Systematics of directed and elliptic flow of light particles in heavy ion collisions in the 1A GeV...
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Transcript of Systematics of directed and elliptic flow of light particles in heavy ion collisions in the 1A GeV...
Systematics of directed and elliptic flow of light particles in heavy ion collisions in the 1A GeV
regime
王永佳兰州大学核科学与技术学院
合作者:郭琛琛 ( 北京师范大学 )导师:李庆峰 ( 湖州师范学院理学院 ) 张鸿飞 ( 兰州大学核科学与技术学院 ) [Ref.] W. Reisdorf et al. FOPI Collaboration NPA(2012)876.1-60
Outline
Ultrarelativistic Quantum-Molecular-Dynamics (UrQMD) model Initializationpotential updates--Skyrme potentialscross section---medium effectcluster construction
Results yieldcollective flow of proton, deuteron, mass 3 (triton and 3
He) and 4He comparison of directed flow of 3H with 3He
Ultrarelativistic Quantum-Molecular-Dynamics (UrQMD) model
• study collisions of p+p, p+A and A+A systems at incident energies covered by INDRA/GSI experiments up to highest energies presently available at LHC/CERN.
• recently updates:various Skyrme interactions have been introduced,
like ImQMD, LQMDmomentum-modified density-dependent nucleon n
ucleon elastic cross section (NNECS)isospin denpendence in cluster recognition, iso-MS
T (minimum spanning tree )
UrQMD Model: Initialization
0 2 4 6 8 10 120.00
0.04
0.08
0.12
0.16
0.20
2 4 6 8 10 12
n p all
197AuWoods-Saxon
r (fm)
n p all
197AuHard-sphere
• Woods-Saxon (WS)• Hard-sphere (HS)
0 30 60 90 120 150-0.010
-0.008
-0.006
-0.004
-0.002
0.000
bind
ing
ener
gy (G
eV)
t (fm/c)
197Au5 random eventsx
(fm
)
Initialization : Hard-sphere
Potential updates
like ImQMD,LQMD
mdCoulloc UUUTH
potential energy density functional:
Change the symmetry potential by varying the η
momentun dependent term:
22 /GeV500c
1.57MeV,
2
,,
2
0
1ln2
ijji
jiij
md ppU
2211
3/22
3/50
2/3221
,02211,
,02221
03,00
5432
3
24
1
)2
3()45(3
80
3
)12()12(364
1
2
45964
1
2
,16
1
18
3
2
xtxtC
txtg
xtxtg
txttg
tt
s
isosur
sur
2
03/5
0
3/82
0
,2
00
1
0
2
)(2
)]([212
spn
isosursurloc
Cg
ggu
1
SkP (K=200MeV)
Cross section
2 3 4
20
100
UrQMD-np-total UrQMD-pp-total Expt.-pp-tot Expt.-np-tot
cros
s se
ctio
n (m
b)
sNN
(GeV)
0.1 1 10 100 1000
10
100
UrQMD-pp-inel UrQMD-pp-el Expt.-pp-el Expt.-pp-inel
cros
s se
ctio
n (m
b)
Elab
(GeV)
0.1 1 10 100
10
100
UrQMD-np-inel UrQMD-np-el Expt.-np-el Expt.-np-inel
cross
sect
ion (m
b)
Elab(GeV)
[Ref] S.A. Bass et al. Prog.Part. Nucl. Phys. 41, 255 (1998)
Momentum-modified density-dependent nucleon nucleon elastic cross section (NNECS)
0 1 20.0
0.5
1.0
0.5 1.0
f
u
FU1 FU2 FU3 FU4
p (GeV/c)
FU3FP1 FU4FP14 FU4FP15 FU3FP16
[Ref] Qingfeng Li et al. PRC 83.044617
Cluster construction• minimum spanning tree (MST)
relative distances : dr<2.8 fm
relative momenta : dp<0.2 GeV/c
• isospin dependent minimum spanning tree (Iso-MST)
relative distances :
1. proton-proton, dr<2.5 fm
2. neutron-neutron, neutron-proton, dr<4.5 fm
relative momenta : dp<0.2 GeV/c
ImQMD: Yingxun Zhang and Zhuxia Li, et al. PRC 85, 051602(R) (2012)
relative momenta: dp<0.25 GeV/c
0 5 10 15 201E-3
0.01
0.1
1
10
100
yield
charge (Z)
MST FOPI Iso-MST
E=150A MeV
Resluts: yield
0 5 10 151E-4
1E-3
0.01
0.1
1
10
100
1000
yield
charge (Z)
MST FOPI Iso-MST
FU4FP15E=250A MeVAu+Au
Au+Au,b=0-2fm, SkP-FU3FP16,Hard-sphere
Resluts: proton and deuteron yield
100 100010
100
deuteron
FOPI-p FOPI-d MST-p MST-d iso-MST-p iso-MST-d
yiel
d
Elab (A MeV)
Au+Aub
0<0.15
SkP-FU3FP16 proton
100 1000
1
10
FOPI-t FOPI-He3 iso-MST-t iso-MST-He3 MST-t MST-He3
yiel
d
Elab
(A MeV)
triton
He3
Au+Au,b=0-2fm, SkP-FU3FP16,Hard-sphere
Resluts: directed flow of proton
100 10000.0
0.2
0.4
0.6
0.8
1.0
FU4FP14-p FU4FP14-p FOPI-b0<0.25
FOPI-0.25<b0<0.45
FU4FP15-pu
t0>0.8
V1 s
lope
of p
roto
n
Elab
(A MeV)
Resluts: directed flow of proton
400 600 800 1000 1200 1400 16000.0
0.2
0.4
0.6
0.8
1.0
FOPI-b0<0.25 FOPI-0.25<b0<0.45
FU3FP16-b0<0.25 FU3FP16-0.25<b0<0.45
FU4FP14-b0<0.25 FU4FP14-0.25<b0<0.45
FU4FP15-0.25<b0<0.45
ut0>0.4
V1 s
lope o
f pro
ton
Elab
(A MeV)
Resluts: directed flow of deuteron
100 10000.0
0.3
0.6
0.9
1.2
FOPI-b0<0.25
FOPI-0.25<b0<0.45
FU4FP14-d FU4FP14-d FU4FP15-d
ut0>0.8
V1 s
lope o
f deute
ron
Elab
(A MeV)
Resluts: directed flow of deuteron
400 600 800 1000 1200 1400 16000.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
FOPI-b0<0.25
FOPI-0.25<b0<0.45
FU3FP16-d FU3FP16-d FU4FP14-d FU4FP14-d FU4FP15-d
V1 s
lope o
f deute
ron
Elab
(A MeV)
Au+Au,ut0>0.4
Comparison with experimental data
[Ref] W.Reisdorf et al. NPA876.1-60 (2012)
0.0 0.2 0.4 0.6 0.8 1.0
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
V1
y0
p d FOPI-p FOPI-d
Au+AuE=1000A MeV0.25<b
0<0.45
ut0>0.4
FU3FP16
Comparison with experimental data
0.0 0.2 0.4 0.6 0.8 1.0
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
V1
y0
A3 He4 FOPI-A3 FOPI-He4
Au+AuE=1000A MeV0.25<b
0<0.45
ut0>0.4
FU3FP16
0.0 0.2 0.4 0.6 0.8 1.0
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
V1
y0
A3 He4 FOPI-He4 FOPI-A3
Au+AuE=250A MeV0.25<b
0<0.45
ut0>0.8
FU3FP16
Comparison with experimental data
Resluts: elliptic flow of proton
100 1000-0.125
-0.100
-0.075
-0.050
-0.025
0.000
0.025
0.050
FOPI-p FU3FP16 FU4FP15
Au+Au0.25<b
0<0.45
ut0>0.8
V2 o
f pro
ton
Elab
(A MeV)
Resluts: elliptic flow of deuteron
100 1000-0.20
-0.15
-0.10
-0.05
0.00
0.05
FOPI-d FU3FP16 FU4FP15
Au+Au0.25<b
0<0.45
ut0>0.8
V2 of
deu
tero
n
Elab
(A MeV)
Elliptic flow of A3 (triton and He3)
100 1000
-0.2
-0.1
0.0
FOPI-A3 FU3FP16 FU4FP15
Au+Au0.25<b
0<0.45
ut0>0.8
V2 o
f mass
3
Elab
(A MeV)
p d A3 He40.25
0.50
0.75
1.00
1.25
1.50
V1 sl
ope
Iso-MST MST FOPI
E=1500A MeV0.25<b
0<0.45
ut0>0.4
Influence of Iso-MST on directed flow
Result from FOPI experimentV
1 slo
pe
Elab=400A MeV
impact parameter b0
Comparison of directed flow of 3H with 3He
0.0 0.2 0.4 0.6 0.8 1.0
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
H3 He3
E=1500A MeVAu+Au0.25<b
0<0.45
FU3FP16ut
0>0.4
V1
y0
3H: slope: 1.1120.0203He: slope: 1.0460.021
Comparison of directed flow of 3H with 3He
0.0 0.2 0.4 0.6 0.8 1.0
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
H3 He3
FU3FP16E=1000A MeV0.25<b
0<0.45
ut0>0.4
V1
y0
3H: slope: 1.0990.0183He: slope: 1.0420.016
Comparison of directed flow of 3H with 3He
0.00
0.25
0.50
0.75
0.0 0.2 0.4 0.6 0.8
0.00
0.25
0.50
0.75
H3 He3
E=400A MeV0.25<b
0<0.45
ut0>0.4
V1
MST
H3: slope: 0.6320.024He3: slope: 0.6030.019
H3: slope: 0.5650.019He3: slope: 0.5360.014
Iso-MST
V1
y0
Summary
UrQMD model InitializationSkyrme potentialCross section-- nuclear medium effectCluster recognition-MST, Iso-MST
Study of collective flow of p, d, A3, He4 in heavy ion collisions in the 1A GeV regimeIso-MST influence on directed flowComparison of directed flow of 3H with 3He