Folding analysis of double L hyper nuclei using effective L-core interaction

M. A. Allam

Physics Department, Faculty of Science, Cairo University, Cairo, Egypt.

Accepted 14^th May, 2012

The ground state properties of _LL⁶He. _LL¹⁰Be and _LL¹³B hypernuclei are studied using L-L-core three body model. An effective L-core interaction is obtained by folding Gaussian shape spin dependent soft core L-N interaction into the density distribution of the core of double L hypernucleus. This effective L-core interaction is tested to produce the recent binding energy B_LL of _LL⁶He reported by Nagara event. The calculated binding energies for _LL¹⁰Be and _LL¹³B nuclei are in good agreement with the recent experimental data to gain confidence in our effective L-L-core model to be used for studying different properties of heavier double L hypernuclei. Hyperspherical Harmonic Expansion (HH) method is used in our calculations. Complete symmetric and mixed symmetric wave functions are introduced. Contributions from partial waves have been also taken into account. The Fabre optimal subset is adopted to obtain fast and good convergence for the calculated binding energy using the renormalized Numerov method.

Keywords: Hyper spherical three body calculations. L-L and N-L spin dependent soft core phenomenological potentials, Effective L core interaction. Double L hyper nuclei.

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

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