Transverse momentum and pseudorapidity dependences of $'\bm{Mach-like}'$ correlations for central Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV

TL;DR

This study uses a multi-phase transport model to analyze how Mach-like shock wave correlations depend on transverse momentum and pseudorapidity in central Au+Au collisions at 200 GeV, revealing insights into jet-medium interactions.

Contribution

It provides a detailed simulation-based analysis of Mach-like correlations' dependence on kinematic variables, highlighting the role of medium properties and partonic interactions.

Findings

Splitting parameter D slightly increases with associated hadron transverse momentum.

D remains flat in mid-pseudorapidity and drops at high pseudorapidity.

Results align with experimental trends and suggest medium density effects.

Abstract

The transverse momentum and pseudorapidity dependences of partonic {`\it{Mach-like}'} shock wave have been studied by using a multi-phase transport model (AMPT) with both partonic and hadronic interactions. The splitting parameter $D$, i.e. half distance between two splitting peaks on away side in di-hadron azimuthal angular ($\Delta\phi$) correlations, slightly increases with the transverse momentum of associated hadrons ($p^{assoc}_T$), which is consistent with preliminary experimental trend, owing to different interaction-lengths/numbers between wave partons and medium in strong parton cascade. On the other hand, the splitting parameter $D$ as a function of pseudorapidity of associated hadrons ($\eta^{assoc}$), keeps flat in mid-pseudorapidity region and rapidly drops in high-pseudorapidity region, which is as a result of different violent degrees of jet-medium interactions in the medium that has different energy densities in the longitudinal direction. It is proposed that the research on the properties of {`\it{Mach-like}'} correlation can shed light on the knowledge of both partonic and hadronic interactions at RHIC.