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Phys. Rev. C 70, 044005 (2004) [24 pages]

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

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A. M. Shirokov*
Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, 119992, Russia

A. I. Mazur and S. A. Zaytsev
Physics Department, Khabarovsk State Technical University, Tikhookeanskaya 136, Khabarovsk 680035, Russia

J. P. Vary§ and T. A. Weber**
Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011-3160, USA

Received 18 May 2004; published 27 October 2004

The nucleon-nucleon (NN) interaction is constructed by means of the J-matrix version of inverse scattering theory. Ambiguities of the interaction are eliminated by postulating tridiagonal and quasitridiagonal 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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.70.044005
DOI:
10.1103/PhysRevC.70.044005
PACS:
13.75.−n, 21.45.+v, 21.60.Cs

*Electronic address: shirokov@nucl-th.sinp.msu.ru

Electronic address: mazur@hpicnit.khstu.ru

Electronic address: zaytsev@fizika.khstu.ru

§Electronic address: jvary@iastate.edu

**Electronic address: taweber@iastate.edu