Determine the neutron skin type by relativistic isobaric collisions

The effects of neutron skin on the multiplicity ($N_{\rm ch}$) and eccentricity($\epsilon_2$) in relativistic $^{96}_{44}$Ru+$^{96}_{44}$Ru $^{96}_{40}$Zr+$^{96}_{40}$Zr collisions at $\sqrt{s_{_{\rm NN}}}=200$ GeV are investigated with Trento model. It is found that Ru+Ru/Zr+Zr ratios $N_{\rm ch}$ distributions $\epsilon_{2}$ mid-central exquisitely sensitive to type (skin vs.~halo). state-of-the-art calculations by energy density functional theory (DFT) favor halo-type can soon be confronted experimental data. demonstrated serve as a good surrogate for DFT density, thus efficiently employed probe nuclear deformities using elliptic flow data central collisions. We provide hereby proof-of-principle venue simultaneously determine type, thickness, deformity.