A ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ shell-model formalism, including two- and three-body forces, is used to calculate ground and first excited state properties. Inclusion of the three-body force improves the calculated ground state rms radius, ground state form factor, and position of the ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ first excited state.

NUCLEAR STRUCTURE Calculated the influence of three-body forces on the position of the ground state rms radius, ground state form factor, and position of the first excited state in ${}_{}{}^4{}_{}{}^{}\mathrm{He}$. Three-body forces lead to significant improvements in the aforementioned properties.

• Received 7 January 1982

DOI:https://doi.org/10.1103/PhysRevC.26.1292