Measurements of $p-\Lambda$ and $d-\Lambda$ correlations in 3 GeV Au+Au collisions at STAR

Heavy-ion collisions provide a unique opportunity to explore nucleon-hyperon (N-Y) interactions through two-particle correlations. The $p-\Lambda$ and $d-\Lambda$ 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 $p-\Lambda$ and the first measurement of $d-\Lambda$ correlation with $\sqrt{s_{_{\rm NN}}}=$ 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 $p-\Lambda$ and $d-\Lambda$ interactions. Using the $f_0$ and $d_0$ extracted from two spin states in $d-\Lambda$ correlation, the parameters from the doublet state indicate the hypertriton binding energy is consistent with the current average of world measurements.