Abstract 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 Λnp J π = 3 / 2 + channel, leading to cross-section enhancement near threshold. For the Λnn J π = 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.

中文翻译：

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超核三重奏的连续谱

摘要 由一个 Λ 重子和两个核子组成的超核三重子谱是正在进行的实验活动的主题，旨在研究 Λ 粒子与中子的相互作用以及三体 Λ-核子-核子力。在这份手稿中，我们以领先的顺序利用重子有效场理论，限制重现可用的低能量光超核数据，研究这种超核三重奏的连续谱。使用复标度法和耦合常数法中的逆解析延拓，我们发现Λnp J π = 3 / 2 + 通道中存在虚拟状态，导致接近阈值的截面增强。对于 Λnn J π = 1 / 2 + 通道，我们预测共振状态。然而，取决于 ΛN 散射长度的值，