Study of the momentum correlation of nucleons in $^{96} _{44}$Ru + $^{96} _{44}$Ru and $^{96} _{40}$Zr + $^{96} _{40}$Zr collisions at $\sqrt{s_{\rm NN}}$ = 7.7 and 200 GeV from a multiphase transport model

By using A MultiPhase Transport (AMPT) model in the string melting scenario, influences of nuclear structure on the momentum correlation functions between nucleons in the isobaric collisions of $^{96} _{44}$Ru + $^{96} _{44}$Ru and $^{96} _{40}$Zr + $^{96} _{40}$Zr at $\sqrt{s_{\rm NN}}$ = 7.7 and 200 GeV are investigated. Results, including centrality dependence of the correlation functions, are compared across different parameterizations of the Woods-Saxon distribution, corresponding to varying deformation configurations in the simulation. A maximum difference of 4$\%$ is observed between the isobaric systems for the proton-proton correlation functions when including the quadrupole ($\beta_{2}$) and octupole ($\beta_{3}$) deformation. In peripheral collisions, the Ru + Ru and Zr + Zr systems exhibit maximum differences of 4$\%$ and 5$\%$, respectively, when comparing different parametrization cases. Furthermore, neutron-proton correlation is studied showing a sensitivity to nuclear structure comparable to proton-proton correlations. Our results indicate that in peripheral collisions there may be measurable effects of momentum correlation functions from nuclear deformation and neutron skin in high-precision experimental data, while in central collisions, both effects may show negligible influence on momentum correlation functions.