Low-energy nucleon-nucleon potential from Regge-pole theory

Abstract

The results from a potential model for the low-energy $\mathrm{NN}$ interaction based on Regge-pole theory are presented. The forces are due to the dominant parts of the $\ensuremath{\pi}$, $\ensuremath{\eta}$, ${\ensuremath{\eta}}^{\ensuremath{'}}$, $\ensuremath{\rho}$, $\ensuremath{\omega}$, $\ensuremath{\varphi}$, $\ensuremath{\delta}$, $\ensuremath{\epsilon}$, ${S}^{*}$ trajectories in the complex $J$ plane, which are the well-known one-boson-exchange forces. Novel features are the dominant $J=0$ parts of the Pomeron, $f$ ${f}^{\ensuremath{'}}$ and ${A}_{2}$ trajectories. At the Reggeon vertices we use exponential form factors, as suggested by high-energy fits. The Pomeron, $f$, and ${f}^{\ensuremath{'}}$ trajectories lead essentially to repulsive central Gaussian potentials. This soft-core, partially nonlocal potential model fits the $\mathrm{NN}$ data with $\frac{{\ensuremath{\chi}}^{2}}{\mathrm{data}}=2.09$, which is lower than any other model we know of. The $\mathrm{NN}$ coupling constants have reasonable values, and the contributions of the Pomeron and tensor trajectories agree with estimates from high-energy fits.