论文标题
高核三重奏的连续频谱
The Continuum Spectrum of Hypernuclear Trios
论文作者
论文摘要
由$λ$ baryon和两个核子组成的超核三重奏的光谱是正在进行的实验运动的主题，旨在研究$λ$粒子与中子的相互作用，而3体$λ$λ$ - 努力 - 努力龙 - 努克龙力。在本手稿中，我们在领先顺序上利用了Baryonic有效田间理论，被限制为重现可用的低能光超核数据，以研究这种超核三重奏的连续谱。使用复杂的缩放方法和耦合常数方法中的反向分析延续，我们发现在$λnp $ $ j^π= \ frac {3} {2} {2}^{+} $通道中存在虚拟状态，从而导致接近阈值的横截面增强。对于$λnn $ $ j^π= \ frac {1} {2}^{+} $ Channel，我们预测一个共振状态。但是，根据$λn$散射长度的值，共振极在实验界内从物理上移动到非物理复杂能量表。
The spectrum of hypernuclear trios composed of a $Λ$ baryon and two nucleons is the subject of an ongoing experimental campaign, aiming to study the interaction of the $Λ$ particle with a neutron, and the 3-body $Λ$-nucleon-nucleon force. In this manuscript we utilize baryonic effective field theory at leading order, constrained to reproduce the available low energy light hypernuclear data, to study the continuum spectrum of such hypernuclear trios. Using the complex scaling method and the inverse analytic continuation in the coupling constant method we find the existence of a virtual state in the $Λn p$ $J^π=\frac{3}{2}^{+}$ channel, leading to cross-section enhancement near threshold. For the $Λn n$ $J^π=\frac{1}{2}^{+}$ channel we predict a resonance state. Depending, however, on the value of the $ΛN$ scattering length, the resonance pole moves from the physical to the unphysical complex energy sheet within the experimental bounds.
