Regularization of singular terms in the N¯ potential model

Abstract

We suggest a method of singular terms regularization in potential model of N 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 andN 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.

On the electromagnetic form factors of hadrons in the time-like region near threshold

“…The model parameters for pp were found to be ρ = 0.3 fm and Φ = 0.01 + i1.02 [1,3]. Solid and dotted lines are calculations using optical model [26,27] with and without Coulomb corrections. Dash-dotted line represents the data fit by the model Eq.…”

“…[19]. Solid line is our calculation using optical model [26,27] with normalization at k = 200 MeV/c. Second, one of the input form factors is dominant, for instance, G 0 (1) ≫ G 0 (0).…”

“…We note the sharp peak at small relative momenta with decreasing of the form factor in two times. We perform comparison between the numerical solution of the Schröedinger equation with the OBE potential [26,27], the model form factor given by Eq. ( 12) and its nearthreshold form Eq.…”

“…Just near threshold it can be practically constant or even decreasing function of the energy. The calculations of the neutron form factor using optical model [26,27] in this case are presented in Fig. 3.…”

“…Experimental data from[19]. Solid line is our calculation using optical model[26,27] with normalization at k = 200 MeV/c.…”