Behaviour of the $\Lambda N$ and $\Lambda NN$ potential strengths in the $_\Lambda ^5$He hypernucleus

Abstract

Variational study of $_\Lambda ^5$He hypernucleus is presented using a realistic Hamiltonian and a fully correlated wave function including $\Lambda N$ space-exchange correlation. Behaviour of the $\Lambda$-separation energy ($B_\Lambda$) with two- and three- baryon potential strengths is thoroughly investigated. Solutions of the potential strengths giving experimental $B_\Lambda$ are presented.