Regularization of singular terms in $N\bar{N}$ potential model

Abstract

We suggest a method of singular terms regularization in potential model of $N\bar{N}$ interaction. This method is free from any uncertainties, related to the usual cut-off procedure and based on the fact, that in the presence of sufficiently strong short-range annihilation $N$ and $\bar{N}$ never approach close enough to each other. The effect of mentioned singular terms of OBE potential, modified by annihilation is shown to be repulsive. The obtained results for S- and P-wave scattering lengths are in agreement with existing theoretical models.