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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. - PowerPoint PPT Presentation
Citation preview
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