ModelHe3Problem with Separable Interactions

Abstract

The bound-state three-body system, with two of the particles charged, is considered using two approximamate forms of the Coulomb Green's function $G^c\mathrm{}\left(W\right)\mathrm{}$. The nuclear potential between each pair is assumed to be of the separable $s$-wave form. The binding energy of the model ${\mathrm{He}}^3$ system is calculated numerically for each of the two approximations for the Coulomb Green's function, and these results are compared with a first-order perturbation calculation.