Some nucleon-nucleonS-wave potentials

A number of solvableS-wave potentials are presented which match theS-wave nucleon-nucleon phase shifts. The calculation shows that for simple, four parameter potentials there are many rather different parameter sets which yield nearly the same scattering data. We give furthermore some parameter sets which are especially suited for the low energy region. The possibility of fitting the phase shifts with an energy-dependent repulsion was examined phenomenologically. We also calculated a Scott-Moszkowski version of the potentials.