Nucleon–Nucleon Interaction in the J-Matrix Inverse Scattering Approach and Few-Nucleon Systems

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 3H and 4He nuclei. The resulting binding energies of 3H and 4He are very close to experimental values.