Baryon CF paper at 3 GeV

 Title: Measurements of Proton-Proton, Proton-Λ and Proton-Ξ- Correlation Functions in √s_NN= 3 GeV Au+Au Collisions at RHIC

 PAs: X. Dong, C. Fu, X.F. Luo, K. Mi, Z. Qin, Y.Q. Qi, S.S. Shi, Y.P. Wang, N. Xu, Z.G. Xiao, Y.J. Zhou

 Target journal : Physical Review Letters 
 Paper draft : In preparation
 Analysis note : https://drupal.star.bnl.gov/STAR/blog/fuchuan/pppLampXi-analysis-notes
 Paper proposal : https://drupal.star.bnl.gov/STAR/system/files/BaryonCF_3GeV_paper_proposal_04_05.pdf
 CVS codes on rcf: 

Outline

  1.   Abstract
  2.   Motivation
  3.   Figures
  4.   Summary
  5.   Supporting-materials
  6.  Questions-in-PWGC-preview

Abstract

The spatial-temporal extension of the source and the final state interaction among the pair of particles understudy can be inferred
from two-particle correlation function measured in high-energy. 
In this paper, we report the first results of baryon correlation functions (CF) for the pairs of p-p, p-Λ and p−Ξ- from 3.0 GeV Au+Au collisions at RHIC.
With the Lednický-Lyuboshitz (LL) approach, the source parameters RG, scattering length f0 and effective range d0
for p-p and p-Λ pairs (spin-averaged) are extracted in different collision centrality and rapidity bins. 
The source parameters are dependent, while the scattering parameters are independent, on centrality and rapidity within uncertainties.  
In addition, a hierarchy of scattering length is observed: f0 (p−Ξ-) < f0(p-Λ) < (p-p), implying attenuated strong interaction for increased strangeness content
 
 

Motivation

1, Measurements of p-p, p−Λ and p−Ξ- correlation functions in high baryon density region
2, Extraction of strong interaction parameters for p-p and p−Λ pairs
3, Source size extraction and the study on baryon dynamic information

Figures

Fig. 1: The density distributions in transverse momentum (pT) and particle rapidity (y) for proton (a), Λ (b) and Ξ- (c) in 3.0 GeV Au+Au collisions.
A momentum cut 
with p < 2 GeV/c is applied in proton selection by TPC. Correlation functions are measured within the pT-y regions shown by the box. 



 

Fig. 2: Collision centrality dependence of the correlation functions for mid-rapidity (−0.5 < y < 0) pairs of p−p (left panel)
and p−Λ (middle panel) from 
3 GeV Au+Au collisions. For p−Ξ- (right panel) correlation function, only 0-60% result is available
due to the limitation in statistics. Symbols, solid lines and dashed lines represent the results from experiment, fitting results of
Lednický-Lyuboshitz (LL) model and UrQMD model calculation, respectively. Vertical bar and band on data points represent statistical and
systematic uncertainty,  respectively.
 


Fig. 3: Extracted strong interaction parameters (f0, d0) from p-p and p−Λ correlation functions in 3.0 GeV Au+Au collisions.
For p-p pairs, the resulting 3-σ 
contour-lines for 0-10% (dot-dashed line), 10-20% (short-dashed line), 20-40% (solid line) and
40-60% (dotted line) centrality bins and rapidity windows of [-0.5, 0] (blue), [-0.75, -0.5] (red) and [-1.0, -0.75] (gray) are shown
in the right and insert. For p−Λ pairs, due to limited statistics, only 1-σ contours from three centrality bins 0-10 % (dot-dashed line),
10-20% (short-dashed line), 20-60% (long dashed line) and two rapidity windows [-0.5, 0] (blue) and [-0.75, -0.5] (red) are shown.
Black stars and solid lines represent the results of combined fits: while the size parameters vary as a function of collision centrality and
different rapidity windows, only one set of the strong interaction parameter (f0, d0) is extracted for given sets of correlation functions. 
 

 


Fig. 4: Left panel: Solid circles represent the final state strong interaction parameters (f0, d0) extracted from p-p and p−Λ correlation functions.
Open triangles represent the predictions from model calculations. Brown square denotes the value from low energy scattering experiment.
1-σ contours are shown for both p-p and p−Λ pairs.
Right panel: Mid-rapidity (-0.5 < y < 0) source size parameter, shown as a function of collision centrality, for p-p and p−Λ pairs
from = 3.0 GeV Au+Au collisions. Solid and open symbols represent the results extracted from the LL fitting to experimental data and the UrQMD
calculations, respectively. 
A Gaussian type single particle space distribution is assumed in the LL fit. All source-size parameters are extracted as the
RMS of pair space distribution in the pair rest frame. For data, both statistical and systematic uncertainties are included in the plot but not visible.

 


 
Summary

First results of collision centrality and rapidity dependence of baryon correlation functions for p-p, p-Λ and p-Ξ- pairs from 3.0 GeV Au+Au collisions at RHIC are reported. 
Using the LL-fitting formula, the parameters of the source size, scattering length f0 and effective range d0 for the pairs of p-p and p-Λ are extracted from different collision
centrality and rapidity bins As expected, the source size parameters vary with centrality and rapidity, showing the characteristic expansion dynamics in such collisions.
On the other hand, both values of (f0, d0) do not show any visible centrality and rapidity dependence. 
For p-p pairs, the extracted spin singlet value of (f0, d0) are (7.02±0.03 fm, 3.41±0.23 fm). These are also found to be consistent within uncertainties with those from low energy
scattering experiment. For p-Λ pairs, the spin-averaged value of f0 is 2.34±0.1 fm. Because of the involvement of the strange quark, the scattering strength for p-Λ is much weaker
than that of p-p pairs. In case of p-Ξ- pairs, one could not determine the interaction parameters due to low statistics.
Calculations of transport model UrQMD with strong interaction potentials reproduced the measured correlation functions reasonably well. 
This is the first time that the baryon interaction parameters are extracted in high-energy nuclear collisions. These new results provide important
information on the properties of the baryon strong interaction which is crucial for understanding the inner structure of compact stars.