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
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