Gamow shell model description of neutron-rich He hyper-isotopes

The Gamow shell model (GSM) framework is extended to the study of weakly bound hypernuclei. As an initial application, we investigate the neutron-rich He hyper-isotopes from _Λ⁶He to _Λ⁹He, accurately treating the unbound or loosely bound character of hypernuclear many-body states. The energy spectra, calculated using a phenomenological Hamiltonian with an effective YN interaction, show good agreement with available experimental data. In particular, neutron-emitting resonant states are predicted for the neutron-rich nuclei ⁵⁻⁸He and the hypernucleus _Λ⁶He. Furthermore, neutron densities exhibit the long-range character of weakly bound and resonant states. This study demonstrates that GSM is a practical tool for describing the complex structure of hypernuclei, especially for those close to drip lines.