LL Interaction from Relativistic Heavy Ion Collisions

Kenji Morita
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
L‐L Interaction from Relativistic Heavy Ion Collisions
Kenji Morita
(YITP, Kyoto)
in Collaboration with Akira Ohnishi (YITP)
Takenori Furumoto (Ichinoseki National Col.)
Ref.) arXiv: 1408.6682
2014 Sep. 23
1
Kenji Morita (YITP, Kyoto)
Role of LL Interaction
Possible Emergence of Hyperons in NS core
To understand EoS,
Information on Hyperon‐Hyperon Interaction is indispensable
Possible Existence of H‐dibaryon
from KEK.jp
2014 Sep. 23
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
2/15
Kenji Morita (YITP, Kyoto)
RHIC Can Tell Us about LL interaction
Au+Au 200AGeV
×108 events
(60‐80%) (0‐5%)
p
p
p
p
N
N
p1
L
N
p
p
N
p
N
L
p
p
Statistical Hadronization
~5 fm/c, ~160MeV
2014 Sep. 23
N
p2
p
time
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
3/15
Kenji Morita (YITP, Kyoto)
LL Correlation in HIC
L
Independent (Chaotic) emission (←Thermal Source)
Identical particle correlation from quantum statistics (HBT effect)
R
C(Q) : effective source size
L
LL Interaction
1
Affects C(Q) when effective range reff is comparable with R
Different results for repulsive and attractive interaction
0.5
C(Q)
2014 Sep. 23
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
4/15
Kenji Morita (YITP, Kyoto)
Analysis by STAR Coll.
arXiv:1408.4360
Fit w/ Lednicky‐Lyuboshitz model
Data: long tail (→ Small source size)
Introduce “residual correlation” for a better fit to data
HBT (size r0)
1.006
2014 Sep. 23
0.18
2.96 fm
Interaction
Residual correlation
‐0.044
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
0.43 fm
5/15
Kenji Morita (YITP, Kyoto)
Our Approach : Thermal Source + VLL
Formula (Gong et al., ‘91)
Emission source func.
Thermal source model (Mimic hydro)
 Static Spherically Symmetric
 Spherically Symmetric + Hubble Flow
 Cylindrically Symmetric + Boost‐
invariance + Transverse flow
2014 Sep. 23
LL relative wave func.
Various potentials
Nijmegen model D, F, Soft Core89/97, ESC08 Ehime Quark model (fss2) Filikhin‐Gal (FG) Hiyama et al. (HKMYY) 新学術領域研究「実験と観測て解き明かす中性子星の核物質」
6/15
Kenji Morita (YITP, Kyoto)
Potential, Wave func., / Correlation
Correlation Function for the Static Source
HBT (size R)
Interaction : deviation from free w.f.
Input VLL
2014 Sep. 23
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
7/15
Kenji Morita (YITP, Kyoto)
Results from the Static Source
Strong attraction is reflected onto C(Q)
Larger variation among potentials than data error‐bars
Size : determined from min. c2
2014 Sep. 23
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
8/15
Kenji Morita (YITP, Kyoto)
Collectivity Deforms Source Function
Influence on the best‐fit potentials?
2014 Sep. 23
C(Q) is fairly sensitive to interaction 新学術領域研究「実験と観測て解き明かす中性子星の核物質」
9/15
Kenji Morita (YITP, Kyoto)
Collectivity Deforms Source Function
Expanding Source
Expansion velocity
Boltzman factor with collective flow
50MeV
500MeV
KM et al., PRC’00
2014 Sep. 23
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
10/15
Kenji Morita (YITP, Kyoto)
Illustration : Spherical Source
Expansion makes the apparent source size smaller
Attraction in C(Q) becomes stronger
2014 Sep. 23
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
11/15
Kenji Morita (YITP, Kyoto)
Illustration : Boost invariant Source
Give a finite longitudinal extent
Width of C(Q) (Q=|p1‐p2|) : effective 3d size
Large RL : narrow width
Transverse flow: fit to pt
distribution of L (STAR ’12)
2014 Sep. 23
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
12/15
Kenji Morita (YITP, Kyoto)
Results from Boost‐invariant Source
Effect of hf is rather small : longitudinal expansion dominates C(Q)
Behavior at small Q is different from the static source !
2014 Sep. 23
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
13/15
Kenji Morita (YITP, Kyoto)
Combined effects from flow and VLL
(min. c2 against R)
Effect of hf is absorbed into change of Ropt
Longitudinal expansion gives another type of “best fit” 2014 Sep. 23
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
14/15
Kenji Morita (YITP, Kyoto)
VLL from RHIC
Same VLL are chosen with smaller R!
2014 Sep. 23
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
15/15
Kenji Morita (YITP, Kyoto)
Summary & Discussion
‐1.8 < 1/a0 < ‐0.8 [fm‐1]
3.5 < reff < 7 [fm]
Origin of long tail in STAR data? / Small source size?
Long‐lived resonance (S0)
Discrepancy from Nagara event?
2014 Sep. 23
新学術領域研究「実験と観測て解き明かす中性子星の核物質」
16/15