Exploring Rapidity-Even Dipolar Flow in Isobaric Collisions at RHIC

Employing the AMPT transport model, we investigate the response of the rapidity-even dipolar flow ($\mathrm{v^{even}_{1}}$) and its associated Global Momentum Conservation (GMC) parameter $\mathrm{K}$ to structural disparities within $^{96}$Ru and $^{96}$Zr nuclei. We analyze \RuRu and \ZrZr collisions at a center-of-mass energy of $\sqrt{\textit{s}_{NN}}$ = 200~GeV. Our analysis demonstrates that the eccentricity $\varepsilon_1$, $\mathrm{v^{even}_{1}}$ and $\mathrm{K}$ exhibit subtle yet discernible sensitivity to the input nuclear structure distinctions between $^{96}$Ru and $^{96}$Zr isobars. This observation suggests that measuring $v^{\rm even}_{1}$ and the GMC parameter in these isobaric collisions could serve as a means to fine-tune the comprehension of their nuclear structure disparities and offer insights to enhance the initial condition assumptions of theoretical models.