The homogeneous version of Coulomb modified Faddeev equations was used to determine the binding energy of ${}_{}{}^3{}_{}{}^{}\mathrm{He}$. In the ${}_{}{}^1{}_{}{}^{}\mathrm{S}_0^{}{}_{}{}^{}$ and ${}_{}{}^3{}_{}{}^{}\mathrm{S}_1^{}{}_{}{}^{}$${\mathrm{-}}^3$${\mathrm{D}}_1$ subsystem states, a separable representation of the Paris potential was taken for the N-N interaction; whereas less sophisticated separable potentials were employed in the P and D partial waves with j≤2. The influence of these latter higher N-N partial waves on the ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ binding energy was calculated for the first time within the nonperturbative Faddeev equation approach. The trinucleon binding energy differences were found to be compatible with Coulomb energies obtained in the framework of perturbation theory with local N-N potentials.

• Received 21 December 1987

DOI:https://doi.org/10.1103/PhysRevC.38.444