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 ïŒ particle and two ï¡ particles. The effect of different types of the ï¡ï€ï¡interactions on the calculated binding energy of ïŒ in is studied. Different sets of ïŒï€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, ïŒ particle and ï¡ particles, ïŒï€ï¡ interactions.
PACS: 21.30. + y, 21.10.+dr,27.20.+n
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