标题： Au-Au碰撞中不同凝聚通道产生的$^3_Λ$H、$^4_Λ$H 和$^4_Λ$He 在$\sqrt{s_{NN}}=3$GeV 条件下的产生 显示英文标题

标题： 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

摘要： 我们研究了在Au-Au碰撞中以$\sqrt{s_{NN}}=3$GeV能量产生的$\Lambda$超核$^3_{\Lambda}$H、$^4_{\Lambda}$H 和$^4_{\Lambda}$He的产生。考虑到重子和轻（超）核在碰撞动力学中的丰富性和重要意义，我们不仅考虑了核子$+\Lambda$的凝聚机制，还考虑了核子+核子($\Lambda$)的凝聚机制。 我们展示了在不同凝聚通道中对$^3_{\Lambda}$H、$^4_{\Lambda}$H 和$^4_{\Lambda}$He 生产的贡献。 我们预测了$^4_{\Lambda}$氢和$^4_{\Lambda}$氦之间的产生不对称性，用产额比值$^4_{\Lambda}\text{He}/^4_{\Lambda}\text{H}$和$(^4_{\Lambda}\text{H}-^4_{\Lambda}\text{He})/(^4_{\Lambda}\text{H}+^4_{\Lambda}\text{He})$来表征，这可以揭示可能的中子 -$\Lambda$结合态$^2_{\Lambda}n~(n\Lambda)$和$^3_{\Lambda}n~(nn\Lambda)$的存在限制。 显示英文摘要

摘要： 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 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 $^3_{\Lambda}$H, $^4_{\Lambda}$H and $^4_{\Lambda}$He in their productions. We predict the production asymmetry between $^4_{\Lambda}$H and $^4_{\Lambda}$He, characterized by yield ratios $^4_{\Lambda}\text{He}/^4_{\Lambda}\text{H}$ and $(^4_{\Lambda}\text{H}-^4_{\Lambda}\text{He})/(^4_{\Lambda}\text{H}+^4_{\Lambda}\text{He})$, which can shed light on the existence constraints of the possible neutron-$\Lambda$ bound states $^2_{\Lambda}n~(n\Lambda)$ and $^3_{\Lambda}n~(nn\Lambda)$.