Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

Abstract

Continuing the program developed in a previous paper, a "superconductive" solution describing the proton-neutron doublet is obtained from a nonlinear spinor field Lagrangian. We Gnd the pions of Gnite mass as nucleon-antinucleon bound states by introducing a small bare mass into the Lagrangian which otherwise possesses a certain type of the p5 invariance. In addition, heavier mesons and two-nucleon bound states are obtained in the same approximation. On the basis of numerical mass relations, it is suggested that the bare nucleon Geld is similar to the electron-neutrino Geld, and further speculations are made concerning the complete description of the baryons and leptons. ' Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961l; referred to hereafter as I. Y. Nambu, Proceedings of the 1960 A nnlal International Con ference on High-Energy Physics at

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