  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.

Nuclear Experiment;High Energy Physics - Experiment;High Energy Physics - Phenomenology;Nuclear Theory