Hyperon binding energy in Λ6He and Λ7He

Abstract

The three-body approach based on the configuration space Faddeev equations for systems of non-identical particles is proposed to describe light hypernuclei (A=6,7, S=-1) with α particle clustering. We focus on the model (α +Λ) + n + n for Λ7He hypernucleus for which the first experimental data have been recently reported. New evaluation for hyperon binding energy in Λ7He is done by using a relation between energies of the spin doublet (1−,2−) of Λ6He and the Λ7He ground state. Energies of low-lying levels of Λ6He hypernucleus are calculated within the cluster α + Λ + n model.