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

A. M. Shirokov·A. I. Mazur·S. A. Zaytsev·J. P. Vary·T. A. Weber
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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.

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A. M. Shirokov, A. I. Mazur, S. A. Zaytsev, J. P. Vary, T. A. Weber. 2004-05-18. Nucleon-nucleon interaction in the $J$-matrix inverse scattering approach and few-nucleon systems. https://doi.org/10.1103/physrevc.70.044005

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