Abstract

The different properties of  hyper-nucleus are studied using hyper-spherical harmonics method. The  hyper-nucleus is considered as a three body system consisting of ïŒ particle and two ï¡ particles. The effect of different types of the ï¡ï€­ï¡interactions on the calculated binding energy of ïŒ in  is studied. Different sets of ïŒï€­ï¡interactions are also considered. The Fabre optimal subset is adopted to obtain a good convergence for the calculated binding energy using the renormalized Numerove method. The present calculations are in good agreement with the available experimental data. The more realistic ï¡ï€­ï¡ interaction the more accurate the  binding energy obtained.

Key words:  hyper-nucleus, ïŒ particle and ï¡ particles, ïŒï€­ï¡ interactions.

Abbreviation

PACS: 21.30. + y, 21.10.+dr,27.20.+n