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QCD Matter: A Search for a Mixed Quark-Hadron Phase. A.N.Sissakian, A.S.Sorin, V.D.Toneev. XXXIII INTERNATIONAL CONFERENCE ON HIGH ENERGY PHYSICS ICHEP'06 Moscow, 26.07- 02.08, 2006. Classification of phase transitions. The n th order phase transition:. is discontinuous. - PowerPoint PPT Presentation
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QCD Matter A Search for a Mixed Quark-Hadron Phase
XXXIII INTERNATIONAL CONFERENCE ON HIGH ENERGY PHYSICSICHEP06 Moscow 2607- 0208 2006
ANSissakian ASSorin VDToneev
Classification of phase transitions
The nth order phase transition
)( 21 n
i
xxxFxn
n
is discontinuous
xk - thermodynamic variables
F - thermodynamic potential
Discontinuty of A = AII λ + AII (1 - λ) originates from discontinuty of λ = VII V
A mixed phase in different representations
λ=0
λ=1
λ=0
λ=1
0ltλlt1
Critical end-point =gt critical end-line =gt critical end-boundary hypersurface
ASKhvorostukhinANSissakian VVSkokov ASSorin VDToneev
(to be published)
0ltλlt1
λ=1
λ=0λ=0
λ=1
T T
μ=const μ=const
For central collisions at the Nuclotron energy even if an average state of the whole strongly interacting system does not approach the mixed phase an essential part of the system volume will spend a certain time in the mixed phase
PHASE DIAGRAMS
YBIvanov VNRusskikhVDToneev Phys Rev C73 044904 (2006)
Systems with two conserving charges
EoS relativistic mean field + bag model
T=0
ZA=ρQρB
x=(ρQ - ρB)(2ρB)x=ZA-05
Hadronic side of the phase boundary decreases with increasing isospin asymmetry This effect is strongly model dependent
HMueller Nucl Phys A618 349 (1997)
ASKhvorostukhin et al(to be published)
M Di Toro et al nucl-th0602052
Semi-central U+U (1 AGeV) collision
A rather exotic nuclear matter is formed in a transient time of the order of 10 fmc having the baryon density around 3ρ0 the temperature 50-60 MeV the energy density 500 MeV fm-3 and the proton fraction ZA between 035 and 040
M Di Toro et al nucl-th0602052
ρBT
ε ZA
ρB
PRESSURE-DENSITY DEPENDENCE FOR TWO CONSERVING CHARGES
HMueller Nucl Phys A618 349 (1997)
For iso-asymmetric systems (xlt0) the pressure changes during the first-order phase transition increasing with the baryon density Theregion of the mixed phase is getting larger
ENTROPY-TEMPERATURE DEPENDENCE
HMueller Nucl Phys A618 349 (1997)
Transition remains the first-order phase transition in the iso-asymmetric matter
ASKhvorostukhin et al(to be published)
μB=1300 MeVμS=300 MeVμQ =-100 MeV
M Di Toro et al nucl-th0602052
Finite size effects (Coulomb surface tension)
A strong dependence of the transition boundary on ZA survives
Without finite size effect
With finite size effect
Chiku and Hatsuda PRD58 (lsquo98)Hatsuda Kunihiro and Shimizu PRL82 (rsquo99)
MVolkov EKuraev DBlaschke GRumlopke SSchmidt PLB(1998)
Signals and precursors
Observation of new resonance structure in the invariant mass spectrum of two γ-quanta in dC-interactions at momentum 275 GeVc per nucleon
Invariant mass distribution of pairs of γ-quanta in the d + C rarr γ + γ + х reaction after subtraction of the event-mixing background The signals-to-background ratios for the invariant mass intervals 300 divide 420 MeV and 480 divide 600 MeV (η) are 2710-2-2 and 89middot10-2 -2 ((40plusmn14)10-3-3 and 32middot10-2 -2 without the background suppression)
The η-mesonMη = 5405plusmn21 MeV
Wresolution= 672plusmn40 MeV statistics 5200 events of
15middot106 triggered interactions of a total
number 3middot1012 dC-interactions
KhU Abraamyan AN Sissakian AS Sorin nucl-ex0607027
New resonance M = 355plusmn6plusmn9 MeV Г = 41plusmn12 MeV σ ~ 06 μb (prelim)statistics 2680plusmn310 events of 15middot106 triggered interactions of a total number 3middot1012 dC-interactions
200 400 600 800
0
500
1000
1500
2000
Co
un
ts (
30 M
eV
)
M [MeV]
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
Classification of phase transitions
The nth order phase transition
)( 21 n
i
xxxFxn
n
is discontinuous
xk - thermodynamic variables
F - thermodynamic potential
Discontinuty of A = AII λ + AII (1 - λ) originates from discontinuty of λ = VII V
A mixed phase in different representations
λ=0
λ=1
λ=0
λ=1
0ltλlt1
Critical end-point =gt critical end-line =gt critical end-boundary hypersurface
ASKhvorostukhinANSissakian VVSkokov ASSorin VDToneev
(to be published)
0ltλlt1
λ=1
λ=0λ=0
λ=1
T T
μ=const μ=const
For central collisions at the Nuclotron energy even if an average state of the whole strongly interacting system does not approach the mixed phase an essential part of the system volume will spend a certain time in the mixed phase
PHASE DIAGRAMS
YBIvanov VNRusskikhVDToneev Phys Rev C73 044904 (2006)
Systems with two conserving charges
EoS relativistic mean field + bag model
T=0
ZA=ρQρB
x=(ρQ - ρB)(2ρB)x=ZA-05
Hadronic side of the phase boundary decreases with increasing isospin asymmetry This effect is strongly model dependent
HMueller Nucl Phys A618 349 (1997)
ASKhvorostukhin et al(to be published)
M Di Toro et al nucl-th0602052
Semi-central U+U (1 AGeV) collision
A rather exotic nuclear matter is formed in a transient time of the order of 10 fmc having the baryon density around 3ρ0 the temperature 50-60 MeV the energy density 500 MeV fm-3 and the proton fraction ZA between 035 and 040
M Di Toro et al nucl-th0602052
ρBT
ε ZA
ρB
PRESSURE-DENSITY DEPENDENCE FOR TWO CONSERVING CHARGES
HMueller Nucl Phys A618 349 (1997)
For iso-asymmetric systems (xlt0) the pressure changes during the first-order phase transition increasing with the baryon density Theregion of the mixed phase is getting larger
ENTROPY-TEMPERATURE DEPENDENCE
HMueller Nucl Phys A618 349 (1997)
Transition remains the first-order phase transition in the iso-asymmetric matter
ASKhvorostukhin et al(to be published)
μB=1300 MeVμS=300 MeVμQ =-100 MeV
M Di Toro et al nucl-th0602052
Finite size effects (Coulomb surface tension)
A strong dependence of the transition boundary on ZA survives
Without finite size effect
With finite size effect
Chiku and Hatsuda PRD58 (lsquo98)Hatsuda Kunihiro and Shimizu PRL82 (rsquo99)
MVolkov EKuraev DBlaschke GRumlopke SSchmidt PLB(1998)
Signals and precursors
Observation of new resonance structure in the invariant mass spectrum of two γ-quanta in dC-interactions at momentum 275 GeVc per nucleon
Invariant mass distribution of pairs of γ-quanta in the d + C rarr γ + γ + х reaction after subtraction of the event-mixing background The signals-to-background ratios for the invariant mass intervals 300 divide 420 MeV and 480 divide 600 MeV (η) are 2710-2-2 and 89middot10-2 -2 ((40plusmn14)10-3-3 and 32middot10-2 -2 without the background suppression)
The η-mesonMη = 5405plusmn21 MeV
Wresolution= 672plusmn40 MeV statistics 5200 events of
15middot106 triggered interactions of a total
number 3middot1012 dC-interactions
KhU Abraamyan AN Sissakian AS Sorin nucl-ex0607027
New resonance M = 355plusmn6plusmn9 MeV Г = 41plusmn12 MeV σ ~ 06 μb (prelim)statistics 2680plusmn310 events of 15middot106 triggered interactions of a total number 3middot1012 dC-interactions
200 400 600 800
0
500
1000
1500
2000
Co
un
ts (
30 M
eV
)
M [MeV]
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
Discontinuty of A = AII λ + AII (1 - λ) originates from discontinuty of λ = VII V
A mixed phase in different representations
λ=0
λ=1
λ=0
λ=1
0ltλlt1
Critical end-point =gt critical end-line =gt critical end-boundary hypersurface
ASKhvorostukhinANSissakian VVSkokov ASSorin VDToneev
(to be published)
0ltλlt1
λ=1
λ=0λ=0
λ=1
T T
μ=const μ=const
For central collisions at the Nuclotron energy even if an average state of the whole strongly interacting system does not approach the mixed phase an essential part of the system volume will spend a certain time in the mixed phase
PHASE DIAGRAMS
YBIvanov VNRusskikhVDToneev Phys Rev C73 044904 (2006)
Systems with two conserving charges
EoS relativistic mean field + bag model
T=0
ZA=ρQρB
x=(ρQ - ρB)(2ρB)x=ZA-05
Hadronic side of the phase boundary decreases with increasing isospin asymmetry This effect is strongly model dependent
HMueller Nucl Phys A618 349 (1997)
ASKhvorostukhin et al(to be published)
M Di Toro et al nucl-th0602052
Semi-central U+U (1 AGeV) collision
A rather exotic nuclear matter is formed in a transient time of the order of 10 fmc having the baryon density around 3ρ0 the temperature 50-60 MeV the energy density 500 MeV fm-3 and the proton fraction ZA between 035 and 040
M Di Toro et al nucl-th0602052
ρBT
ε ZA
ρB
PRESSURE-DENSITY DEPENDENCE FOR TWO CONSERVING CHARGES
HMueller Nucl Phys A618 349 (1997)
For iso-asymmetric systems (xlt0) the pressure changes during the first-order phase transition increasing with the baryon density Theregion of the mixed phase is getting larger
ENTROPY-TEMPERATURE DEPENDENCE
HMueller Nucl Phys A618 349 (1997)
Transition remains the first-order phase transition in the iso-asymmetric matter
ASKhvorostukhin et al(to be published)
μB=1300 MeVμS=300 MeVμQ =-100 MeV
M Di Toro et al nucl-th0602052
Finite size effects (Coulomb surface tension)
A strong dependence of the transition boundary on ZA survives
Without finite size effect
With finite size effect
Chiku and Hatsuda PRD58 (lsquo98)Hatsuda Kunihiro and Shimizu PRL82 (rsquo99)
MVolkov EKuraev DBlaschke GRumlopke SSchmidt PLB(1998)
Signals and precursors
Observation of new resonance structure in the invariant mass spectrum of two γ-quanta in dC-interactions at momentum 275 GeVc per nucleon
Invariant mass distribution of pairs of γ-quanta in the d + C rarr γ + γ + х reaction after subtraction of the event-mixing background The signals-to-background ratios for the invariant mass intervals 300 divide 420 MeV and 480 divide 600 MeV (η) are 2710-2-2 and 89middot10-2 -2 ((40plusmn14)10-3-3 and 32middot10-2 -2 without the background suppression)
The η-mesonMη = 5405plusmn21 MeV
Wresolution= 672plusmn40 MeV statistics 5200 events of
15middot106 triggered interactions of a total
number 3middot1012 dC-interactions
KhU Abraamyan AN Sissakian AS Sorin nucl-ex0607027
New resonance M = 355plusmn6plusmn9 MeV Г = 41plusmn12 MeV σ ~ 06 μb (prelim)statistics 2680plusmn310 events of 15middot106 triggered interactions of a total number 3middot1012 dC-interactions
200 400 600 800
0
500
1000
1500
2000
Co
un
ts (
30 M
eV
)
M [MeV]
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
For central collisions at the Nuclotron energy even if an average state of the whole strongly interacting system does not approach the mixed phase an essential part of the system volume will spend a certain time in the mixed phase
PHASE DIAGRAMS
YBIvanov VNRusskikhVDToneev Phys Rev C73 044904 (2006)
Systems with two conserving charges
EoS relativistic mean field + bag model
T=0
ZA=ρQρB
x=(ρQ - ρB)(2ρB)x=ZA-05
Hadronic side of the phase boundary decreases with increasing isospin asymmetry This effect is strongly model dependent
HMueller Nucl Phys A618 349 (1997)
ASKhvorostukhin et al(to be published)
M Di Toro et al nucl-th0602052
Semi-central U+U (1 AGeV) collision
A rather exotic nuclear matter is formed in a transient time of the order of 10 fmc having the baryon density around 3ρ0 the temperature 50-60 MeV the energy density 500 MeV fm-3 and the proton fraction ZA between 035 and 040
M Di Toro et al nucl-th0602052
ρBT
ε ZA
ρB
PRESSURE-DENSITY DEPENDENCE FOR TWO CONSERVING CHARGES
HMueller Nucl Phys A618 349 (1997)
For iso-asymmetric systems (xlt0) the pressure changes during the first-order phase transition increasing with the baryon density Theregion of the mixed phase is getting larger
ENTROPY-TEMPERATURE DEPENDENCE
HMueller Nucl Phys A618 349 (1997)
Transition remains the first-order phase transition in the iso-asymmetric matter
ASKhvorostukhin et al(to be published)
μB=1300 MeVμS=300 MeVμQ =-100 MeV
M Di Toro et al nucl-th0602052
Finite size effects (Coulomb surface tension)
A strong dependence of the transition boundary on ZA survives
Without finite size effect
With finite size effect
Chiku and Hatsuda PRD58 (lsquo98)Hatsuda Kunihiro and Shimizu PRL82 (rsquo99)
MVolkov EKuraev DBlaschke GRumlopke SSchmidt PLB(1998)
Signals and precursors
Observation of new resonance structure in the invariant mass spectrum of two γ-quanta in dC-interactions at momentum 275 GeVc per nucleon
Invariant mass distribution of pairs of γ-quanta in the d + C rarr γ + γ + х reaction after subtraction of the event-mixing background The signals-to-background ratios for the invariant mass intervals 300 divide 420 MeV and 480 divide 600 MeV (η) are 2710-2-2 and 89middot10-2 -2 ((40plusmn14)10-3-3 and 32middot10-2 -2 without the background suppression)
The η-mesonMη = 5405plusmn21 MeV
Wresolution= 672plusmn40 MeV statistics 5200 events of
15middot106 triggered interactions of a total
number 3middot1012 dC-interactions
KhU Abraamyan AN Sissakian AS Sorin nucl-ex0607027
New resonance M = 355plusmn6plusmn9 MeV Г = 41plusmn12 MeV σ ~ 06 μb (prelim)statistics 2680plusmn310 events of 15middot106 triggered interactions of a total number 3middot1012 dC-interactions
200 400 600 800
0
500
1000
1500
2000
Co
un
ts (
30 M
eV
)
M [MeV]
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
Systems with two conserving charges
EoS relativistic mean field + bag model
T=0
ZA=ρQρB
x=(ρQ - ρB)(2ρB)x=ZA-05
Hadronic side of the phase boundary decreases with increasing isospin asymmetry This effect is strongly model dependent
HMueller Nucl Phys A618 349 (1997)
ASKhvorostukhin et al(to be published)
M Di Toro et al nucl-th0602052
Semi-central U+U (1 AGeV) collision
A rather exotic nuclear matter is formed in a transient time of the order of 10 fmc having the baryon density around 3ρ0 the temperature 50-60 MeV the energy density 500 MeV fm-3 and the proton fraction ZA between 035 and 040
M Di Toro et al nucl-th0602052
ρBT
ε ZA
ρB
PRESSURE-DENSITY DEPENDENCE FOR TWO CONSERVING CHARGES
HMueller Nucl Phys A618 349 (1997)
For iso-asymmetric systems (xlt0) the pressure changes during the first-order phase transition increasing with the baryon density Theregion of the mixed phase is getting larger
ENTROPY-TEMPERATURE DEPENDENCE
HMueller Nucl Phys A618 349 (1997)
Transition remains the first-order phase transition in the iso-asymmetric matter
ASKhvorostukhin et al(to be published)
μB=1300 MeVμS=300 MeVμQ =-100 MeV
M Di Toro et al nucl-th0602052
Finite size effects (Coulomb surface tension)
A strong dependence of the transition boundary on ZA survives
Without finite size effect
With finite size effect
Chiku and Hatsuda PRD58 (lsquo98)Hatsuda Kunihiro and Shimizu PRL82 (rsquo99)
MVolkov EKuraev DBlaschke GRumlopke SSchmidt PLB(1998)
Signals and precursors
Observation of new resonance structure in the invariant mass spectrum of two γ-quanta in dC-interactions at momentum 275 GeVc per nucleon
Invariant mass distribution of pairs of γ-quanta in the d + C rarr γ + γ + х reaction after subtraction of the event-mixing background The signals-to-background ratios for the invariant mass intervals 300 divide 420 MeV and 480 divide 600 MeV (η) are 2710-2-2 and 89middot10-2 -2 ((40plusmn14)10-3-3 and 32middot10-2 -2 without the background suppression)
The η-mesonMη = 5405plusmn21 MeV
Wresolution= 672plusmn40 MeV statistics 5200 events of
15middot106 triggered interactions of a total
number 3middot1012 dC-interactions
KhU Abraamyan AN Sissakian AS Sorin nucl-ex0607027
New resonance M = 355plusmn6plusmn9 MeV Г = 41plusmn12 MeV σ ~ 06 μb (prelim)statistics 2680plusmn310 events of 15middot106 triggered interactions of a total number 3middot1012 dC-interactions
200 400 600 800
0
500
1000
1500
2000
Co
un
ts (
30 M
eV
)
M [MeV]
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
Semi-central U+U (1 AGeV) collision
A rather exotic nuclear matter is formed in a transient time of the order of 10 fmc having the baryon density around 3ρ0 the temperature 50-60 MeV the energy density 500 MeV fm-3 and the proton fraction ZA between 035 and 040
M Di Toro et al nucl-th0602052
ρBT
ε ZA
ρB
PRESSURE-DENSITY DEPENDENCE FOR TWO CONSERVING CHARGES
HMueller Nucl Phys A618 349 (1997)
For iso-asymmetric systems (xlt0) the pressure changes during the first-order phase transition increasing with the baryon density Theregion of the mixed phase is getting larger
ENTROPY-TEMPERATURE DEPENDENCE
HMueller Nucl Phys A618 349 (1997)
Transition remains the first-order phase transition in the iso-asymmetric matter
ASKhvorostukhin et al(to be published)
μB=1300 MeVμS=300 MeVμQ =-100 MeV
M Di Toro et al nucl-th0602052
Finite size effects (Coulomb surface tension)
A strong dependence of the transition boundary on ZA survives
Without finite size effect
With finite size effect
Chiku and Hatsuda PRD58 (lsquo98)Hatsuda Kunihiro and Shimizu PRL82 (rsquo99)
MVolkov EKuraev DBlaschke GRumlopke SSchmidt PLB(1998)
Signals and precursors
Observation of new resonance structure in the invariant mass spectrum of two γ-quanta in dC-interactions at momentum 275 GeVc per nucleon
Invariant mass distribution of pairs of γ-quanta in the d + C rarr γ + γ + х reaction after subtraction of the event-mixing background The signals-to-background ratios for the invariant mass intervals 300 divide 420 MeV and 480 divide 600 MeV (η) are 2710-2-2 and 89middot10-2 -2 ((40plusmn14)10-3-3 and 32middot10-2 -2 without the background suppression)
The η-mesonMη = 5405plusmn21 MeV
Wresolution= 672plusmn40 MeV statistics 5200 events of
15middot106 triggered interactions of a total
number 3middot1012 dC-interactions
KhU Abraamyan AN Sissakian AS Sorin nucl-ex0607027
New resonance M = 355plusmn6plusmn9 MeV Г = 41plusmn12 MeV σ ~ 06 μb (prelim)statistics 2680plusmn310 events of 15middot106 triggered interactions of a total number 3middot1012 dC-interactions
200 400 600 800
0
500
1000
1500
2000
Co
un
ts (
30 M
eV
)
M [MeV]
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
PRESSURE-DENSITY DEPENDENCE FOR TWO CONSERVING CHARGES
HMueller Nucl Phys A618 349 (1997)
For iso-asymmetric systems (xlt0) the pressure changes during the first-order phase transition increasing with the baryon density Theregion of the mixed phase is getting larger
ENTROPY-TEMPERATURE DEPENDENCE
HMueller Nucl Phys A618 349 (1997)
Transition remains the first-order phase transition in the iso-asymmetric matter
ASKhvorostukhin et al(to be published)
μB=1300 MeVμS=300 MeVμQ =-100 MeV
M Di Toro et al nucl-th0602052
Finite size effects (Coulomb surface tension)
A strong dependence of the transition boundary on ZA survives
Without finite size effect
With finite size effect
Chiku and Hatsuda PRD58 (lsquo98)Hatsuda Kunihiro and Shimizu PRL82 (rsquo99)
MVolkov EKuraev DBlaschke GRumlopke SSchmidt PLB(1998)
Signals and precursors
Observation of new resonance structure in the invariant mass spectrum of two γ-quanta in dC-interactions at momentum 275 GeVc per nucleon
Invariant mass distribution of pairs of γ-quanta in the d + C rarr γ + γ + х reaction after subtraction of the event-mixing background The signals-to-background ratios for the invariant mass intervals 300 divide 420 MeV and 480 divide 600 MeV (η) are 2710-2-2 and 89middot10-2 -2 ((40plusmn14)10-3-3 and 32middot10-2 -2 without the background suppression)
The η-mesonMη = 5405plusmn21 MeV
Wresolution= 672plusmn40 MeV statistics 5200 events of
15middot106 triggered interactions of a total
number 3middot1012 dC-interactions
KhU Abraamyan AN Sissakian AS Sorin nucl-ex0607027
New resonance M = 355plusmn6plusmn9 MeV Г = 41plusmn12 MeV σ ~ 06 μb (prelim)statistics 2680plusmn310 events of 15middot106 triggered interactions of a total number 3middot1012 dC-interactions
200 400 600 800
0
500
1000
1500
2000
Co
un
ts (
30 M
eV
)
M [MeV]
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
ENTROPY-TEMPERATURE DEPENDENCE
HMueller Nucl Phys A618 349 (1997)
Transition remains the first-order phase transition in the iso-asymmetric matter
ASKhvorostukhin et al(to be published)
μB=1300 MeVμS=300 MeVμQ =-100 MeV
M Di Toro et al nucl-th0602052
Finite size effects (Coulomb surface tension)
A strong dependence of the transition boundary on ZA survives
Without finite size effect
With finite size effect
Chiku and Hatsuda PRD58 (lsquo98)Hatsuda Kunihiro and Shimizu PRL82 (rsquo99)
MVolkov EKuraev DBlaschke GRumlopke SSchmidt PLB(1998)
Signals and precursors
Observation of new resonance structure in the invariant mass spectrum of two γ-quanta in dC-interactions at momentum 275 GeVc per nucleon
Invariant mass distribution of pairs of γ-quanta in the d + C rarr γ + γ + х reaction after subtraction of the event-mixing background The signals-to-background ratios for the invariant mass intervals 300 divide 420 MeV and 480 divide 600 MeV (η) are 2710-2-2 and 89middot10-2 -2 ((40plusmn14)10-3-3 and 32middot10-2 -2 without the background suppression)
The η-mesonMη = 5405plusmn21 MeV
Wresolution= 672plusmn40 MeV statistics 5200 events of
15middot106 triggered interactions of a total
number 3middot1012 dC-interactions
KhU Abraamyan AN Sissakian AS Sorin nucl-ex0607027
New resonance M = 355plusmn6plusmn9 MeV Г = 41plusmn12 MeV σ ~ 06 μb (prelim)statistics 2680plusmn310 events of 15middot106 triggered interactions of a total number 3middot1012 dC-interactions
200 400 600 800
0
500
1000
1500
2000
Co
un
ts (
30 M
eV
)
M [MeV]
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
M Di Toro et al nucl-th0602052
Finite size effects (Coulomb surface tension)
A strong dependence of the transition boundary on ZA survives
Without finite size effect
With finite size effect
Chiku and Hatsuda PRD58 (lsquo98)Hatsuda Kunihiro and Shimizu PRL82 (rsquo99)
MVolkov EKuraev DBlaschke GRumlopke SSchmidt PLB(1998)
Signals and precursors
Observation of new resonance structure in the invariant mass spectrum of two γ-quanta in dC-interactions at momentum 275 GeVc per nucleon
Invariant mass distribution of pairs of γ-quanta in the d + C rarr γ + γ + х reaction after subtraction of the event-mixing background The signals-to-background ratios for the invariant mass intervals 300 divide 420 MeV and 480 divide 600 MeV (η) are 2710-2-2 and 89middot10-2 -2 ((40plusmn14)10-3-3 and 32middot10-2 -2 without the background suppression)
The η-mesonMη = 5405plusmn21 MeV
Wresolution= 672plusmn40 MeV statistics 5200 events of
15middot106 triggered interactions of a total
number 3middot1012 dC-interactions
KhU Abraamyan AN Sissakian AS Sorin nucl-ex0607027
New resonance M = 355plusmn6plusmn9 MeV Г = 41plusmn12 MeV σ ~ 06 μb (prelim)statistics 2680plusmn310 events of 15middot106 triggered interactions of a total number 3middot1012 dC-interactions
200 400 600 800
0
500
1000
1500
2000
Co
un
ts (
30 M
eV
)
M [MeV]
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
Chiku and Hatsuda PRD58 (lsquo98)Hatsuda Kunihiro and Shimizu PRL82 (rsquo99)
MVolkov EKuraev DBlaschke GRumlopke SSchmidt PLB(1998)
Signals and precursors
Observation of new resonance structure in the invariant mass spectrum of two γ-quanta in dC-interactions at momentum 275 GeVc per nucleon
Invariant mass distribution of pairs of γ-quanta in the d + C rarr γ + γ + х reaction after subtraction of the event-mixing background The signals-to-background ratios for the invariant mass intervals 300 divide 420 MeV and 480 divide 600 MeV (η) are 2710-2-2 and 89middot10-2 -2 ((40plusmn14)10-3-3 and 32middot10-2 -2 without the background suppression)
The η-mesonMη = 5405plusmn21 MeV
Wresolution= 672plusmn40 MeV statistics 5200 events of
15middot106 triggered interactions of a total
number 3middot1012 dC-interactions
KhU Abraamyan AN Sissakian AS Sorin nucl-ex0607027
New resonance M = 355plusmn6plusmn9 MeV Г = 41plusmn12 MeV σ ~ 06 μb (prelim)statistics 2680plusmn310 events of 15middot106 triggered interactions of a total number 3middot1012 dC-interactions
200 400 600 800
0
500
1000
1500
2000
Co
un
ts (
30 M
eV
)
M [MeV]
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
Observation of new resonance structure in the invariant mass spectrum of two γ-quanta in dC-interactions at momentum 275 GeVc per nucleon
Invariant mass distribution of pairs of γ-quanta in the d + C rarr γ + γ + х reaction after subtraction of the event-mixing background The signals-to-background ratios for the invariant mass intervals 300 divide 420 MeV and 480 divide 600 MeV (η) are 2710-2-2 and 89middot10-2 -2 ((40plusmn14)10-3-3 and 32middot10-2 -2 without the background suppression)
The η-mesonMη = 5405plusmn21 MeV
Wresolution= 672plusmn40 MeV statistics 5200 events of
15middot106 triggered interactions of a total
number 3middot1012 dC-interactions
KhU Abraamyan AN Sissakian AS Sorin nucl-ex0607027
New resonance M = 355plusmn6plusmn9 MeV Г = 41plusmn12 MeV σ ~ 06 μb (prelim)statistics 2680plusmn310 events of 15middot106 triggered interactions of a total number 3middot1012 dC-interactions
200 400 600 800
0
500
1000
1500
2000
Co
un
ts (
30 M
eV
)
M [MeV]
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
STATISTICAL FLUCTUATIONS
VVBegun MIGorenstein et al nucl-th0606036
Central Pb+Pb collisionsNegative hadrons Positive hadrons
The exact charge conservation is very important in the Nuclotron energy While the energy Elab ~ 10 A GeV is approached the resonance decay is getting sizableIsotopic asymmetry results in essentially different behavior of the reduced dispersions ω- and ω+ in the Nuclotron energy range Elab lt 10 A GeV
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
NUCLOTRON JINRProject parameters maximum energy
5 GeVnucl for nuclei with А ~ 200Upgraded Nuclotron up to 10 GeVnucl
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
Phases of strongly interacting matter
httpwwwgside
Nuclotron
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
NuclotronFAIR GSI
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
1 A study of the phase diagram in the domain populated by heavy-ion collisions with the bombarding energy ~ 5 divide 10 GeVnucleon to search
for the mixed phase seems to be a very attractive task
2 The use of the isospin asymmetry as an additional conserving parameter to characterize the created hot and dense system attracts new interest in this problem (critical end-boundary hypersurface )
3 The available theoretical predictions are strongly model dependent giving rather dispersive results There are no lattice QCD predictions for this highly nonpertubative region Much theoretical work should be done and only future experiments may disentangle these models
4 A JINR Nuclotron possibility of accelerating heavy ions to the project energy of 5A GeV and increasing it up to 10A GeV can be realized in two-three years This will enable us to effort a unique opportunity for scanning heavy-ion interactions in energy centrality and isospin asymmetry It seems to be optimal to have the gold and uranium beams in order to scan in isospin asymmetry in both central and semi-central collisions at not so high temperatures
Conclusions
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
MGazdzicki MGorenstein HGutbrod THollman YuMSinyukov GMZinovjev
VG Kadyshevsky VA Matveev and AN Tavkhelidze
THANK YOU FOR ATTENTION
We greatly appreciate many useful and valuable discussions with
YuPGangrsky GGGulbikyan MGItkis ADKovalenko RLednicky AIMalakhov INMeshkov YuEPenionshkevich GMTer-Akopyan
KhYAbraamyan JGBrankovASKhvorostukhin VBPriezzhev VVSkokov DNVoskresensky
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![in the Valence Quark Region - arXiv.org e-Print archive · 2018. 10. 27. · 3 can be compared with predictions from Lattice QCD [11], bag models [12], QCD sum rules [13] and chiral](https://img.pdfslide.tips/doc/110x75/60bd3903889d454b9f7e89a4/in-the-valence-quark-region-arxivorg-e-print-archive-2018-10-27-3-can-be.jpg)
