#### Abstract

The energies of ${}^{3}\mathrm{H}$, ${}^{3}\mathrm{He}$, and ${}^{4}\mathrm{He}$ ground states, the ${\frac{3}{2}}^{{}^{-}}$ and ${\frac{1}{2}}^{{}^{-}}$ scattering states of ${}^{5}\mathrm{He}$, the ground states of ${}^{6}\mathrm{He}$, ${}^{6}\mathrm{Li}$, and ${}^{6}\mathrm{Be}$, and the ${3}^{+}$ and ${0}^{+}$ excited states of ${}^{6}\mathrm{Li}$ have been accurately calculated with the Green's function Monte Carlo method using realistic models of two- and three-nucleon interactions. The splitting of the $A\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}3\mathrm{}$ isospin $T\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\frac{1}{2}$ and $A\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}6\mathrm{}$ isospin $T\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1\mathrm{}$, ${J}^{\pi}{\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0\mathrm{}}^{+}$ multiplets is also studied. The observed energies and radii are generally well reproduced, however, some definite differences between theory and experiment can be identified.

DOI: http://dx.doi.org/10.1103/PhysRevLett.74.4396

- Received 11 January 1995
- Published in the issue dated 29 May 1995

© 1995 The American Physical Society