超曲子的$Λ$ -分离能增加的意义
Implications of an increased $Λ$-separation energy of the hypertriton
摘要：
最近的迹象表明，超曲子的结合能可以显着大于迄今为止假设的刺激下，一个更强的约束$^3_Λ{\rm H}$状态的超子-核子相互作用和后果的结合能的$A=4,5$和$7$超核的要求进行了研究。本文以手征有效场论中次高阶的$YN$势为基础，求解Faddeev和Yakubovsky方程，分别得到相应的$3$和$4$体结合能，并对$^5_Λ$ He和$^7_Λ$ Li采用Jacobi无核壳模型.据发现，自旋单重态$Λp$相互作用将不得不更有吸引力的，但是，可以容纳在由可用的$Λp$散射数据设置的界限内。预测的结合能的$^4_Λ{\rm He}$超核更接近经验值比$YN$相互作用，产生更弱的结合$^3_Λ{\rm H}$。$^7_Λ$ Li的分离能和激发谱的描述质量基本保持不变。
英文摘要：
Stimulated by recent indications that the binding energy of the hypertriton could be significantly larger than so far assumed, requirements of a more strongly bound $^3_Λ{\rm H}$ state for the hyperon-nucleon interaction and consequences for the binding energies of $A=4,5$ and $7$ hypernuclei are investigated. As basis a $YN$ potential derived at next-to-leading order in chiral effective field theory is employed, Faddeev and Yakubovsky equations are solved to obtain the corresponding $3$- and $4$-body binding energies, respectively, and the Jacobi no-core shell model is used for $^5_Λ$He and $^7_Λ$Li. It is found that the spin-singlet $Λp$ interaction would have to be much more attractive which can be, however, accommodated within the bounds set by the available $Λp$ scattering data. The binding energies of the $^4_Λ{\rm He}$ hypernucleus are predicted to be closer to the empirical values than for $YN$ interactions that produce a more weakly bound $^3_Λ{\rm H}$. The quality of the description of the separation energy and excitation spectrum for $^7_Λ$Li remains essentially unchanged.
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