Phenomenological study on correlation between flow harmonics and mean transverse momentum in nuclear collisions

TL;DR

This study investigates how nuclear shape deformation affects the correlation between flow harmonics and mean transverse momentum in heavy-ion collisions, revealing sensitivity to nuclear quadrupole deformation and its impact on collision dynamics.

Contribution

It demonstrates the influence of nuclear quadrupole deformation on flow-momentum correlations using the AMPT model in uranium and gold collisions.

Findings

Correlation sensitive to nuclear shape deformation

Quadrupole deformation reduces the correlation

Sign change in ultra-central collisions

Abstract

To assess the properties of the quark-gluon plasma formed in nuclear collisions, the Pearson correlation coefficient between flow harmonics and mean transverse momentum, $\rho\left(v_{n}^{2},\left[p_{\mathrm{T}}\right]\right)$, reflecting the overlapped geometry of colliding atomic nuclei, is measured. $\rho\left(v_{2}^{2},\left[p_{\mathrm{T}}\right]\right)$ was found to be particularly sensitive to the quadrupole deformation of the nuclei. We study the influence of the nuclear quadrupole deformation on $\rho\left(v_{n}^{2},\left[p_{\mathrm{T}}\right]\right)$ in $\rm{Au+Au}$ and $\rm{U+U}$ collisions at RHIC energy using $\rm{AMPT}$ transport model, and show that the $\rho\left(v_{2}^{2},\left[p_{\mathrm{T}}\right]\right)$ is reduced by the prolate deformation $\beta_2$ and turns to change sign in ultra-central collisions (UCC).