Examination of nucleon distribution with Bayesian imaging for isobar collisions

Relativistic collision of isobaric systems is found to be valuable in differentiating the nucleon distributions for nuclei with same mass number. In recent contrasting experiments $_{44}^{96}\mathrm{Ru}+_{44}^{96}\mathrm{Ru}$ versus $_{40}^{96}\mathrm{Zr}+_{40}^{96}\mathrm{Zr}$ collisions at $\sqrt{{s}_{NN}}=200\phantom{\rule{0.16em}{0ex}}\text{GeV}$, ratios multiplicity distribution, elliptic flow, triangular and radial flow are precisely measured significantly different from unity, indicating difference shapes isobar pair. this work, we investigate feasibility nuclear structure reconstruction heavy-ion observables. We perform a Bayesian inference employing Monte Carlo Glauber model as an estimator mapping final state observables provide mock data reconstruction. By varying combination included data, find it plausible infer Woods-Saxon parameters also observe that single-system distribution system, rather than its ratio, crucial simultaneously determine system.