Discrete and continuous spectrum of lightest hypernuclei

Abstract

We analyze the peculiarities of the interaction of the lambda hyperon with s-shell nuclei. The spectra of bound and scattering states are studied in the hypernuclei $_{\Lambda}^{2}$H, $_{\Lambda}^{3}$H, $_{\Lambda}^{4}$H, $_{\Lambda}^{4}$He and $_{\Lambda}^{5}$He, which is considered as two-cluster configurations $p+\Lambda$, $d$+$\Lambda$, $^{3}$H+$\Lambda$, $^{3}$He+$\Lambda$, $^{4}$He+$\Lambda$, respectively. The explicit form of the folding potentials of such an interaction is presented in coordinate and oscillator representations, which help us to understand the structure of hypernuclei of interest. We compare energies of bound states, phase shifts of the elastic lambda hyperon, and neutron scattering from s-shell nuclei.