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 Λ 7 He hypernucleus for which the first experimental data have been recently reported. New evaluation for hyperon binding energy in Λ 7 He is done by using a relation between energies of the spin doublet (1− ,2− ) of Λ 6 He and the Λ 7 He ground state. Energies of low-lying levels of Λ 6 He hypernucleus are calculated within the cluster α + Λ + n model.
Highlights
P-shell hypernuclei, likeHe are being considered as appropriate systems to study the ΛN interaction and in particular their spin dependence [1].The is of some interest for studying the CSB effect of ΛN interaction [2].The first reliable experimentalHe data obtained at the Jlab experiments (E01-011, E05-115) have been reported in Refs. [2, 3]
It is not surprising that the similar cluster system α + n + n is weakly bound when calculation is performed with pair potentials only
The excitation energies of the levels in [9] are quite different from ones shown in figure 2 due to strong ΛN potential used in [9] which overestimates the 6ΛHe binding energy
Summary
He are being considered as appropriate systems to study the ΛN interaction and in particular their spin dependence [1]. The is of some interest for studying the CSB effect of ΛN interaction [2] He data obtained at the Jlab experiments (E01-011, E05-115) have been reported in Refs. Theoretical investigations for 7ΛHe within the frameworks of three and four-body cluster models were undertaken in Refs. The recent theoretical result [6] for the energy is within experimental errors, but slightly overebound the system. He is interesting due to study of spin dependence of [9]. It is clear that some correlations can be found between energies of the systems
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