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

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 ($\Delta \varphi$) correlations, slightly increases with the transverse momentum of associated hadrons ($p_T^{assoc}$), 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.

Comments: 6 pages, 6 figures; accepted by Phys. Rev. C