Nucleon-Nucleon Scattering from One-Boson-Exchange Potentials. II. Inclusion of all Momentum-Dependent Terms through Orderp2

Abstract

The nucleon-nucleon interaction in relative angular momentum states $l\ge 1$ is described over the energy range 25-350 MeV by a potential used in conjunction with the Schrödinger equation. The potential is a superposition of pole terms obtained from single exchanges of $\omega$, $\rho$, $\pi$, $\eta$, ${\sigma }_0$, and ${\sigma }_1$ mesons and, rather than taking the usual static limit, all terms of order $\frac{k^2}{M^2}$ are retained. Because of these momentum-dependent terms, no cutoff is necessary in $l\ge 1$ states. The meson coupling constants and the masses of the scalar mesons (${\sigma }_0$ and ${\sigma }_1$) are the parameters which are adjusted to fit the experimentally determined phase parameters. A comparison with the data is given, showing a quantitative fit (${\mathrm{X}}^2$/datum=1.6) when the model is augmented with reasonable values of the $S$-wave parameters.