An α-cluster model for Λ 9 Be spectroscopy

Abstract

An α-cluster model is applied to study low-lying spectrum of the Λ9Be hypernucleus. The three-body ααΛ problem is numerically solved by the Faddeev equations in configuration space using phenomenological pair potentials. We found a set of the potentials that reproduces experimental data for the ground state (1/2+) binding energy and excitation energy of the 5/2+ and 3/2+ states, simultaneously. This set includes the Ali-Bodmer potential of the version “e” for αα and modified Tang-Herndon potential for αΛ interactions. The spin-orbit αΛ interaction is given by modified Scheerbaum potential. Low-lying energy levels are evaluated applying a variant of the analytical continuation method in the coupling constant. It is shown that the spectral properties of Λ9Be can be classified as an analog of 9Be spectrum with the exception of several “genuine hypernuclear states”. This agrees qualitatively with previous studies. The results are compared with experimental data and new interpretation of the spectral structure is discussed.