English

The Nambu-Jona-Lasinio model of light nuclei

Nuclear Theory 2008-11-26 v1

Abstract

The Nambu-Jona-Lasinio model of the deuteron suggested by Nambu and Jona-Lasinio (Phys. Rev. 124 (1961) 246) is formulated from the first principles of QCD. The deuteron appears as a neutron-proton collective excitation, i.e. a Cooper np-pair, induced by a phenomenological local four-nucleon interaction in the nuclear phase of QCD. The model describes the deuteron coupled to itself, nucleons and other particles through one-nucleon loop exchanges providing a minimal transfer of nucleon flavours from initial to final nuclear states and accounting for contributions of nucleon-loop anomalies which are completely determined by one-nucleon loop diagrams. The dominance of contributions of nucleon-loop anomalies to effective Lagrangians of low-energy nuclear interactions is justified in the large N_C expansion, where N_C is the number of quark colours.

Keywords

Cite

@article{arxiv.nucl-th/0006049,
  title  = {The Nambu-Jona-Lasinio model of light nuclei},
  author = {A. N. Ivanov and H. Oberhummer and N. I. Troitskaya and M. Faber},
  journal= {arXiv preprint arXiv:nucl-th/0006049},
  year   = {2008}
}

Comments

39 pages, 2 Postscript figures, Latex