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Физика фундаментальных взаимодействий 2009. Пределы масс и острова стабильности сверхтяжелых ядер. Ю.Ц.Оганесян Лаборатория ядерных реакций им. Г.Н. Флерова Объединенный институт ядерных исследований. Сессия-конференция секции ядерной физики ОФН РАН 23-27 ноября, 2009г., ИТЭФ, Москва. - PowerPoint PPT Presentation
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Ю.Ц.Оганесян
Лаборатория ядерных реакций им. Г.Н. ФлероваОбъединенный институт ядерных исследований
Пределы масс и острова стабильности сверхтяжелых ядер
Физика фундаментальных взаимодействий 2009
Сессия-конференция секции ядерной физики ОФН РАН 23-27 ноября, 2009г., ИТЭФ, Москва
110
120
100
90
80
70170
neutron number
pro
ton
nu
mb
er
180 190110 120 130 140 150 160
92U / Tα = 4.5·109 y
Chart of nuclidesChart of nuclides
82Pb / stable
Bi
Th
102No / Tα ≈ 2 s
about 50 years ago…
Macroscopic theory (Liquid Drop Model)
Spontaneous fission
TSF = 2·10-7 y
TSF = 1016 y
TSF < 10-14 s
0.70 0.75 0.80 0.85Fissility param eter x Fissility param eter x
Fis
sio
n B
arri
er H
eig
ht
B
/ M
eVf
0.900.800.700.600
5
10
15
20
25
30
3035
LDM
neutron capture
20
10
0
-10
-20
Lo
gT
/ s
SF
0.90 0.95
Spontaneous FissionSpontaneous Fission Macroscopic theory (Liquid Drop Model)
238U 255Fm
208Pb
6.0 MeV SF-isom ers
fusion w ith heavy ions
Exp.
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
110
120
100
90
80
70170
neutron number
pro
ton
nu
mb
er
180 190110 120 130 140 150 160
Chart of nuclidesChart of nuclides
184
114
sphericalshells
152
100
deformedshells
162
108
deformedshells
sphericalshells
126
Pb
X
8282
Nuclear shells (macro-microscopic approach)
0 .900 .800 .70
E xp.
LDM
F iss ility P a ram ete r x
0
5
10
15
238U
255Fm
114 116
Fis
sion
Ba
rrie
r H
eig
ht
Bf /
Me
V
Fission Barriers
20
10
0
-10
-20
0 .70 0 .75 0 .80 0 .85 0 .90 0 .95
Lo
gT /
sS
FLDM
F iss ility P aram ete r x
114Z=112116
…and Half - Lives
R. Smolańczuk, Phys. Rev. C 56 (1997) 812
Predictions of the microscopic theoryPredictions of the microscopic theory
Island of Stability
shoal
peninsula
continent
New landsNew lands
Neutron number
Pro
ton
nu
mb
er
100 110 120 130 140 150 160 170 180 190
120
110
100
90
80
70
Island of Stability
Shoal
New landsNew lands Microscopic theory
Peninsula
Continent
Sea of Instability
about 40 years ago…
-5 0 5 10 15 LogT1/2 s
1µs 1s 1h 1y 1My
Reaction of Synthesis
108
162
114
90
142126 146 184
Th U NW N N E
SW
W
Pb
Pu
peninsula
continent
shoal of deform ed
nuclei
island of stability
of superheavy nuclei
neutron num ber
pro
ton
nu
mb
er
Reactions of synthesis
Light ions
Neutron capture
Cold fusion
target from
“continent”
Act.+48Ca
target from“peninsula”
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
-2-2
-3
-3
-6
-6
-5
-5
-7
-4
-4
-4
-14
120 130 160140 170150 180
80
90
100
110
120
190
SHE
Pbneutrons →
Cold fusionCold fusion
Act.+48CaAct.+48Ca
pro
ton
s
→
Reactions of SynthesisReactions of Synthesis
U
P b B i
T h
Neutron captureNeutron capture
Hotfusion
Hotfusion
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
No
Rf
22Ne26Mg34S (5n)
Db
Sg
Hs
Bh
Ds
1 0 -30
1 0-32
1 0-34
1 0-36
1 0-38
4n
-cro
ss s
ect
ion
(c
m)
2
Projectiles
48Ca
112
112
114
116
140 150
152 162
180160 190170Neutron number
184
σxn ~ (Γn / Γf)x;
х – number of evaporated neutrons
(Γn / Γf) ~ exp [(Bf – Bn)]
Bf = BfLD + ΔEShell
0
Cross sectionsCross sections
Ex=40-50 MeV
Yu. Oganessian et al. Phys. Rev.
90
100
110
120
1 2 3 4 5 6 7 8
120 130 140 150 160 170 180 190Neutron num ber N
Calculated Barriers Heights (M eV)
P. Moller et al., Phys. Rev., C79, 064304 (2009)
Bf (MeV)
Pro
ton
num
ber
Z
Act + 48Ca
208Pb
298114
spherical
deformed
deformed
spherical
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
Act. + 48Ca
Targets: thickness (mg/cm2)
Isotopeenrichment (%)
233U 0.44 99.97
238U 0.35 99.3
237Np 0.35 99.3
242Pu 0.40 99.98Chemistry 1.4 99.98
244Pu 0.38 98.6
243Am 0.36 99.9Chemistry 1.2 99.9
245Cm 0.35 98.7
248Cm 0.35 97.4
249Cf 0.34 97.3
Projectiles 48Ca
Energy: 235-250 MeV
Intensity: 1.0-1.2 pμA
Consumption: 0.5 mg/h
Beam dose: (0.3-3.0)∙1019
Reactions of SynthesisReactions of Synthesis
249Bk 0.35 ≥ 90
Dubna Gas Filled Recoil Separator
Measured parameters:
For recoils:
energy TOFpositions
For decayproduct:
energy timepositions
Experimental SetupExperimental Setup
position sensitivestrip detectors
“veto” detectors
TOF-detectors
SH-recoilside
detectors
Total detection efficiency: for α-particles…………..83% for SF-fragment…….~ 100% for both fragments……..42%
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
108
275
5.4s
9 30. M eV
8. 4 M eV 5
9.70 M eV
0.26 s 5
9.52 M eV
SF10%
4110
279
106
271
3
2
0.42 s
48 s
SF>90%
114287
10.01 M eV
0.54s
3n
112283
3n 238 48U + C a,
11 2
283
116291
3n 246 48C m + C a,
1242Pu +48Ca, 3n
104
267
228 M eV 381 s
S F
6
Yu. Oganessian J. Phys. G. 34 (2007) R165
strip number
posi
tion
252No
20
30
40
10
0-3 -2 -1 0 1 2 3
0.65 m m
Position deviation (mm)
Co
un
ts /
0.1
mm
Detector
area ~5000 mm2
Pixel: 6.5 mm2
279110
8.0 9.0 10.0 11.0 12.0
283112
283112
275108
9.0
E
10.0 11.0 12.0
287114
286114
Alpha particle energy (MeV)
242Pu(48Ca; 3n, 4n)287,286114
287114
283112
291116
286114
290116
245Cm(48Ca; 2n, 3n)291,290114
271106
238U(48Ca; 3n, 4n)283,282112
294118
249Cf(48Ca; 3n),294114
even-oddeven-even
Alpha-particle spectra of SH-nucleiAlpha-particle spectra of SH-nuclei
10
50
0.1
0.5 C
ross
se
ctio
ns
/ 3 M
eV (
rela
tive
units
)
1
5
3n2n
3n
2n
4n5n
4n
5n
30 3525Excitation energy (MeV)
40 45 50 55
xn-channel cross sectionsfrom 242,244Pu+48Ca reactions
the maximum cross sections for evaporation residues are observed at the excitation energy ~ 40 MeV (hot fusion).
Excitation functionsExcitation functions
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
249 48Cf + Ca2n 3n
1
2
3 ev. 11 ev. 116
290
10.15 M eV
206 MeV, 1.5+1.0
-0.4 m s
0.17 +0.09-0.04 s
9 . 7 m s+6.4-2.826 m s+32
-9
10.84 M eV 10.74 M eV
114
108
106
287
275
271
10.03 M eV
1.1 s+1.3-0.4
9.70 M eV
5
6
9.55 M eV
7.0 s+8.3-2.5
4110
279
112
104
283
267
245 48Cm + Ca
3
0.42 s
0.55 s+0.76-0.19
91 .1 s
240 MeV
21 m in SF
1116
291
8.84+_0.36
9.56 +_0.34 M eV
2
SF SF~50%
112282
114286
3n
3 ev.
116
118
290
294
10.16 M eV
202 M eV
0.22 +0.26-0.08 s
0.9 m s+ .-0.
1 03
14 m s+17- 5
1.3 m s+1.5-0.5
10.82 M eV
11.65 M eV
1
1
3
SF
112
282
286
114
Yu. Oganessian et al., Phys. Rev C 74, (2006) 044602
Synthesis of Element 118Synthesis of Element 118
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
244Pu, 248Cm
113/282
10.63
73 ms
111/2 87
10.69
4.2 ms
109/2 47
9.76
0.45 s
107/2 07
105/266
104/268
0.37 h
8.93
1 min
237Np
115/287
10.59
3 ms2
113/283
10.12
0. s1
111/279
10.37
0.17 s
109/2 57
10.33
9.7 ms
107/2 17
105/267
1.2 h
109/276
9.71
0.72 s
107/272
9.02
9.8 s
113/284
10.00
0.48 s
115/288
10.46
87 ms
105/268
1.2 d
111/280
9.75
3 6. s
104/268
243Am242Pu, 245Cm
249Cf
DecaychainsDecaychains
36 nuclides
89 decay chains
was registered
Db270
117 117
115115
113113
111111
109
107
294
290289
286285
282
278
274
281
293
249Bk(320d)+48Ca
FLNR-ORNL-LLNLcollaboration
22 mg of 249Bk have been produced at Oak Ridge National Laboratory by intense neutron irradiation for 250 days in the High Flux Isotope Reactor
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
June 2009
1
2 114288
9.94+_0.06 M eV
0.8 s+0.3-0.2
TKE 228 +_ 7 M eV
SF>90%
0.1 s+0.03-0.02
112
284
116
292
10.02 +_ 0.06 M eV2
0.5 s+0.2-0.1
9.54+_ 0.06 M eV
TKE 225 +_ 7 M eVSF>90%
3.8 s+1.2-0.7
0.2 s+0.05-0.04
110
279
112
283
3
1
114287
116
291Dubna 2002-2004DGFRS
ConfirmationConfirmation
16 evens 18 evens2 114
288
9.9+_ 0.1 M eV
SF0.1 s
112
28410.04 MeV
2
9.49+_ 0.12 M eV
TKE ~ 220
>3 s
0.21 s+0.3-0.1
110
279
112
283
3
114287
R. Eichler et al., Nature 447 (2007) 72
FLNR / PSI
5 events
3 events
Dubna 2006-2007
Reaction:
242,244Pu + 48Ca - 287,288114 + 3,4n
CHEMISTRY
9.52+_ 0.02 M eV
6.9 s+6.9-2.3
0.18 s+0.32-0.07
TKE 210 M eV+32-11
110
279
112
283
3
S. Hofmann et al., Eur. Phys. J. A32 (2007) 251
Darm stadt 2007GSI SHIP
Reaction:
U + Ca - 112 +3n238 48 283
4 events
22 events
Decay Properties
12.0
11 .0
10 .0
110
112
Z -even
T heory :
114
116
118
108
106
9.0
8.0
7.0260 270 280 2 09 300
A tom ic m ass num ber
Alp
ha d
eca
y en
erg
y (M
eV)
Z -even
E xp:
-6
-8
-4
-2
0
2
4
6
8
10
12
14
16
18
Z=112
112
114110
Rf
No
Cf
N=152
N 6=1 2
N 5=1 2N 84=1
Fm
140 145 150 155 160 165 170 175 180 185
N eu tron num ber
Log
T
(s)
SF
Exp.
Th.
H sD s112114
S gR fC f-N o
108
Spontaneous fission half-livesSpontaneous fission half-lives
Actinides
Trans-actinides Superheavy nuclei
155
Neutron num ber
Hal
f-lif
e,
T
(s)
160 165 170 175
118
116
114
112
112
113
113
112
112
110
110
111
111115
1801 0 -6
1 0 -4
1 0 -2
1 0 -4
1 0 0
1 0 2
sf
sf
sf
sf
Half lives of nuclei with Z ≥ 110
Half lives of nuclei with Z ≥ 110
Act. + 48Ca
N=162
available for chemical studies
With Z >40% larger than that of Bi, the heaviest stable element, that is an impressive extension in nuclear survival.
Although the SHN are at the limits of Coulomb stability, shell stabilization lowers: the ground-state energy, creates a fission barrier, and thereby enables the SHN to exist.
The fundamentals of the modern theory concerning the mass limits of nuclear matter have obtained experimental verification
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
neutrons →
pro
ton
s
→
-2-2
-3
-3
-6
-5
-5
-7
-4
-4
-4
-14
120 130 160140 170150 180
80
90
100
110
120
190
SHE
U
P b B i
T h
Search for SHE in Nature
Atomic structure and chemical properties
of the SHENuclear structure
and decay propertiesof the SHN
Search fornew shells
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
Chemical properties
7s
6s
5s
5d
4d4s3s2s
5fr max
rel /r
max
non-
rel
4f
Relativistic Contraction
non-
relativistic
7s
6s
5s
5d
4d4s3s2s
5f
4f
0,80
0,75
0,85
0,90
0,95
1,00
1,05
7s
6s
5s
6p5p4p
5d
4d
3p
4s3s2s
5f
0 20 40 60 80 100 120Z
1s 2p3d
4f
rm ax : principal maximum of the wave function of the outermost orbital
J.P. Desclaux, At. Data Nucl. Data Tables 12 , 311 (1973)J.P. Desclaux, At. Data . Data Tables 12 , 311 (1973)J.P. Desclaux, At. Data . Data Tables 12 , 311 (1973)
-
relativistic
SHE
112114
Atomic propertiesAtomic properties
HgPb
~ Z2
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
H
1
Li
3
Be
4
Na
11
M g
12
K
19
Ca
20
Sc
21
104
Ti
22
V
23
Cr
24
M n
25
Fe
26
Co
27
Ni
28
Cu
29
Zn
30
1
2
3 4 6 7 8 9 10 11 12
13 14 15 16 17
18
1
2
3
4
5
6
He
B
Al Si P S
ONC F
Cl Ar
Ne
7105 106 107 108 109 110 111 112 113 115114 116 117 118
72 74 75 76 77 78 79 80 81 82 83 84 85 8655 56
87 88
37 38 39 40 42 43 44 45 46 47 48 49 50 51 52 53 54
31 32 33 34 35 36
Rf Db Sg Bh Hs M t
Rb Sr Y Zr M oNb Tc Ru Rh Pd Ag Cd In Sn Sb Tc I Xe
Cs Ba Hf WTa Re O s Ir Pt Au Hg Ti Pb Bi Po At Rn
Fr Ra
G a G e As Se Br Kr
Da
rms-
tad
tiu
mDs Rg
ChemicalpropertiesChemicalproperties
82
Pb
50
Sn
14
1121 10
Ds
Ch
emic
al is
ola
tio
n
80
Hg
4 8
C d
12
114
Ca
20
Pu
94
86
Rn
relativisticrelativistic
Reaction:
242Pu(48Ca,3n)287114[0.5s]→α→283112[3.6s]
Compound Hg(Au)
and 112(Au)
Compound Hg(Au)
and 112(Au)
R. Eichler et al., Nature 447 (2007) 72
Au
SiO2
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
4 81
50
50
-50
-50
0
0
-100
-100
-150
-150
-200
-20012
Rn
RnHg
Hg
RnHg
Detector num ber
Tem
per
atu
re
C 0
Tem
pe
ratu
re
C 0
16 20 24 28 32
4 81 12Detector num ber16 20 24 28 32
0
10
20
30
40
50
Re
lati
ve
yie
ld %
0
10
20
30
40
50
Rel
ati
ve
yie
ld %
Gold Ice
Gold Ice
4 81
50
-50
0
-100
-150
-20012
RnHg
Detector num ber
Tem
per
atu
re
C 0
16 20 24 28 320
10
20
30
40
50
Rel
ati
ve y
ield
% Ice
He/Ar + + Hg Rngas flow 0.86 l/m in
gas flow 0.89 l/m in
gas flow 1.5 l/min
on ice!
on goldon gold
on goldon gold
on goldon goldon goldon gold
112
112
112
Element 112 is a noble metal – like Hg
room temperature
Reaction:
242Pu(48Ca,3n)287114[0.5s]
Compound Pb(Au) and 114(Au)
Compound
1
2
114
112
287
283 10.02 MeV 0.5 s
9.54 MeV 3.8 s
0.2 s TKE=225MeVSF
110281
1
2
114
112
287
283 10.04 MeV
9.53 MeV 10.9 s
0.24 s TKE= 220MeVSF
110281
Ю.Ц. Оганесян «Пределы масс атомных ядер» 27 ноября 2009г. ИТЭФ, Москва
more and more inert?
H
1
Li
3
Be
4
Na
11
M g
12
K
19
Ca
20
Sc
21
104
Ti
22
V
23
Cr
24
M n
25
Fe
26
Co
27
Ni
28
Cu
29
Zn
30
1
2
3 4 6 7 8 9 10 11 12
13 14 15 16 17
18
1
2
3
4
5
6
He
B
Al Si P S
ONC F
Cl Ar
Ne
7105 106 107 108 109 110 111 112 113 115114 116 117 118
72 74 75 76 77 78 79 80 81 82 83 84 85 8655 56
87 88
37 38 39 40 42 43 44 45 46 47 48 49 50 51 52 53 54
31 32 33 34 35 36
Rf Db Sg Bh Hs M t
Rb Sr Y Zr M oNb Tc Ru Rh Pd Ag Cd In Sn Sb Tc I Xe
Cs Ba Hf WTa Re O s Ir Pt Au Hg Ti Pb Bi Po At Rn
Fr Ra
G a G e As Se Br Kr
Dar
ms-
tad
tiu
m
Ds Rg
5
73
41
?
Periodic Table of ElementsPeriodic Table of Elements
114 115
Yu.Oganessian. Perspectives of JINR – ORNL Collaboration in the studies of SHE. JINR Scientific Council, Sept 24-25. 2009, Dubna
184
evidence of enhancedstability of SH nucleievidence of enhancedstability of SH nuclei
152
162
neutron shellsof SH-nucleineutron shellsof SH-nuclei
82
10 5
126
coldfusion
coldfusion
hotfusionhotfusionhotfusionhotfusion
chemistry ofTA-elementschemistry ofTA-elements
SF-isomersSF-isomers
fissionmodesfissionmodes
“relativistic effect” in SH - atoms“relativistic effect” in SH - atoms
search for SHEin Nature
search for SHEin Nature
Progress in HE-researchProgress in HE-research
neutrons
prot
ons
Спасибо за внимание к моему сообщению
Log
T (
sec.
)α
150 160 170 180 190140
5
15
10
20
0
-5
-10 116
118
112
114
110
108
108
N eutron num ber
α - decay
Deform edShell
SphericalShell
A g e o f th e E a rthsearch
in na turesearch in thecosm ic rays
108 y
105 y
1 y
1 d β -s tab lenucle i
Search for SHEIn NatureSearch for SHEIn Nature
50
60
70
80
90
100
110
120
120100 1 04
neutron drip line
proton drip line
1 06
neutron num ber
pro
ton
nu
mb
er
1 08 200
126
A =195
105
82
50
ThU
Pu
Pb
Hs
184
A =278
waitingpoint
β-β-
β-
waitingpoint
90
140 160 180 200 220
100
110
Z
N
120 B < 2.5 MeVf
B > 6.5 MeVf
2.5 M eV < B < 4.5 M eVf4.5 M eV < B < 6.5 M eVf
4 3
3
2
2
1
1
A. Mamdouh et al.,Nucl. Phys. A679 (2001) 337
Extended Thomas-Fermi plus Strutinsky integral method
Calculated fission barrier heightsCalculated fission barrier heights
-2 -3
-4
-4α-decay
β--decayEC
SF
Z=108
Cyclamen1966
5 .0
4 .0
3 .0
2 .0
230220 240 250
268 Db
260 270 280 290 300
U
Pu
Cm
Bk
M ass num ber A
Ave
rage
nu
mb
er
of
neu
tro
ns p
er f
issi
on
Cf Fm
symm .fission
asymm .fission
No
1 .0
6 .0
E xp.7 .0
286 Hs282 Sg symm .
fission
asymm .fissionC a lc.
the counting rate 1 decay / year from a 1000-g metallic Os samplecorresponds to the ratio Hs/Os:
~ 7·10-16 g/g
or ~ 10-23 g/g
in the Earth's crustor in the meteorit’smatter
Assuming for the SH-nuclide TSF = 109 years
Fréjus peakFréjus peak
ModaneModane
Os-sample550 g. (metallic)
3He - counters
in comparison with previous attempts
the sensitivity is increased by a factor ~ 109
Yu. Oganessian “Heaviest Nuclei” Int. Conf. Nuclear Structure & Dynamics. May 4-8, 2009, Dubrovnik, Croatia
150 160 170 180 190
Z = 108
140N eu tron num ber
LogT
(ye
ars
)1
/2
-15
10
-5
-10
5
0
Age of the Earth4.56 .10 y9
SFSF
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