Exploring Global Polarization Splitting in Au+Au Collisions at s_NN=19.6 GeV Using Viscous Hydrodynamic Model CLVisc

We present a systematic study of the global polarization of Lambda and Lambda hyperons in Au+Au collisions at root s(NN)=19.6 GeV using the viscous hydrodynamic model CCNU-LBNL-Viscous hydrodynamic model (CLVisc) with a modified 3D optical Glauber model initial condition. The global polarization splitting as a function of transverse momentum and rapidity is investigated. It is shown that the magnitude of the net baryon density and its longitudinal titled geometry at the initial stage both have significant effects on the global polarization splitting of Lambda and Lambda over bar hyperons. Specifically, an increase in the magnitude of the net baryon density leads to a corresponding minor increase in the global polarization splitting. Similarly, alterations in the tilted geometry of net baryon density results in significant changes in the splitting of the global polarization.