Modeling of Λ6^6_ΛHe hypernucleus within configuration space Faddeev approach

preprint2014arXivOpen access

Abstract

The cluster 4He+Λ+n^4\rm He+Λ+\rm n model is applied to describe the Λ6^6_ΛHe hypernucleus. The consideration is based on the configuration space Faddeev equations for a system of non-identical particles. A set of the pair potentials includes the OBE simulating (NSC97f) model for the ΛnΛ\rm n interaction and the phenomenological potentials for the αΛαΛ and αnα\rm n interactions. We calculated energies of spin (1−^-,2−^-) doublet. For the 2−^- excitation energy, the obtained value is 0.18 MeV. The hyperon binding energy of the bound 1−^- state is less than the experimental value, which may be an evidence for violation of the exact three-body cluster structure.

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