Productions of ${}_{\Lambda }^3$H, ${}_{\Lambda }^4$H and ${}_{\Lambda }^4$He in different coalescence channels in Au-Au collisions at $\sqrt{s_{NN}}=3$ GeV

Abstract

We study the productions of $\Lambda$-hypernuclei ${}_{\Lambda }^3$H, ${}_{\Lambda }^4$H and ${}_{\Lambda }^4$He in the coalescence mechanism in Au-Au collisions at $\sqrt{s_{NN}}=3$ GeV. Considering the abundance and great importance of baryons and light (hyper-)nuclei on the collision dynamics, we include not only nucleon$+\Lambda$ coalescence but also nucleus+nucleon($\Lambda$) coalescence. We present contributions from different coalescence channels for ${}_{\Lambda }^3$H, ${}_{\Lambda }^4$H and ${}_{\Lambda }^4$He in their productions. We predict the production asymmetry between ${}_{\Lambda }^4$H and ${}_{\Lambda }^4$He, characterized by yield ratios ${}_{\Lambda }^4\text{He}{/}_{\Lambda }^4\text{H}$ and ${(}_{\Lambda }^4\text{H}{-}_{\Lambda }^4\text{He})/{(}_{\Lambda }^4\text{H}{+}_{\Lambda }^4\text{He})$, which can shed light on the existence constraints of the possible neutron-$\Lambda$ bound states ${}_{\Lambda }^{2}n(n\Lambda )$ and ${}_{\Lambda }^{3}n(nn\Lambda )$.

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