Productions of $^3_Λ$H, $^4_Λ$H and $^4_Λ$He in different coalescence channels in Au-Au collisions at $\sqrt{s_{NN}}=3$ GeV
We study the productions of $Λ$-hypernuclei $^3_Λ$H, $^4_Λ$H and $^4_Λ$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$+Λ$ coalescence but also nucleus+nucleon($Λ$) coalescence. We present contributions from different coalescence channels for $^3_Λ$H, $^4_Λ$H and $^4_Λ$He in their productions. We predict the production asymmetry between $^4_Λ$H and $^4_Λ$He, characterized by yield ratios $^4_Λ\text{He}/^4_Λ\text{H}$ and $(^4_Λ\text{H}-^4_Λ\text{He})/(^4_Λ\text{H}+^4_Λ\text{He})$, which can shed light on the existence constraints of the possible neutron-$Λ$ bound states $^2_Λn~(nΛ)$ and $^3_Λn~(nnΛ)$.