Modified separable representation of the Paris nucleon-nucleon potential in theS01andP03states

We give a modified separable representation of the Paris potential, which is to remedy shortcomings of an earlier parametrization in the ${}_{}{}^1{}_{}{}^{}\mathrm{S}_0^{}{}_{}{}^{}$ and ${}_{}{}^3{}_{}{}^{}\mathrm{P}_0^{}{}_{}{}^{}$ partial waves. In particular, the present parametrization does not lead to the unphysical bound states at very large negative energies as encountered previously. Still, it provides for a good approximation of the on-shell as well as off-shell properties of the Paris potential.