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.

7 pages, 5 figures, published version

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• Structure of ${}^{128,129,130}$Xe through multi-reference energy density functional calculations
• Exploring the Nuclear Shape Phase Transition in Ultra-Relativistic ${}^{129}$Xe+${}^{129}$Xe Collisions at the LHC
• Examination of nucleon distribution with Bayesian imaging for isobar collisions
• Probe nuclear structure using the anisotropic flow at the Large Hadron Collider
• Impact of initial fluctuations and nuclear deformations in isobar collisions
• Signature of the $\alpha$-clustering structure of Light Nuclei in Relativistic Nuclear Collisions
• Benchmarking nuclear matrix elements of $0\nu \beta \beta$ decay with high-energy nuclear collisions
• Exploring nuclear structure with multiparticle azimuthal correlations at the LHC
• Impact of the pre-equilibrium phase for the determination of nuclear geometry in high-energy isobar collisions
• Exploring Rapidity-Even Dipolar Flow in Isobaric Collisions at RHIC
• Imprints of octupole collectivity in uranium-238 on relativistic heavy-ion flow observables