Abstract

We report on our Stochastic Variational Method (SVM) calculations ofη-nuclear quasi-bound states in s-shell nuclei as well as the very recent calculation of the p-shell nucleus6Li. TheηNpotentials used were constructed fromηNscattering amplitudes obtained within coupled-channel models that incorporateN*(1535) resonance. We found thatη6Li is bound in theηNinteraction models that yield ReaηN≥ 0.67 fm. Additional repulsion caused by the imaginary part ofηNpotentials shifts the onset ofη-nuclear binding toη4He, yielding very likely no quasi-bound state inη3He.

Highlights

  • The current status of our theoretical studies of η-nuclear quasi-bound states, including discussion of the self-consistent treatment of the strong energy dependence of ηN scattering amplitudes derived from coupled-channel meson-baryon interaction models have been discussed thoroughly in Refs. [1,2,3]

  • We report on our Stochastic Variational Method (SVM) calculations of η-nuclear quasi-bound states in s-shell nuclei as well as the very recent calculation of the p-shell nucleus 6Li

  • We found that η6Li is bound in the ηN interaction models that yield ReaηN ≥ 0.67 fm

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Summary

Introduction

The current status of our theoretical studies of η-nuclear quasi-bound states, including discussion of the self-consistent treatment of the strong energy dependence of ηN scattering amplitudes derived from coupled-channel meson-baryon interaction models have been discussed thoroughly in Refs. [1,2,3]. The current status of our theoretical studies of η-nuclear quasi-bound states, including discussion of the self-consistent treatment of the strong energy dependence of ηN scattering amplitudes derived from coupled-channel meson-baryon interaction models have been discussed thoroughly in Refs. Few-body calculations of η-nuclear quasi-bound states have been restricted to s-shell nuclei up to η4He. So far, few-body calculations of η-nuclear quasi-bound states have been restricted to s-shell nuclei up to η4He In this contribution, we present our first SVM calculation of the η-nuclear quasi-bound state in the p-shell nuclear system η6Li, taking into account all possible spin-isospin configurations. We focus on the effect of the imaginary part of the complex VηN potential on the η binding energy Bη. We show that the effect could be considerable in light η-nuclear systems and must be taken into account in the study of the onset of η-nuclear binding

Theoretical approach
Eη ξAξη
Results
Summary
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