Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1.
196114 pages
Published in:
- Phys.Rev. 122 (1961) 345-358
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Abstract: (APS)
It is suggested that the nucleon mass arises largely as a self-energy 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 Hartree-Fock approximation which regards real nucleons as quasi-particle excitations. We consider a simplified model of nonlinear four-fermion interaction which allows a γ5-gauge group. An interesting consequence of the symmetry is that there arise automatically pseudoscalar zero-mass bound states of nucleon-antinucleon 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 pion-nucleon coupling constant. Some paradoxical aspects of the theory in connection with the γ5 transformation are discussed in detail.- NUCLEON: MASS
- MASS: NUCLEON
- MODEL: SUPERCONDUCTIVITY
- SUPERCONDUCTIVITY: MODEL
- APPROXIMATION: HARTREE-FOCK
- NUCLEON ANTINUCLEON: BOUND STATE
- PI NUCLEON: COUPLING CONSTANT
- COUPLING CONSTANT: PI NUCLEON
- FIELD THEORY: SPINOR
- SPINOR: FIELD THEORY
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