Simple Woods-Saxon-type form for Ωα and Ξα interactions using folding model

We derive a simple Woods-Saxon-type form for potentials between Y = Xi, Omega, and alpha using a single-folding potential method, based on a separable Y-nucleon potential. The potentials Xi + alpha and Omega + alpha are accordingly obtained using the ESC08c Nijmegens Xi N potential (in S-3(1) channel) and HAL QCD collaboration Omega N interactions (in lattice QCD), respectively. In deriving the potential between Y and alpha, the same potential between Y and N is employed. The binding energy, scattering length, and effective range of the Y particle on the alpha particle are approximated by the resulting potentials. The depths of the potentials in Omega alpha and Xi alpha systems are obtained at -61 MeV and -24.4 MeV, respectively. In the case of the Xi alpha potential, a fairly good agreement is observed between the single-folding potential method and the phenomenological potential of the Dover-Gal model. These potentials can be used in 3-,4- and 5-body cluster structures of Omega and Xi hypernuclei.