Exploring the quadrupole deformation in uranium nuclei at STAR

Collective phenomena in heavy-ion collisions are very sensitive to initial geometry including nuclei deformation effects. Recent hydrodynamic model calculations suggest that such deformation effects can be probed by studying event-by-event mean $p_T$ ($\left \langle p_T \right \rangle$) fluctuation and the correlation between the mean $p_T$ and harmonic flow ($v_n$). In particular, due to prolate shape of the uranium nuclei, significant difference between Au+Au and U+U collisions is expected for these observables. Results on the high-order cumulants of $\left \langle p_T \right \rangle$ fluctuations and Pearson correlation coefficient between $\left \langle p_T \right \rangle$ and $v_n$ as a function of centrality from Au+Au at $\sqrt{s_{NN}}$ = 200 GeV and U+U at $\sqrt{s_{NN}}$ = 193 GeV collisions with the STAR detector will be presented. Precise data-model comparison could be helpful to constrain the quadrupole deformation parameter $\beta_2$ of uranium nuclei.