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

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

2003-12-07

arxiv.org/abs/nucl-th/0312029v2

Phys.Rev. C70 (2004) 044005

Physics

Nuclear Physics

Nuclear Theory

Text is revised, new figures and references added

Scientific paper

10.1103/PhysRevC.70.044005

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.

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