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Title: DYNAMICAL MODEL OF ELEMENTARY PARTICLES BASED ON AN ANALOGY WITH SUPERCONDUCTIVITY. PART I

Abstract

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 HartreeFock approximation which regards real nucleons as quasiparticle excitations. We consider a simplified model of nonlinear four-fermion interaction which allows a gamma /sub 5/-gauge group. An interesting consequence of the symmetry is that there arise automatically pseudoscalar zero-mass bound states of nucleon-antinucleon pnir 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 gamma /sub 5/ transformation are discussed in detail. (auth)

Authors:
;
Publication Date:
Research Org.:
Univ. of Chicago
OSTI Identifier:
4030631
NSA Number:
NSA-15-016339
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D; Journal Volume: Vol: 122; Other Information: Orig. Receipt Date: 31-DEC-61
Country of Publication:
Country unknown/Code not available
Language:
English
Subject:
PHYSICS; ATOMIC MODELS; BINDING ENERGY; ELEMENTARY PARTICLES; ENERGY LEVELS; EXCITATION; FERMIONS; FIELD THEORY; HARTREE-FOCK METHOD; INTERACTIONS; MASS; MATHEMATICS; NUCLEONS; PARTICLE MODELS; QUANTUM MECHANICS; SELF-CONSISTENT FIELD; SELF-ENERGY; SUPERCONDUCTIVITY

Citation Formats

Nambu, Y., and Jona-Lasinio, G.. DYNAMICAL MODEL OF ELEMENTARY PARTICLES BASED ON AN ANALOGY WITH SUPERCONDUCTIVITY. PART I. Country unknown/Code not available: N. p., 1961. Web. doi:10.1103/PhysRev.122.345.
Nambu, Y., & Jona-Lasinio, G.. DYNAMICAL MODEL OF ELEMENTARY PARTICLES BASED ON AN ANALOGY WITH SUPERCONDUCTIVITY. PART I. Country unknown/Code not available. doi:10.1103/PhysRev.122.345.
Nambu, Y., and Jona-Lasinio, G.. Sat . "DYNAMICAL MODEL OF ELEMENTARY PARTICLES BASED ON AN ANALOGY WITH SUPERCONDUCTIVITY. PART I". Country unknown/Code not available. doi:10.1103/PhysRev.122.345.
@article{osti_4030631,
title = {DYNAMICAL MODEL OF ELEMENTARY PARTICLES BASED ON AN ANALOGY WITH SUPERCONDUCTIVITY. PART I},
author = {Nambu, Y. and Jona-Lasinio, G.},
abstractNote = {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 HartreeFock approximation which regards real nucleons as quasiparticle excitations. We consider a simplified model of nonlinear four-fermion interaction which allows a gamma /sub 5/-gauge group. An interesting consequence of the symmetry is that there arise automatically pseudoscalar zero-mass bound states of nucleon-antinucleon pnir 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 gamma /sub 5/ transformation are discussed in detail. (auth)},
doi = {10.1103/PhysRev.122.345},
journal = {Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D},
number = ,
volume = Vol: 122,
place = {Country unknown/Code not available},
year = {Sat Apr 01 00:00:00 EST 1961},
month = {Sat Apr 01 00:00:00 EST 1961}
}