The eigenvalue problem for two particles interacting through the attractive truncated Coulomb potential, V(r)=-${\mathrm{Ze}}^2$/($r^p$+${\beta }^p$${)}^{1/p}$, for p=1 and 2 is solved numerically. Energy eigenvalues accurate to within eight to six significant figures for the states 1s to 4f are calculated as a function of the truncation parameter β. It is found that the level ordering satisfies $E_{\mathrm{nl}}$>$E_{\mathrm{nl}\mathcal{’}}$ for l’. Systematics of the eigenvalues are studied and it is found that for each l value the energies are well represented by a Ritz type of formula.

• Received 11 March 1985

DOI:https://doi.org/10.1103/PhysRevA.32.619