The Nambu-Jona-Lasinio model of light nuclei
A.N. Ivanov - H. Oberhummer - N.I. Troitskaya - 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
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.
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