Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
Abstract
It is suggested that the nucleon mass arises largely as a selfenergy of some primary fermion field through the same mechanism as the appearance of energy gap in the theory of superconductivity. The idea can be put into a mathematical formulation utilizing a generalized HartreeFock approximation which regards real nucleons as quasiparticle excitations. We consider a simplified model of nonlinear fourfermion interaction which allows a γ_{5}gauge group. An interesting consequence of the symmetry is that there arise automatically pseudoscalar zeromass bound states of nucleonantinucleon pair which may be regarded as an idealized pion. In addition, massive bound states of nucleon number zero and two are predicted in a simple approximation. The theory contains two parameters which can be explicitly related to observed nucleon mass and the pionnucleon coupling constant. Some paradoxical aspects of the theory in connection with the γ_{5} transformation are discussed in detail.
 Publication:

Physical Review
 Pub Date:
 April 1961
 DOI:
 10.1103/PhysRev.122.345
 Bibcode:
 1961PhRv..122..345N