Detecting nuclear mass distribution in isobar collisions via charmonium

Abstract

AbstractThe collective properties of final state hadrons produced in the high statistics $$_{44}^{96}$$ 44 96 Ru + $$_{44}^{96}$$ 44 96 Ru and $$_{40}^{96}$$ 40 96 Zr + $$_{40}^{96}$$ 40 96 Zr collisions at $$\sqrt{s_\textrm{NN}} = 200~\textrm{GeV}$$ s NN = 200 GeV are found to be significantly different. Such differences were argued to be precise probes of the difference in nucleon distribution in the isobar nuclei. We investigate the $$J/\psi $$ J / ψ production in the isobar collision via a relativistic transport approach. By comparing the isobar systems according to equal centrality bin and equal multiplicity bin, we find that the yield ratio of $$J/\psi $$ J / ψ is sensitive to the differences in both the number of binary collisions and the medium evolution. Besides, the elliptic flow $$v_2$$ v 2 of $$J/\psi $$ J / ψ is qualitatively different from the light hadrons, and the ratio between Ru + Ru and Zr + Zr collisions is sensitive to the medium evolution. The charmonium production provides an independent probe to study the nucleon distribution in the isobar system.