α cluster model for _ΩΩ⁶He and _Ω⁹Be hypernuclei

Within the framework of the Faddeev formalism in configuration space, bound states of the mirror systems αΩΩ and ααΩ are investigated. Previous theoretical considerations for the αΩΩ system demonstrated [1] deep bound ground state due to a strong coupling of the αΩ pair. The interaction between Ω particles results in the addition of bound energy. Our calculations, incorporating phenomenological potentials from [1,2], provide support for the existence of a deeply bound state in _ΩΩ⁶He, with a ground state energy of approximately -62 MeV, excluding the Coulomb force. We present new results for the ααΩ system. The ground state of _Ω⁹Be was determined to have an energy of approximately -34 MeV. A comparative analysis was conducted, comparing the results obtained in this study with previous calculations for hypernuclei _YY⁶He and _Y⁹Be, where Y ≡ Λ, Χ

[1] F. Etminan, M.R. Hadizadeh, Chinese Phys. C 46 (2022) 104103.

[2] F. Etminan, M.M. Firoozabadi, Chinese Phys. C 44 (2020) 054106.