Dynamical model of elementary particles based on an analogy with superconductivity. II

Y Nambu, G Jona-Lasinio - Physical review, 1961 - APS
Y Nambu, G Jona-Lasinio
Physical review, 1961APS
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 find the pions of finite mass as nucleon-antinucleon bound states by introducing a small
bare mass into the Lagrangian which otherwise possesses a certain type of the γ 5
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 …
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 find the pions of finite mass as nucleon-antinucleon bound states by introducing a small bare mass into the Lagrangian which otherwise possesses a certain type of the γ 5 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 field is similar to the electron-neutrino field, and further speculations are made concerning the complete description of the baryons and leptons.
American Physical Society