Structure of the ground and excited states in $_{\Lambda}^{9}$Be nucleus

TL;DR

This paper models the $_{\Lambda}^{9}$Be nucleus using a three-cluster microscopic approach to analyze its bound and resonance states, revealing how cluster polarization affects energy levels and scattering properties.

Contribution

It introduces a three-cluster microscopic model with Gaussian and oscillator bases to study $_{\Lambda}^{9}$Be, incorporating cluster polarization effects on its states and scattering behavior.

Findings

Cluster polarization influences resonance energies and widths.

The model accurately describes bound and resonance states.

Scattering properties are affected by cluster interactions.

Abstract

We investigate properties of bound and resonance states in the $_{\Lambda}^{9}$Be nucleus. To reveal the nature of these states, we use a three-cluster $2\alpha+\Lambda$ microscopic model. The model incorporates Gaussian and oscillator basis functions and reduces a three-cluster Schr\"{o}dinger equation to a two-body like many-channel problem with the two-cluster subsystems ($_{\Lambda}^{5}$He and $^8$Be) being in a bound or a pseudo-bound state. Influence of the cluster polarization on the energy and widths of resonance states in $_{\Lambda}^{9}$Be and on elastic and inelastic $_{\Lambda}^{5}$He+$\alpha$ scattering is analyzed.