Phenomenological N-N potential for few-nucleon systems with A=2-4

The purpose of the study is construction of N-N potentials reproducing with high accuracy sumultaneously nuclei binding energies with A=2-4, their dimensions and form factors. The problem of describing the most important nuclei characteristics with A=3.4 is reduced to finding an effective N-N potential averaged over spin-isospin variables. The constructed effective N-N potentials represent a half-sum of triplet and singlet potentials and have no direct relation to the two-partial problem. On the basis of analysis of experimental data on N-N scattering and deuteron parameters triplet and singlet potential parameters for the two-partial problem have been found. The above potential parameters and the results of calculation of scattering length, effective radii and a charge root-mean-square deuteron radius together with the experimental data are presented in a table form. The calculation results and experimental values of binding energy and structural root-mean-square radii of 3H, 3He, 4He are tabulated as well. As the tables show, a very good description of all considered nuclei characteristics with A=2-4 is assured