Speaker
Description
We investigate the differential $\Lambda\bar{\Lambda}$ spin correlation in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV using AMPT supplemented with a chiral anomaly transport (CAT) module. The CAT module incorporates hyperon polarization induced by thermal vorticity, shear effects, and a finite axial chemical potential $\mu_{5}$. The dynamical framework is constrained through comparisons with measurements of global hyperon polarization, longitudinal polarization modulation, and charge-dependent azimuthal correlations. We find that the $\Lambda\bar{\Lambda}$ spin correlation as a function of the pair separation $\Delta R=\sqrt{(\Delta\eta)^2+(\Delta\phi)^2}$ is substantially enhanced in the presence of a finite chiral imbalance, whereas contributions from vorticity and shear alone remain subleading in the studied kinematic region. When the axial chemical potential is allowed to fluctuate spatially, the resulting correlation develops a characteristic short-range structure. Its magnitude and spatial extent vary systematically with the fluctuation strength and the effective coherence scale of the $\mu_{5}$ field. These results demonstrate that differential $\Lambda\bar{\Lambda}$ spin correlations can provide complementary constraints on the magnitude and spatial structure of chiral imbalance fluctuations in heavy-ion collisions.
