Phenomenological study on correlation between flow harmonics and mean transverse momentum in nuclear 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 $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{U}+\mathrm{U}$ collisions at RHIC energy using $\mathrm{AMPT}$ 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).

Comments: Proceedings for the 50th International Symposium on Multiparticle Dynamics, Zurich, Europe, 12-16 July 2021