Binding energies of hypernuclei and three-bodyΛNNforces

Abstract

Binding energies of hypernuclei are calculated with use of accurate variational methods for $A=3,5$, with effective interaction calculations for $A=5,9,13,\ensuremath{\infty}$, and with Fermi hypernetted-chain variational calculations for $A=\ensuremath{\infty}$. Effective interactions and variational results agree within a few percent. For $\ensuremath{\Lambda}N$ forces consistent with $\ensuremath{\Lambda}\mathrm{p}$ scattering, agreement with the experimental energies is obtained with strongly repulsive Wigner type $\ensuremath{\Lambda}\mathrm{NN}$ forces, and for $A>5$ also with a weakened $p$-state $\ensuremath{\Lambda}\mathrm{N}$ strength about half that of the $s$-state strength.