The Nambu–Jona–Lasinio model of light nuclei

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 neutronproton 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.

Dynamics of low-energy nuclear forces for electromagnetic and weak reactions with the deuteron in the Nambu-Jona-Lasinio model of light nuclei

“…we evaluate at leading order in the large N C expansion [1]. The results of the evaluation contain divergent contributions.…”

“…We have shown that the NNJL model is fully motivated by QCD [1]. The deuteron appears in the nuclear phase of QCD as a neutron-proton collective excitation, a Cooper np-pair, caused by a phenomenological local four-nucleon interaction.…”

“…Recently [1] we have developed the Nambu-Jona-Lasinio model of light nuclei [2], or differently the nuclear Nambu-Jona-Lasinio (NNJL) model, invented for the description of low-energy nuclear forces at the quantum field theoretic level. We have shown that the NNJL model is fully motivated by QCD [1].…”

“…The NNJL model realizes the Lagrange approach to the description of low-energy nuclear forces [1]. For the evaluation of the effective Lagrangian of the transition n + p → D + γ it is necessary, first, to determine the effective Lagrangian of the strong lowenergy transition n + p → n + p, or more generally N + N → N + N, where N = (p, n) is a nucleon field.…”

“…2 The M1-capture in the tree-meson approximation Since the NNJL model realizes a Lagrange approach to the description of low-energy nuclear forces [1], first thing what we have to do is to evaluate the effective Lagrangian L np→Dγ eff (x) of the transition n + p → D + γ. In the tree-meson approximation the effective Lagrangian L np→Dγ eff (x) is defined by one-nucleon loop diagrams depicted in Figs.…”