Probing the nuclear deformation with three-particle asymmetric cumulant in RHIC isobar runs

Abstract

${}_{44}^{96}$Ru+${}_{44}^{96}$Ru and ${}_{40}^{96}$Zr+${}_{40}^{96}$Zr collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=200$ GeV provide unique opportunities to study the geometry and fluctuations raised from the deformation of the colliding nuclei. Using iEBE-VISHNU hybrid model, we predict ${\mathrm{ac}}_2\{3\}$ ratios between these two collision systems and demonstrate that the ratios of ${\mathrm{ac}}_2\{3\}$, as well as the ratios of the involving flow harmonics and event-plane correlations, are sensitive to quadrupole and octupole deformations, which could provide strong constrains on the shape differences between ${}^{96}$Ru and ${}^{96}$Zr. We also study the nonlinear response coefficients ${\chi }_{4,22}$, which show insensitivity to the deformation effect.

Comments: 7 pages, 5 figures, published version