Nucleon-nucleon interaction in the $J$-matrix inverse scattering approach and few-nucleon systems

Abstract

The nucleon-nucleon interaction is constructed by means of the $J$-matrix version of inverse scattering theory. Ambiguities of the interaction are eliminated by postulating tridiagonal and quasi-tridiagonal forms of the potential matrix in the oscillator basis in uncoupled and coupled waves, respectively. The obtained interaction is very accurate in reproducing the $NN$ scattering data and deuteron properties. The interaction is used in the no-core shell model calculations of ${}^3$H and ${}^4$He nuclei. The resulting binding energies of ${}^3$H and ${}^4$He are very close to experimental values.

Comments: Text is revised, new figures and references added