Measurements of $p-\hat{I}›$ and $d-\hat{I}›$ correlations in 3 GeV Au+Au collisions at STAR

Abstract

Heavy-ion collisions provide a unique opportunity to explore nucleon-hyperon (N-Y) interactions through two-particle correlations. The $p-\hat{I}›$ and $d-\hat{I}›$ correlations shed light on both N-Y two-body and N-N-Y three-body interactions, which is crucial for understanding neutron star properties. We present the high precision measurement of $p-\hat{I}›$ and the first measurement of $d-\hat{I}›$ correlation with $\sqrt{s_{{}_{\mathrm{NN}}}}=$ 3 GeV Au+Au collisions at STAR. Using the Lednicky-Lyuboshitz formalism, we characterized emission source size, the scattering length ($f_0$), and the effective range ($d_0$) of $p-\hat{I}›$ and $d-\hat{I}›$ interactions. Using the $f_0$ and $d_0$ extracted from two spin states in $d-\hat{I}›$ correlation, the parameters from the doublet state indicate the hypertriton binding energy is consistent with the current average of world measurements.

4 pages, 3 figures, Quark Matter 2023 (QM23) proceedings