy 3HeprHH KOTOPbIH npSlMO nponOpUHOHaJIeH

cpenHeH HHTeHCHBHOCTH nyLJKa H o6paTHO nponOpUHOHaJIeH nonHOH tPa30BOH WHpHHe

1

I

21 Oue1lKa 8JlUJlIIUJI nOnepelf1l0l0 npocmpa1lCm6e1l1I0l0 3apRoa TaK KaK np06JIeMa nonepellHoro npoc-rpaHCTBeHHoro 3apRlla llOMHHHPYeT Ha HH3KHX

meprHRX nOCJIellyIDmHe paCqeTbI ClleJIaHbIllJIR 3HeprHH HIDKeKQHH AeHcTBHe

nOnepeqHoro npOCTPaHCTBeHHoro 3aplIlla npolIBJIlIeTCR B BHlle YMeHbllIeHHR qaCTOTbI

6eTa-rpoHHbIX KOJIe6aHHH BHaqaJIe npOH3BelleM OQeHKY CllBHra qaCTOT BOCnOJIb30BaBllIHCb

CJIellYIOmHMH qopMYJIaMH[2]

Q2 __ Q2 _ 4nroar2x ir Z 0 y3 ir + amp rlle X - nJIOTHOCTb npoc-rpaHCTBeHHOro 3apMa npH

3JlJlHnTHqeCKOM nOnepeqHOM CeqeHHH cryCTKa H paBHOMepHOM pacnpelleJIeHHH 3aplIlla

paBHa

81

Qzo=lO p=0023 rod=O 7671016 CM (KJIaCCHqeCKHH PaAHYC lleHTpOHa)

r=cl2Jif=1l575 CM

ir=2 CM amp=2 CM - pallHaJIbHbIH aKCHaJIbHbIH pa3MepbI CryCTKa I1rp=nl6 Bll shyqa30BalI npOTlI)KeHHOCTb cryCTKa

3HaqeHHe aKCHaJIbHOH qaCTOTbI AJIlI TOKa 20 MA YMeHbllIHTClI Ha 03 qTQ llOnYCTHMO

AaJIee 6bIJIH npOH3BelleHbI oueHKH npelleJIbHoro TOKa (llJIR Tex )Ke napaMerpoB) C

HCnOJIb30BaHHeM UHJlHHllpHqeCKOH MOlleJIH nyqKa[3] npellnOJIaraIOmeH paBHoMepHYIO

nJIOTHOCTb 3aplIlla CJIellYlOmHe llOnymeHHR a) aKCHaJIbHalI qaCTOTa B ueH-rpe UHKJIo-rpOHa

MeHbllIe qeM roPH30HTaJIbHalI 6) aKcenTaHC YCTaHOBKH MHOro 60JIbllIe qeM 3MHTTaHC

nyqKa B) nyqOK crpynnHpoBaH C qa30BOH llIHPHHOH )rp npHBOART K q0PMYJIe

I - ~(iJI Rn2 (amp 12J2( f1 PJ lim - 4 Z oPLzo Roc 2rc)

10 - YHHBepCaJIbHbIH TOK AJIR lleH-rpOHOB 10 ~ 31 MA (py)10 -Alfven - TOK

COrJIaCHO 3TOH qopMYJIe npelleJIbHbIH TOK 1Um =22 MA

220ueIlKa OeiiCm6UJ1 npOOOllb1l0l0 npOCmpa1lCm6e1l1I0l0 3apROa BJIHlIHHe CHJI npOllOJIbHOro npoc-rpaHCTBeHHoro 3aplIlla npHBOllHT K pa36pocy 3HeprHH

nyqKa qTO MO)KeT npenlITCTBOBaTb pa3lleJIeHHIO Op6HT He06xollHMOMY llJIlI 3qqeKTHBHOrO

BbIBOlla Pa36poc 3HeprHH BbI3BaHHbIH npoc-rpaHCTBeHHbIM 3apRllOM He lIBJIReTClI JIHHeHHOH

qYHKQHeH qa30BOro pa3Mepa nyqKa

TIOJIHbIH pa36poc 3HepmH nOCJIe n o60pOTOB BbI3BaHHbIH JIHHeapH30BaHHOH qaCTblO

npoc-rpaHCTBeHHoro 3aplIlla MO)KHO oueHHTb no qopMYJIe[3] BbITeKaIOmeH H3 llHCKOBOH

2

28kn lt 1 gt 27f n I1tp Pmax

OueHKH 6bIJIH npOH3BelleHbI AJIlI cJIellyIDmHX llaHHblX

KOJIHqeCTBO 060pOTOB n=20 3max=O 126 lt[gt=20 MA pa36poc 3HeprHH COCTaBHJI

LJUsc=21 M3BHYKJIOH KOJIHqeCTBO 060pOTOB n=17 3max=0126 lt1gt=20 MA pa36poc 3HeprHH COCTaBHJI

LJUsc=15 M3BHYKJIOH nHHeHHalI qaCTb npoc-rpaHCTBeHHoro 3aplIlla MO)KeT 6bITb KOMneHcHpoBaHa flattopshy

pesoHaTOpoM AeHCTBHe HeJIHHeHHOH qaCTH np0llOJIbHoro npoCTPaHCTBeHHoro 3apRlla

2

21 Oue1lKa 8JlUJlIIUJI nOnepelf1l0l0 npocmpa1lCm6e1l1I0l0 3apRoa TaK KaK np06JIeMa nonepellHoro npoc-rpaHCTBeHHoro 3apRlla llOMHHHPYeT Ha HH3KHX

meprHRX nOCJIellyIDmHe paCqeTbI ClleJIaHbIllJIR 3HeprHH HIDKeKQHH AeHcTBHe

nOnepeqHoro npOCTPaHCTBeHHoro 3aplIlla npolIBJIlIeTCR B BHlle YMeHbllIeHHR qaCTOTbI

6eTa-rpoHHbIX KOJIe6aHHH BHaqaJIe npOH3BelleM OQeHKY CllBHra qaCTOT BOCnOJIb30BaBllIHCb

CJIellYIOmHMH qopMYJIaMH[2]

Q2 __ Q2 _ 4nroar2x ir Z 0 y3 ir + amp rlle X - nJIOTHOCTb npoc-rpaHCTBeHHOro 3apMa npH

3JlJlHnTHqeCKOM nOnepeqHOM CeqeHHH cryCTKa H paBHOMepHOM pacnpelleJIeHHH 3aplIlla

paBHa

81

Qzo=lO p=0023 rod=O 7671016 CM (KJIaCCHqeCKHH PaAHYC lleHTpOHa)

r=cl2Jif=1l575 CM

ir=2 CM amp=2 CM - pallHaJIbHbIH aKCHaJIbHbIH pa3MepbI CryCTKa I1rp=nl6 Bll shyqa30BalI npOTlI)KeHHOCTb cryCTKa

3HaqeHHe aKCHaJIbHOH qaCTOTbI AJIlI TOKa 20 MA YMeHbllIHTClI Ha 03 qTQ llOnYCTHMO

AaJIee 6bIJIH npOH3BelleHbI oueHKH npelleJIbHoro TOKa (llJIR Tex )Ke napaMerpoB) C

HCnOJIb30BaHHeM UHJlHHllpHqeCKOH MOlleJIH nyqKa[3] npellnOJIaraIOmeH paBHoMepHYIO

nJIOTHOCTb 3aplIlla CJIellYlOmHe llOnymeHHR a) aKCHaJIbHalI qaCTOTa B ueH-rpe UHKJIo-rpOHa

MeHbllIe qeM roPH30HTaJIbHalI 6) aKcenTaHC YCTaHOBKH MHOro 60JIbllIe qeM 3MHTTaHC

nyqKa B) nyqOK crpynnHpoBaH C qa30BOH llIHPHHOH )rp npHBOART K q0PMYJIe

I - ~(iJI Rn2 (amp 12J2( f1 PJ lim - 4 Z oPLzo Roc 2rc)

10 - YHHBepCaJIbHbIH TOK AJIR lleH-rpOHOB 10 ~ 31 MA (py)10 -Alfven - TOK

COrJIaCHO 3TOH qopMYJIe npelleJIbHbIH TOK 1Um =22 MA

220ueIlKa OeiiCm6UJ1 npOOOllb1l0l0 npOCmpa1lCm6e1l1I0l0 3apROa BJIHlIHHe CHJI npOllOJIbHOro npoc-rpaHCTBeHHoro 3aplIlla npHBOllHT K pa36pocy 3HeprHH

nyqKa qTO MO)KeT npenlITCTBOBaTb pa3lleJIeHHIO Op6HT He06xollHMOMY llJIlI 3qqeKTHBHOrO

BbIBOlla Pa36poc 3HeprHH BbI3BaHHbIH npoc-rpaHCTBeHHbIM 3apRllOM He lIBJIReTClI JIHHeHHOH

qYHKQHeH qa30BOro pa3Mepa nyqKa

TIOJIHbIH pa36poc 3HepmH nOCJIe n o60pOTOB BbI3BaHHbIH JIHHeapH30BaHHOH qaCTblO

npoc-rpaHCTBeHHoro 3aplIlla MO)KHO oueHHTb no qopMYJIe[3] BbITeKaIOmeH H3 llHCKOBOH

2

28kn lt 1 gt 27f n I1tp Pmax

OueHKH 6bIJIH npOH3BelleHbI AJIlI cJIellyIDmHX llaHHblX

KOJIHqeCTBO 060pOTOB n=20 3max=O 126 lt[gt=20 MA pa36poc 3HeprHH COCTaBHJI

LJUsc=21 M3BHYKJIOH KOJIHqeCTBO 060pOTOB n=17 3max=0126 lt1gt=20 MA pa36poc 3HeprHH COCTaBHJI

LJUsc=15 M3BHYKJIOH nHHeHHalI qaCTb npoc-rpaHCTBeHHoro 3aplIlla MO)KeT 6bITb KOMneHcHpoBaHa flattopshy

pesoHaTOpoM AeHCTBHe HeJIHHeHHOH qaCTH np0llOJIbHoro npoCTPaHCTBeHHoro 3apRlla

2

npHBOllHT K OrpaHHtfeHHIO Ha npellenbHblH TOK nytfKa CB5I3aHHOMY C pa3lleneHHeM op6HT

BOcnonb3yeMcSI CnellYlOlllHM KpHTepHeM pa3lleneHH5I Op6HT[3]

I U r (I1rpJ fJrnav lt in28kO 2ft -T

rlle Vf KOHetfHlUI meprnSl in - npHHHMaJ1aCb paBHOH 03 H OnpelleAAeT llOnlO

HenHHeHHoro pa36poca HanpSl)l(eHH5I OT nHHeHHoro

OUsc(HeJlllHeilHbZU) 5 in t1Vsc(JlUHeUHbIU)

B pe3ynbTaTe npellenbHblH TOK llOnYCKalOlllHH pa3lleneHHe Op6HT npH n= 20 COCTaBHT

12MA

3 lJuCJleHHOe MO)JeJlHpOB8Hue

31 OnmUMaJlblf6le YCJl06UR OJlR UIfJICeKuuu uelfmpaJlblfOii QaCmUl(61

)1nSl paCtfeTOB llHHaMHKH nytfKa 6e3 YleTa npOCTpaHCTBeHHoro 3ap5llla HcnOnb30BaJ1aCb

nporpaMMa MOVIDE BHYTPH KOTOPOH HHTerpHpOBaJ1HCb nonHble ypaBHeHIDI llBH)I(eHH5I

3ap5l)l(eHHOH tfaCTHUbl B meKTpOMarHHTHOM none UHKnOTpOHa Bq-Hanp5)l(eHHe nHHeHHO

pocno OT 125 B ueHTpe llO 250 KB Ha BbIBOlle wHpHHa YCKOP5llOlllHX llleneH MeH5InaCb

nHHeHHo OT 2 llO 5 CM

B KatfeCTBe CTapTOBOro yrna llnSi paCIeTa llHHaMHKH tfaCTHU 6bIn B35IT a3HMYT ltP 0deg

KOTOPblH pacnOnO)l(eH 3a 375deg llO CepellHHbl nepBoH YCKopSilOllleH lllenH Ha 3TOM a3HMYTe B

TpexMepHoM ltlgta30BOM npocTpaHcTBe (r r II) rlle jI - CTapTOBlUI ltlgta3a tfaCTHUbl

OTHOCHTenbHO BQ-HanpSl)l(eHH5I npOBOllHnC5I nOHCK OnTHMaJ1bHOH tfaCTHUbl KOTOPlUl

o6nallaJ1a 6bl K KOHUY TpeTberO o6opoTa MHHHMaJ1bHOH aMnnHTYllOH panHaJ1bHblX

Kone6aHHH H HaXOllHnaCb B6nH3H MaKcHMYMa BQ-Hanp5l)l(eHH5I B MOMeHT nponeTa

YCKOP5llOlllHX llleneH leneBlUI ltlgtYHKUH5I BHlla X = Ar (CM) + jIlO (OB1I) rlle Ar - aMnnHrylla

pallHaJ1bHblX Kone6aHHH HcnOnb30BaJ1aCb B npouecce nOHCKa OnTHMaJ1bHOH tfaCTHUbl 3TH

paCtfeTbl noKa3aJ1H tfTO HeB03MO)l(HO OllHOBpeMeHHO l106HTbC5I HyneBblx panHaJ1bHblX

Kone6aHHH H MaKCHMaJ1bHOro Ha60pa meprHH MHHHMaJ1bHOe 3HatfeHHe ueneBOH ltlgtYHKUHH

OKa3aJ10Cb paBHblM 07 tfTO COOTBeTCTBOBaJ10 IaCTHue C Ar = 05 CM H jI = 200BQ B

MOMeHT cTapTa na IaCTHua HMena CnellYlOlllHe napaMeTpbl r=3142 CM r=141 CM

jI =-400BQ Ha pHC 1 nOKa3aHa TpaeKTOpHSI OnTHMaJ1bHOH tfaCniUbl B TetfeHHe nepBblx Tpex

060pOTOB

32 AKcenmalfc61 l(elfmpaJIblfOii o6Jlacmu YCKopUmeJlR

)(mt paCtfeTa aKcenTaHCOB CHatfaJ1a reHepHpOBaJ1HCb cnYtfaHHblM 06pa30M Ha60Pbl 100

tfaCTHU B 5-MepHoM ltlgta30BOM 06beMe (r r z z II) KOTOPblH OKPY)I(aJ1 OnTHMaJ1bHYIO

tfaCTHUY BapbHpOBaJ1HCb CPa30BlUI npOT5I)I(eHHOCTb cryCTKa ero nOnepetfHble pa3Mepbl H

0pHeHTaUH5I oceH 3nnHnCOB Ha ltlgta30BbIX nnOCKOCT5IX 3aTeM 3TH Ha60Pbl tfaCTHU

YCKopnnHCb B TetfeHHe Tpex 060pOTOB B KatfeCTBe orpaHHtfeHHH onpellen5llOlllHX 3HatfeHHn

aKcenTaHCOB UHKnOTpOHa B llaHHOM cnYtfae 6bInH HCnOnb30BaHbl CnellYlOlllHe nOnO)l(eHIDI

bull panHaJIbHlUI npOTn)l(eHHOCTb CBo60llHOH OT tfaCTHU 30HbI Me)l(llY HH)I(eKTHpyeMblM

nYtfKOM H COBepWHBWHM OllHH 060pOT llOn)l(Ha 6bITb He MeHee 1a CM~

bull aKCHaJIbHblH pa3Mep nYIKa He llOn)l(eH npeBbIwaTb 075 anepTYpbl A-3neKTpOlla

B pesynbTaTe paCtfeTOB 6bInH nonYieHbI CnellYlOlllHe 3HatfeHHSI aKcenTaHCOB

- panHaJIbHblH Er=1261t MMmiddotMPan

- aKCHaJIbHblH Ez= 251t MMmiddotMPan

- ltlgta30BbIH EIf= 30deg BQ

3

Ha pHc2 npHBetteHbI Ha 4gta30BbIX nJIOCKOCTHX paztHaJIbHOrO H aKCHaJIbHOro ttBH)I(eHIDI

CTapTOBbIe nOJIO)l(eHHj 100 qaCTHU COOTBeTCTBYlOlllHe aKcenTaHcaM ueHTPaJIbHOH 06JIaCTH

UHKJIorpoHa Ha pHC) nOKa3aHbl nepBbIe 060pOTbi 100 qaCTHU 3anOJIHHBWHX aKcenTaHC

UHKJIorpoHa Ha PHC4 npHBetteHbI aKCHaJIbHbIe rpaeKTOpHH 3THX )l(e qaCTHU 3aMeTHO

YBeJIHqeHHe aMnJIHTYtt aKCHaJIbHblX KOJIe6aHHH npHMepHo B ) pa3a BO BpeMj nepBblX ttByx

o60poTOB npHqHHa pOCTa aKCHaJIbHbIX aMnJIHTYtt OCTaJIaCb nOKa HeBbIjCHeHHoH BecbMa

BepOjITHO ITO 3TOT 4gtaKT CBj3aH C TeM ITO qaCTOTbI CB060ttHbIX nOnepeqHblX KOJIe6aHHH Ha

nepBOM o60poTe 6JIH3KH (Q =11 Qz =105) a Ha BTOPOM H nOCJIettylOlllHx 060poTax

npaKTHqeCKH COBnaztaIOT (Q ~Qz ~12) no cpaBHeHHIO C npettblttYlllHM BapHaHTOM UHKJIorpoHa YBeJIHqeHHe 3HeprHH

HH)I(eKUHH H YMeHbweHHe KpaTHoCTH YCKopeHHj npHBeJIH K CYllleCTBeHHOMY YBeJIHqeHHIO

(B 7 pa3) paztHaJIbHOro aKcenTaHca tta)l(e npH 60JIee )l(eCTKOM ero onpetteJIeHHH (paHee

tteKJIapHpOBaJIaCb cBo60ttHM 30Ha 5 CM) lttraquoa30BbIH aKcemaHC TaKgtKe BbIpOC H OqeBHttHO qro

OH MO)l(eT 6bITb ellle YBeJIHqeH eCJIH paztHaJIbHblH 3MHTTaHC HH)I(eKTHpyeMoro nyqKa He

6ytteT npeBbIwaTb 1001tdegMMoMpatt AKCHaJIbHblH aKcemaHC npaKTHqeCKH He H3MeHHJICj H

npHqHHa 3TOro 3aKJIlOqaeTcj B pOCTe aKCHaJIbHbIX aMnJIHTYtt no HeBbljCHeHHbIM nOKa tt0

KOHua npHqHHaM B03MO)l(HO lfTO MbI Ha6JIIOttaeM tteHCTBHe Pa3HOCTHOro pe30HaHCa CBj3H

Qr - Qz =0

PHC 1 nepBbIe rpH 060poTa ueHrpaJIbHOH qaCTHUbI 4gta30BOro 06beMa

2S

20 bull ofmiddotmiddot bull bulltbull-r

a bullbullbullbullbull bull - a)- 05

04

02

E -200 a

-02

-04

fIIbullbull bull -shy

bullbull1 bull cshy ~ 4 ~

b) 00 ----------------------------1

300 305 310 315 320 325 330 -04 -02 00 02 04

R(cm) Z(cm)

PHC 2 CTaproBble nOJIO)l(eHHj nyqKa Ha 4gta30BblX nJIOCKOCTHX panHaJIbHoro a) H

aKCHaJIbHOro 6) ttBH)I(eHHj llnolllattH 3aHHMaeMbie nyqKOM COOTBeTCTBYfOT aKcellT8HCaM

UHKJIorpOHa

4

10

30

30 40 50 X(cm)

PlIC 3 IIepBble TplI o6opoTa 100 qaCTlIlI npellCTaBJUHOIlllIX tPa30BbIH 06beM nyqKa paBHblu

aKcenTaHcy lIeHTPaJIbHOH 06JIaCTlI lIlIKJIOTpOHa

z (em)

250

Axial t~ajectory dturn= 01 D Q= 1 U=12S h=12 Fmi= -43 Fma= -23 f~ 4125

I I I

200 -----~------r----------

1 50 - - - shy ~ - - - - - -- - - - - - ~ - - - shy

100

50

00

-50

100

150

200

250 00

I I

50 100 150 200 250 300 350 400 450 500 T URN S

PlIC 4 AKCIHUlbHble TPaeKTOplIlI 100 qaCTlIlI npellCTaBJUHOIlllIX tPa3OBhIH 06beM llyqKa

paBHbIU aKcenTaHCY lIeHTpaJIbHOH o6JIacTlI lIlIKJIOTPOHa

5

33 3tjJljJeKmbl npocmpaHcm8eHHolo 3apRoa )1ml paCqeTOB HCnOJIb30BaJIC~ nporpaMMHblH KOMnJIeKc[4] B OCHOBe KOToporo JIe)l(HT

nporpaMMa NAJO [5] C03JlaHHM JlJI~ paCqeTOB JlHHaMHKH qaCTHQ B CeKTOpHblX

UHKJIOTpOHax GANIL B OCHOBe nporpaMMbl

HHTerpHpOBaHHe JlHltpltpepeHUHaJIbHbIX ypaBHeHHH MeTOJlOM PYHre-Kyrra (mar

HHTerpHpoBaHH~ 05deg)

YCKopeHHe - B npH6JIH)l(eHHH TOHKHX JIHH3 (nocTO~HHM CKOPOCTb H KoopJJHHaTa)

TOJIqKH B QeHTpe yCKop~IDIQeH IQeJIH HMeeTC~ B03MO)l(HOCTb pa3MeIQeHH~ flattopshy

pe30HaTopa

JJJI~ MOJJeJIHpOBaHH~ nyqKa HCnOJIb3yeTC~ 100+200 qaCTHQ

JleHCTBHe npocTpaHcTBeHHoro 3ap~JJa yqHTblBaeTC~ 8 pa3 Ha o6opoTe MCnOJIb3yeTC~ equivalent continuous method

fIporpaMMa JJonOJIHeHa nOJJnporpaMMaMH BbllmCJI~IDIQHMH H30xpOHHoe nOJIe no

MeTOJJY rOpJlOHa KOppeKTHpyIDIQHMH paCqeTHOe nOJIe BblqHCJI~IDIQHMH 6eTaTpoHHble

qaCTOTbI

1mI paCqeTOB HCnOJIb30BaJIOCb H30xpOHHoe nOJIe npeJJCTaBJIeHHOe B pa60Te[ 1] Ha60p meprHH npoHcxoJJHJI B TeqeHHe 20 060pOTOB B KaqeCTBe cTapTOBoro yrJIa 6bIJI B3~T

a3HMYT qgt = - 45deg Ha pHc5 ltpa3a UeHTpaJIbHOH qaCTHllbI nOKa3aHa B 3aBHCHMOCTH OT

paJlHyca

50

40

30

CL 20c C) Q) 10 ~ Q) Ul ro 0

J CL

-10

-20

~ 1

l I 1

I

I I i 1 i

I

ii L Iii

A I

II I i r- shy~ I

i-~

~I~ I I

II

-30 02 04 06 08 10 12 14 16

Radius (m)

PHC 5 ltlgta30BOe JlBH)l(eHHe lleHTpaJIbHOH qaCTHlbl

Ha pHC 6 )laRa 3aBHCHMOCTb 3HeprHH QeHTpaJIhHoH qaCTHQhI OT PMHyca Ha pHc7 - qaCTOThl

CB06o)lHhIX KOJIe6aHHH

6

8

2 6gt (J)

~ c 0 4(J)

13 I C

gtshy0) I 2(J) C

UJ

o 02 08 10 12 14 16

-- f------L----04 06

I I

V

1

~

I

Radius (m)

PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca

125

120

115

N a (j 110

105

100

-- ~L--- ~~~ i-

~jyW~ ~

V Qz Qr

V I

I

I

02 04 06 08 10 12 14 16

Radius(m)

PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH

CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B

HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH

7

Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM

CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe

331 neHTp

Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT

3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K

pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO

aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh

-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro

aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM

npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh

TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa

S ~ E

-II

E E

-II

0 N E UJ

100

80

60

40

20

0

= 0 rnA

0 2 4 6 8

Energynucleon (MeVn)

PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB

)JIjI 1=0 MA H 1=20 MA

TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO

corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax

3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce

-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY

rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex

o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT

OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe

paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU

8

2 0

1 5 II)

c e Q)

5a Q)-01 0 0 shyQ) 0 E J 5Z

0 o 25 o 3 0 o 35 o 4 0 o 4 5

R a diu s (m )

f) c e s J Q) 0

4 0

0 020 0 E J Z

o o 2 5 030 035 040 o 45

Radius (m)

PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB

(a - 100 QaCTHI1 6 - 200 QaCTHu)

9

332 30Ra BblBOAa

Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH

Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro

3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B

rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX

pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20

060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha

pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY

o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa

rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy

pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H

CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe

pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe

nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO

COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT

COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX

rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce

YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO

(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO

o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro

3MHTTaHca

4 3aKJ1IOQeHHe

YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K

cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa

CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe

pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA

TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH

OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B

CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI

Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI

BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl

ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY

rrpH rrpOBeZleHHH pa6OTbI

10

Ha pHc2 npHBetteHbI Ha 4gta30BbIX nJIOCKOCTHX paztHaJIbHOrO H aKCHaJIbHOro ttBH)I(eHIDI

CTapTOBbIe nOJIO)l(eHHj 100 qaCTHU COOTBeTCTBYlOlllHe aKcenTaHcaM ueHTPaJIbHOH 06JIaCTH

UHKJIorpoHa Ha pHC) nOKa3aHbl nepBbIe 060pOTbi 100 qaCTHU 3anOJIHHBWHX aKcenTaHC

UHKJIorpoHa Ha PHC4 npHBetteHbI aKCHaJIbHbIe rpaeKTOpHH 3THX )l(e qaCTHU 3aMeTHO

YBeJIHqeHHe aMnJIHTYtt aKCHaJIbHblX KOJIe6aHHH npHMepHo B ) pa3a BO BpeMj nepBblX ttByx

o60poTOB npHqHHa pOCTa aKCHaJIbHbIX aMnJIHTYtt OCTaJIaCb nOKa HeBbIjCHeHHoH BecbMa

BepOjITHO ITO 3TOT 4gtaKT CBj3aH C TeM ITO qaCTOTbI CB060ttHbIX nOnepeqHblX KOJIe6aHHH Ha

nepBOM o60poTe 6JIH3KH (Q =11 Qz =105) a Ha BTOPOM H nOCJIettylOlllHx 060poTax

npaKTHqeCKH COBnaztaIOT (Q ~Qz ~12) no cpaBHeHHIO C npettblttYlllHM BapHaHTOM UHKJIorpoHa YBeJIHqeHHe 3HeprHH

HH)I(eKUHH H YMeHbweHHe KpaTHoCTH YCKopeHHj npHBeJIH K CYllleCTBeHHOMY YBeJIHqeHHIO

(B 7 pa3) paztHaJIbHOro aKcenTaHca tta)l(e npH 60JIee )l(eCTKOM ero onpetteJIeHHH (paHee

tteKJIapHpOBaJIaCb cBo60ttHM 30Ha 5 CM) lttraquoa30BbIH aKcemaHC TaKgtKe BbIpOC H OqeBHttHO qro

OH MO)l(eT 6bITb ellle YBeJIHqeH eCJIH paztHaJIbHblH 3MHTTaHC HH)I(eKTHpyeMoro nyqKa He

6ytteT npeBbIwaTb 1001tdegMMoMpatt AKCHaJIbHblH aKcemaHC npaKTHqeCKH He H3MeHHJICj H

npHqHHa 3TOro 3aKJIlOqaeTcj B pOCTe aKCHaJIbHbIX aMnJIHTYtt no HeBbljCHeHHbIM nOKa tt0

KOHua npHqHHaM B03MO)l(HO lfTO MbI Ha6JIIOttaeM tteHCTBHe Pa3HOCTHOro pe30HaHCa CBj3H

Qr - Qz =0

PHC 1 nepBbIe rpH 060poTa ueHrpaJIbHOH qaCTHUbI 4gta30BOro 06beMa

2S

20 bull ofmiddotmiddot bull bulltbull-r

a bullbullbullbullbull bull - a)- 05

04

02

E -200 a

-02

-04

fIIbullbull bull -shy

bullbull1 bull cshy ~ 4 ~

b) 00 ----------------------------1

300 305 310 315 320 325 330 -04 -02 00 02 04

R(cm) Z(cm)

PHC 2 CTaproBble nOJIO)l(eHHj nyqKa Ha 4gta30BblX nJIOCKOCTHX panHaJIbHoro a) H

aKCHaJIbHOro 6) ttBH)I(eHHj llnolllattH 3aHHMaeMbie nyqKOM COOTBeTCTBYfOT aKcellT8HCaM

UHKJIorpOHa

4

10

30

30 40 50 X(cm)

PlIC 3 IIepBble TplI o6opoTa 100 qaCTlIlI npellCTaBJUHOIlllIX tPa30BbIH 06beM nyqKa paBHblu

aKcenTaHcy lIeHTPaJIbHOH 06JIaCTlI lIlIKJIOTpOHa

z (em)

250

Axial t~ajectory dturn= 01 D Q= 1 U=12S h=12 Fmi= -43 Fma= -23 f~ 4125

I I I

200 -----~------r----------

1 50 - - - shy ~ - - - - - -- - - - - - ~ - - - shy

100

50

00

-50

100

150

200

250 00

I I

50 100 150 200 250 300 350 400 450 500 T URN S

PlIC 4 AKCIHUlbHble TPaeKTOplIlI 100 qaCTlIlI npellCTaBJUHOIlllIX tPa3OBhIH 06beM llyqKa

paBHbIU aKcenTaHCY lIeHTpaJIbHOH o6JIacTlI lIlIKJIOTPOHa

5

33 3tjJljJeKmbl npocmpaHcm8eHHolo 3apRoa )1ml paCqeTOB HCnOJIb30BaJIC~ nporpaMMHblH KOMnJIeKc[4] B OCHOBe KOToporo JIe)l(HT

nporpaMMa NAJO [5] C03JlaHHM JlJI~ paCqeTOB JlHHaMHKH qaCTHQ B CeKTOpHblX

UHKJIOTpOHax GANIL B OCHOBe nporpaMMbl

HHTerpHpOBaHHe JlHltpltpepeHUHaJIbHbIX ypaBHeHHH MeTOJlOM PYHre-Kyrra (mar

HHTerpHpoBaHH~ 05deg)

YCKopeHHe - B npH6JIH)l(eHHH TOHKHX JIHH3 (nocTO~HHM CKOPOCTb H KoopJJHHaTa)

TOJIqKH B QeHTpe yCKop~IDIQeH IQeJIH HMeeTC~ B03MO)l(HOCTb pa3MeIQeHH~ flattopshy

pe30HaTopa

JJJI~ MOJJeJIHpOBaHH~ nyqKa HCnOJIb3yeTC~ 100+200 qaCTHQ

JleHCTBHe npocTpaHcTBeHHoro 3ap~JJa yqHTblBaeTC~ 8 pa3 Ha o6opoTe MCnOJIb3yeTC~ equivalent continuous method

fIporpaMMa JJonOJIHeHa nOJJnporpaMMaMH BbllmCJI~IDIQHMH H30xpOHHoe nOJIe no

MeTOJJY rOpJlOHa KOppeKTHpyIDIQHMH paCqeTHOe nOJIe BblqHCJI~IDIQHMH 6eTaTpoHHble

qaCTOTbI

1mI paCqeTOB HCnOJIb30BaJIOCb H30xpOHHoe nOJIe npeJJCTaBJIeHHOe B pa60Te[ 1] Ha60p meprHH npoHcxoJJHJI B TeqeHHe 20 060pOTOB B KaqeCTBe cTapTOBoro yrJIa 6bIJI B3~T

a3HMYT qgt = - 45deg Ha pHc5 ltpa3a UeHTpaJIbHOH qaCTHllbI nOKa3aHa B 3aBHCHMOCTH OT

paJlHyca

50

40

30

CL 20c C) Q) 10 ~ Q) Ul ro 0

J CL

-10

-20

~ 1

l I 1

I

I I i 1 i

I

ii L Iii

A I

II I i r- shy~ I

i-~

~I~ I I

II

-30 02 04 06 08 10 12 14 16

Radius (m)

PHC 5 ltlgta30BOe JlBH)l(eHHe lleHTpaJIbHOH qaCTHlbl

Ha pHC 6 )laRa 3aBHCHMOCTb 3HeprHH QeHTpaJIhHoH qaCTHQhI OT PMHyca Ha pHc7 - qaCTOThl

CB06o)lHhIX KOJIe6aHHH

6

8

2 6gt (J)

~ c 0 4(J)

13 I C

gtshy0) I 2(J) C

UJ

o 02 08 10 12 14 16

-- f------L----04 06

I I

V

1

~

I

Radius (m)

PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca

125

120

115

N a (j 110

105

100

-- ~L--- ~~~ i-

~jyW~ ~

V Qz Qr

V I

I

I

02 04 06 08 10 12 14 16

Radius(m)

PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH

CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B

HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH

7

Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM

CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe

331 neHTp

Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT

3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K

pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO

aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh

-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro

aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM

npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh

TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa

S ~ E

-II

E E

-II

0 N E UJ

100

80

60

40

20

0

= 0 rnA

0 2 4 6 8

Energynucleon (MeVn)

PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB

)JIjI 1=0 MA H 1=20 MA

TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO

corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax

3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce

-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY

rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex

o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT

OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe

paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU

8

2 0

1 5 II)

c e Q)

5a Q)-01 0 0 shyQ) 0 E J 5Z

0 o 25 o 3 0 o 35 o 4 0 o 4 5

R a diu s (m )

f) c e s J Q) 0

4 0

0 020 0 E J Z

o o 2 5 030 035 040 o 45

Radius (m)

PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB

(a - 100 QaCTHI1 6 - 200 QaCTHu)

9

332 30Ra BblBOAa

Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH

Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro

3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B

rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX

pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20

060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha

pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY

o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa

rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy

pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H

CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe

pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe

nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO

COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT

COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX

rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce

YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO

(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO

o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro

3MHTTaHca

4 3aKJ1IOQeHHe

YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K

cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa

CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe

pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA

TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH

OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B

CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI

Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI

BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl

ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY

rrpH rrpOBeZleHHH pa6OTbI

10

10

30

30 40 50 X(cm)

PlIC 3 IIepBble TplI o6opoTa 100 qaCTlIlI npellCTaBJUHOIlllIX tPa30BbIH 06beM nyqKa paBHblu

aKcenTaHcy lIeHTPaJIbHOH 06JIaCTlI lIlIKJIOTpOHa

z (em)

250

Axial t~ajectory dturn= 01 D Q= 1 U=12S h=12 Fmi= -43 Fma= -23 f~ 4125

I I I

200 -----~------r----------

1 50 - - - shy ~ - - - - - -- - - - - - ~ - - - shy

100

50

00

-50

100

150

200

250 00

I I

50 100 150 200 250 300 350 400 450 500 T URN S

PlIC 4 AKCIHUlbHble TPaeKTOplIlI 100 qaCTlIlI npellCTaBJUHOIlllIX tPa3OBhIH 06beM llyqKa

paBHbIU aKcenTaHCY lIeHTpaJIbHOH o6JIacTlI lIlIKJIOTPOHa

5

33 3tjJljJeKmbl npocmpaHcm8eHHolo 3apRoa )1ml paCqeTOB HCnOJIb30BaJIC~ nporpaMMHblH KOMnJIeKc[4] B OCHOBe KOToporo JIe)l(HT

nporpaMMa NAJO [5] C03JlaHHM JlJI~ paCqeTOB JlHHaMHKH qaCTHQ B CeKTOpHblX

UHKJIOTpOHax GANIL B OCHOBe nporpaMMbl

HHTerpHpOBaHHe JlHltpltpepeHUHaJIbHbIX ypaBHeHHH MeTOJlOM PYHre-Kyrra (mar

HHTerpHpoBaHH~ 05deg)

YCKopeHHe - B npH6JIH)l(eHHH TOHKHX JIHH3 (nocTO~HHM CKOPOCTb H KoopJJHHaTa)

TOJIqKH B QeHTpe yCKop~IDIQeH IQeJIH HMeeTC~ B03MO)l(HOCTb pa3MeIQeHH~ flattopshy

pe30HaTopa

JJJI~ MOJJeJIHpOBaHH~ nyqKa HCnOJIb3yeTC~ 100+200 qaCTHQ

JleHCTBHe npocTpaHcTBeHHoro 3ap~JJa yqHTblBaeTC~ 8 pa3 Ha o6opoTe MCnOJIb3yeTC~ equivalent continuous method

fIporpaMMa JJonOJIHeHa nOJJnporpaMMaMH BbllmCJI~IDIQHMH H30xpOHHoe nOJIe no

MeTOJJY rOpJlOHa KOppeKTHpyIDIQHMH paCqeTHOe nOJIe BblqHCJI~IDIQHMH 6eTaTpoHHble

qaCTOTbI

1mI paCqeTOB HCnOJIb30BaJIOCb H30xpOHHoe nOJIe npeJJCTaBJIeHHOe B pa60Te[ 1] Ha60p meprHH npoHcxoJJHJI B TeqeHHe 20 060pOTOB B KaqeCTBe cTapTOBoro yrJIa 6bIJI B3~T

a3HMYT qgt = - 45deg Ha pHc5 ltpa3a UeHTpaJIbHOH qaCTHllbI nOKa3aHa B 3aBHCHMOCTH OT

paJlHyca

50

40

30

CL 20c C) Q) 10 ~ Q) Ul ro 0

J CL

-10

-20

~ 1

l I 1

I

I I i 1 i

I

ii L Iii

A I

II I i r- shy~ I

i-~

~I~ I I

II

-30 02 04 06 08 10 12 14 16

Radius (m)

PHC 5 ltlgta30BOe JlBH)l(eHHe lleHTpaJIbHOH qaCTHlbl

Ha pHC 6 )laRa 3aBHCHMOCTb 3HeprHH QeHTpaJIhHoH qaCTHQhI OT PMHyca Ha pHc7 - qaCTOThl

CB06o)lHhIX KOJIe6aHHH

6

8

2 6gt (J)

~ c 0 4(J)

13 I C

gtshy0) I 2(J) C

UJ

o 02 08 10 12 14 16

-- f------L----04 06

I I

V

1

~

I

Radius (m)

PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca

125

120

115

N a (j 110

105

100

-- ~L--- ~~~ i-

~jyW~ ~

V Qz Qr

V I

I

I

02 04 06 08 10 12 14 16

Radius(m)

PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH

CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B

HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH

7

Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM

CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe

331 neHTp

Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT

3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K

pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO

aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh

-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro

aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM

npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh

TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa

S ~ E

-II

E E

-II

0 N E UJ

100

80

60

40

20

0

= 0 rnA

0 2 4 6 8

Energynucleon (MeVn)

PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB

)JIjI 1=0 MA H 1=20 MA

TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO

corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax

3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce

-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY

rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex

o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT

OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe

paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU

8

2 0

1 5 II)

c e Q)

5a Q)-01 0 0 shyQ) 0 E J 5Z

0 o 25 o 3 0 o 35 o 4 0 o 4 5

R a diu s (m )

f) c e s J Q) 0

4 0

0 020 0 E J Z

o o 2 5 030 035 040 o 45

Radius (m)

PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB

(a - 100 QaCTHI1 6 - 200 QaCTHu)

9

332 30Ra BblBOAa

Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH

Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro

3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B

rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX

pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20

060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha

pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY

o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa

rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy

pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H

CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe

pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe

nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO

COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT

COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX

rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce

YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO

(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO

o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro

3MHTTaHca

4 3aKJ1IOQeHHe

YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K

cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa

CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe

pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA

TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH

OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B

CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI

Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI

BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl

ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY

rrpH rrpOBeZleHHH pa6OTbI

10

33 3tjJljJeKmbl npocmpaHcm8eHHolo 3apRoa )1ml paCqeTOB HCnOJIb30BaJIC~ nporpaMMHblH KOMnJIeKc[4] B OCHOBe KOToporo JIe)l(HT

nporpaMMa NAJO [5] C03JlaHHM JlJI~ paCqeTOB JlHHaMHKH qaCTHQ B CeKTOpHblX

UHKJIOTpOHax GANIL B OCHOBe nporpaMMbl

HHTerpHpOBaHHe JlHltpltpepeHUHaJIbHbIX ypaBHeHHH MeTOJlOM PYHre-Kyrra (mar

HHTerpHpoBaHH~ 05deg)

YCKopeHHe - B npH6JIH)l(eHHH TOHKHX JIHH3 (nocTO~HHM CKOPOCTb H KoopJJHHaTa)

TOJIqKH B QeHTpe yCKop~IDIQeH IQeJIH HMeeTC~ B03MO)l(HOCTb pa3MeIQeHH~ flattopshy

pe30HaTopa

JJJI~ MOJJeJIHpOBaHH~ nyqKa HCnOJIb3yeTC~ 100+200 qaCTHQ

JleHCTBHe npocTpaHcTBeHHoro 3ap~JJa yqHTblBaeTC~ 8 pa3 Ha o6opoTe MCnOJIb3yeTC~ equivalent continuous method

fIporpaMMa JJonOJIHeHa nOJJnporpaMMaMH BbllmCJI~IDIQHMH H30xpOHHoe nOJIe no

MeTOJJY rOpJlOHa KOppeKTHpyIDIQHMH paCqeTHOe nOJIe BblqHCJI~IDIQHMH 6eTaTpoHHble

qaCTOTbI

1mI paCqeTOB HCnOJIb30BaJIOCb H30xpOHHoe nOJIe npeJJCTaBJIeHHOe B pa60Te[ 1] Ha60p meprHH npoHcxoJJHJI B TeqeHHe 20 060pOTOB B KaqeCTBe cTapTOBoro yrJIa 6bIJI B3~T

a3HMYT qgt = - 45deg Ha pHc5 ltpa3a UeHTpaJIbHOH qaCTHllbI nOKa3aHa B 3aBHCHMOCTH OT

paJlHyca

50

40

30

CL 20c C) Q) 10 ~ Q) Ul ro 0

J CL

-10

-20

~ 1

l I 1

I

I I i 1 i

I

ii L Iii

A I

II I i r- shy~ I

i-~

~I~ I I

II

-30 02 04 06 08 10 12 14 16

Radius (m)

PHC 5 ltlgta30BOe JlBH)l(eHHe lleHTpaJIbHOH qaCTHlbl

Ha pHC 6 )laRa 3aBHCHMOCTb 3HeprHH QeHTpaJIhHoH qaCTHQhI OT PMHyca Ha pHc7 - qaCTOThl

CB06o)lHhIX KOJIe6aHHH

6

8

2 6gt (J)

~ c 0 4(J)

13 I C

gtshy0) I 2(J) C

UJ

o 02 08 10 12 14 16

-- f------L----04 06

I I

V

1

~

I

Radius (m)

PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca

125

120

115

N a (j 110

105

100

-- ~L--- ~~~ i-

~jyW~ ~

V Qz Qr

V I

I

I

02 04 06 08 10 12 14 16

Radius(m)

PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH

CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B

HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH

7

Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM

CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe

331 neHTp

Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT

3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K

pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO

aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh

-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro

aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM

npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh

TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa

S ~ E

-II

E E

-II

0 N E UJ

100

80

60

40

20

0

= 0 rnA

0 2 4 6 8

Energynucleon (MeVn)

PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB

)JIjI 1=0 MA H 1=20 MA

TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO

corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax

3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce

-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY

rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex

o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT

OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe

paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU

8

2 0

1 5 II)

c e Q)

5a Q)-01 0 0 shyQ) 0 E J 5Z

0 o 25 o 3 0 o 35 o 4 0 o 4 5

R a diu s (m )

f) c e s J Q) 0

4 0

0 020 0 E J Z

o o 2 5 030 035 040 o 45

Radius (m)

PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB

(a - 100 QaCTHI1 6 - 200 QaCTHu)

9

332 30Ra BblBOAa

Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH

Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro

3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B

rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX

pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20

060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha

pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY

o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa

rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy

pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H

CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe

pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe

nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO

COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT

COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX

rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce

YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO

(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO

o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro

3MHTTaHca

4 3aKJ1IOQeHHe

YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K

cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa

CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe

pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA

TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH

OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B

CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI

Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI

BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl

ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY

rrpH rrpOBeZleHHH pa6OTbI

10

8

2 6gt (J)

~ c 0 4(J)

13 I C

gtshy0) I 2(J) C

UJ

o 02 08 10 12 14 16

-- f------L----04 06

I I

V

1

~

I

Radius (m)

PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca

125

120

115

N a (j 110

105

100

-- ~L--- ~~~ i-

~jyW~ ~

V Qz Qr

V I

I

I

02 04 06 08 10 12 14 16

Radius(m)

PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH

CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B

HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH

7

Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM

CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe

331 neHTp

Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT

3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K

pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO

aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh

-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro

aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM

npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh

TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa

S ~ E

-II

E E

-II

0 N E UJ

100

80

60

40

20

0

= 0 rnA

0 2 4 6 8

Energynucleon (MeVn)

PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB

)JIjI 1=0 MA H 1=20 MA

TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO

corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax

3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce

-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY

rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex

o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT

OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe

paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU

8

2 0

1 5 II)

c e Q)

5a Q)-01 0 0 shyQ) 0 E J 5Z

0 o 25 o 3 0 o 35 o 4 0 o 4 5

R a diu s (m )

f) c e s J Q) 0

4 0

0 020 0 E J Z

o o 2 5 030 035 040 o 45

Radius (m)

PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB

(a - 100 QaCTHI1 6 - 200 QaCTHu)

9

332 30Ra BblBOAa

Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH

Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro

3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B

rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX

pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20

060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha

pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY

o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa

rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy

pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H

CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe

pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe

nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO

COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT

COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX

rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce

YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO

(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO

o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro

3MHTTaHca

4 3aKJ1IOQeHHe

YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K

cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa

CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe

pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA

TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH

OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B

CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI

Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI

BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl

ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY

rrpH rrpOBeZleHHH pa6OTbI

10

Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM

CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe

331 neHTp

Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT

3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K

pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO

aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh

-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro

aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM

npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh

TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa

S ~ E

-II

E E

-II

0 N E UJ

100

80

60

40

20

0

= 0 rnA

0 2 4 6 8

Energynucleon (MeVn)

PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB

)JIjI 1=0 MA H 1=20 MA

TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO

corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax

3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce

-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY

rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex

o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT

OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe

paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU

8

2 0

1 5 II)

c e Q)

5a Q)-01 0 0 shyQ) 0 E J 5Z

0 o 25 o 3 0 o 35 o 4 0 o 4 5

R a diu s (m )

f) c e s J Q) 0

4 0

0 020 0 E J Z

o o 2 5 030 035 040 o 45

Radius (m)

PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB

(a - 100 QaCTHI1 6 - 200 QaCTHu)

9

332 30Ra BblBOAa

Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH

Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro

3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B

rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX

pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20

060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha

pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY

o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa

rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy

pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H

CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe

pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe

nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO

COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT

COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX

rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce

YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO

(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO

o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro

3MHTTaHca

4 3aKJ1IOQeHHe

YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K

cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa

CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe

pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA

TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH

OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B

CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI

Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI

BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl

ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY

rrpH rrpOBeZleHHH pa6OTbI

10

2 0

1 5 II)

c e Q)

5a Q)-01 0 0 shyQ) 0 E J 5Z

0 o 25 o 3 0 o 35 o 4 0 o 4 5

R a diu s (m )

f) c e s J Q) 0

4 0

0 020 0 E J Z

o o 2 5 030 035 040 o 45

Radius (m)

PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB

(a - 100 QaCTHI1 6 - 200 QaCTHu)

9

332 30Ra BblBOAa

Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH

Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro

3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B

rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX

pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20

060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha

pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY

o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa

rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy

pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H

CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe

pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe

nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO

COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT

COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX

rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce

YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO

(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO

o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro

3MHTTaHca

4 3aKJ1IOQeHHe

YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K

cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa

CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe

pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA

TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH

OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B

CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI

Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI

BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl

ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY

rrpH rrpOBeZleHHH pa6OTbI

10

332 30Ra BblBOAa

Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH

Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro

3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B

rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX

pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20

060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha

pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY

o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa

rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy

pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H

CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe

pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe

nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO

COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT

COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX

rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce

YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO

(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO

o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro

3MHTTaHca

4 3aKJ1IOQeHHe

YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K

cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa

CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe

pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA

TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH

OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B

CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI

Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI

BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl

ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY

rrpH rrpOBeZleHHH pa6OTbI

10

8

Cl 6c 0 Q S (I)

a 0

0 4 Q0 E J Z

2

o 1 45 1 50 1 5 5 1 6 0 1 65

Radius (m)

8

Cl 6c 0 Q S

6 (I) 0

0 4 Q 0 E J Z

2

o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5

Radius (m)

PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB

npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)

11

= 1 0 rnA

6

CI) c e $ J ltU 0 4

a 0 shyltU 0 E J Z 2

o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5

R a d iu s (m )

8

1 4 1 5 1 6 Radius (m)

PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB

(a - npH I = 10 MA 6 - npH I 20 MA)

12

40

30

20 (j) (1) (1) ~

0gt 10 a (1)

~ (1) () 0 ro

J a -10

-20

03

40

30

20 (i) Q)

~ 0gt 10

f5 Q)

~ Q) en 0 ro

J a -10

-20

bull

04 05 06 07 08

Energynucleon(MeVn)

60 65 70 T5 80

Energynucleon (MeVn)

PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)

13

JIuTepaTypa

1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164

PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI

15 HOJl6pJl 2000 roAa

14

= 1 0 rnA

6

CI) c e $ J ltU 0 4

a 0 shyltU 0 E J Z 2

o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5

R a d iu s (m )

8

1 4 1 5 1 6 Radius (m)

PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB

(a - npH I = 10 MA 6 - npH I 20 MA)

12

40

30

20 (j) (1) (1) ~

0gt 10 a (1)

~ (1) () 0 ro

J a -10

-20

03

40

30

20 (i) Q)

~ 0gt 10

f5 Q)

~ Q) en 0 ro

J a -10

-20

bull

04 05 06 07 08

Energynucleon(MeVn)

60 65 70 T5 80

Energynucleon (MeVn)

PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)

13

JIuTepaTypa

1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164

PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI

15 HOJl6pJl 2000 roAa

14

40

30

20 (j) (1) (1) ~

0gt 10 a (1)

~ (1) () 0 ro

J a -10

-20

03

40

30

20 (i) Q)

~ 0gt 10

f5 Q)

~ Q) en 0 ro

J a -10

-20

bull

04 05 06 07 08

Energynucleon(MeVn)

60 65 70 T5 80

Energynucleon (MeVn)

PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)

13

JIuTepaTypa

1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164

PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI

15 HOJl6pJl 2000 roAa

14

JIuTepaTypa

1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164

PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI

15 HOJl6pJl 2000 roAa

14

V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1

npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~

IItUleKc KlfHnt Ha3BaHHe KHHrH

E3-97-213

u9-97-231

E24-97-263

ElO-97-272

U19-97-284

PI4-97-343

P2-97-401

E2-97-413

EI5-98-57

U13-98-66

El2-98-154

E314-98-168

E3-98-202

Ut 2-98-215

U -98-224

Pl-98-231

E2-98-254

U911-98-273

E1719-98-305

Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB

C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)

Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII

3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)

Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)

Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX

B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c

(Ha aHm 113)

Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH

H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c

(Ha PYCCKOM H aHm 113)

Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro

CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51

MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)

TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll

H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)

Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX

3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)

Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli

CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH

cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)

Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC

Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)

Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX

aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo

Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)

Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha

1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)

Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa

OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)

Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)

AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU

Jly6Ha 1998 330 c (ua PYCCKOM 113)

TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH

MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)

Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo

Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c

El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH

tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)

E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe

HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)

E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)

E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH

nonHraquo JIy6Ha 1998508 c (Ha aHm I3)

E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)

P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C

(Ha PYCCKOM I3)

E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C

(Ha aHm H3)

JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It

cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)

MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )

3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1

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Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)

The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA

The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR

Communication of the Joint Institute for Nuclear Research Dubna 2000