Speaker
Description
We study the productions of $\Lambda$-hypernuclei $^3_{\Lambda}$H, $^4_{\Lambda}$H and $^4_{\Lambda}$He in the coalescence mechanism in Au-Au collisions at $\sqrt{s_{NN}}=3$ GeV. Considering the abundance and great importance on the collision dynamics of baryons and light (hyper-)nuclei, we include not only nucleon$+\Lambda$ coalescence but also nucleus+nucleon($\Lambda$) coalescence. We present contributions from different coalescence channels for $^3_{\Lambda}$H, $^4_{\Lambda}$H and $^4_{\Lambda}$He in their productions. We explain the centrality and rapidity dependent behaviors of $^3_{\Lambda}$H and $^4_{\Lambda}$H measured by the STAR Collaboration. We propose that the production asymmetry between $^4_{\Lambda}$H and $^4_{\Lambda}$He can give constraints on the existences of the possible neutron-$\Lambda$ bound states $^2_{\Lambda}n(n\Lambda)$ and $^3_{\Lambda}n(nn\Lambda)$.
