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

We investigate properties of bound and resonance states in the ${}_{\mathrm{\Lambda }}^9$Be nucleus. To reveal the nature of these states, we use a three-cluster $2\alpha +\mathrm{\Lambda }$ 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 (${}_{\mathrm{\Lambda }}^5$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 ${}_{\mathrm{\Lambda }}^9$Be and on elastic and inelastic ${}_{\mathrm{\Lambda }}^5$He+$\alpha$ scattering is analyzed.