2023 Impact factor 2.6
Hadrons and Nuclei
Eur. Phys. J. A 7, 519-535

The Nambu-Jona-Lasinio model of light nuclei

A.N. Ivanov$^{,\star}$ - H. Oberhummer - N.I. Troitskaya$^{\star}$ - M. Faber

Institut für Kernphysik, Technische Universität Wien, Wiedner Hauptstr. 8-10/142, 1040, Vienna, Austria

Received: 10 March 2000 Communicated by V.V. Anisovich

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 NC expansion, where NC is the number of quark colours.

PACS
11.10.-z Field theory - 11.10.Ef Lagrangian and Hamiltonian approach - 11.10.St Band and unstable states; Bethe-Salpeter equations - 12.90.+b Miscellaneous theoretical ideas and models - 21.30.Fe Forces in hadronic systems and effective interactions


Copyright Società Italiana di Fisica, Springer-Verlag 2000