论文标题
$λnn$ $（j^π= 1/2^+，i = 1）$和$ {\ rm^3_λH^*}（j^π= 3/2^+，i = 0）$状态
Nature of the $Λnn$ $(J^π=1/2^+, I=1)$ and ${\rm ^3_ΛH^*} (J^π=3/2^+, I=0)$ states
论文作者
论文摘要
$λnn$和$ {\ rm^3_λH^*}的性质（j^π= 3/2^+，〜I = 0）$状态$状态在以前的无效领域理论中进行了研究，受到领先秩序，受低能$λn$散射数据和超核数据和超核3和4型身体数据的限制。使用随机变化方法获得了结合的状态溶液，通过采用两种独立的方法研究连续性区域 - 耦合常数方法中的反分析延续和复杂缩放方法。我们的计算同时产生$λnn$和$ {\ rm ^3_λH ^*} $状态未结合。我们得出的结论是，激发状态$ {\ rm ^3_λH ^*} $是虚拟状态，而$λnn$ pole靠近复杂能量平面中三体阈值，可以转换为与Re $ $ $ $ $（E）> 0 $的真实共振，对于某些考虑的$λn$相互作用。最后，讨论了共振溶液的稳定性，并评估了执行计算的准确性的限制。
The nature of the $Λnn$ and ${\rm ^3_ΛH^*} (J^π=3/2^+,~I=0)$ states is investigated within a pionless effective field theory at leading order, constrained by the low energy $ΛN$ scattering data and hypernuclear 3- and 4-body data. Bound state solutions are obtained using the stochastic variational method, the continuum region is studied by employing two independent methods - the inverse analytic continuation in the coupling constant method and the complex scaling method. Our calculations yield both the $Λnn$ and ${\rm ^3_ΛH^*}$ states unbound. We conclude that the excited state ${\rm ^3_ΛH^*}$ is a virtual state and the $Λnn$ pole located close to the three-body threshold in a complex energy plane could convert to a true resonance with Re$(E)>0$ for some considered $ΛN$ interactions. Finally, the stability of resonance solutions is discussed and limits of the accuracy of performed calculations are assessed.
