G-matrix calculations in finite hypernuclei.

Abstract

g-matrix calculations have been performed for $_{\mathrm{\ensuremath{\Lambda}}}^{5}\mathrm{He}$, $_{\mathrm{\ensuremath{\Lambda}}}^{17}\mathrm{O}$, and $_{\mathrm{\ensuremath{\Lambda}}}^{41}\mathrm{Ca}$ by solving the \ensuremath{\Lambda}-\ensuremath{\Sigma} coupled channels Bethe-Goldstone equation. The potentials employed were the Nijmegen model D and Nijmegen soft core. Calculations were performed with various choices for the Pauli-forbidden space and the energy denominator. The Nijmegen model D does a reasonable job of reproducing most experimental single-particle energies, but the calculated ground-state binding energies vary smoothly from being underbound in the $_{\mathrm{\ensuremath{\Lambda}}}^{5}\mathrm{He}$ to overbound in $_{\mathrm{\ensuremath{\Lambda}}}^{41}\mathrm{Ca}$. The Nijmegen soft core underbinds all single \ensuremath{\Lambda} states, but gives level spacings which agree with experimental values.