论文标题
$ n $ s，$λ$的稳定绑定状态和$ξ$
Stable bound states of $N$'s, $Λ$'s, and $Ξ$'s
论文作者
论文摘要
我们回顾了我们最近的工作，内容涉及包含$ n $，$λ$和$ξ$的奇怪的几个体系统的稳定性。我们利用元素中央型马尔富特 - tjon相互作用再现了核子核子系统的低能参数和相移，以及Hyperon-Nucleon和Hyperon-Hyperon Esc08c Nijmegen电位的最新更新。我们分别通过FADDEEV方程和广义高斯变异方法解决了三体和四体结合状态问题。 Hypertriton，$λnp$ $（i）j^p =（1/2）1/2^+$，由144 keV绑定；最近讨论的$λnn$ $（i）j^p =（1/2）1/2^+$ system是未结合的，以及$λλNN$ $（i）j^p =（1）0^+$ system，刚好高于阈值。我们的结果表明，$ξnn$，$ξ一$和具有最大isospin的$ξ一$系统可能是绑定的。
We review our recent work about the stability of strange few-body systems containing $N$'s, $Λ$'s, and $Ξ$'s. We make use of local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifts of the nucleon-nucleon system and the latest updates of the hyperon-nucleon and hyperon-hyperon ESC08c Nijmegen potentials. We solve the three- and four-body bound-state problems by means of Faddeev equations and a generalized Gaussian variational method, respectively. The hypertriton, $Λnp$ $(I)J^P=(1/2)1/2^+$, is bound by 144 keV; the recently discussed $Λnn$ $(I)J^P=(1/2)1/2^+$ system is unbound, as well as the $ΛΛnn$ $(I)J^P=(1)0^+$system, being just above threshold. Our results indicate that the $ΞNN$, $ΞΞN$ and $ΞΞNN$ systems with maximal isospin might be bound.
