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

Abstract

We derive a simple Woods-Saxon-type form for potentials between , and using a single-folding potential method, based on a separable Y-nucleon potential. The potentials and are accordingly obtained using the ESC08c Nijmegens potential (in channel) and HAL QCD collaboration interactions (in lattice QCD), respectively. In deriving the potential between Y and , 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 and systems are obtained at MeV and MeV, respectively. In the case of the 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 and hypernuclei.