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 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 gamma /sub 5/gauge group. An interesting consequence of the symmetry is that there arise automatically pseudoscalar zeromass bound states of nucleonantinucleon 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 pionnucleon 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:
 NSA15016339
 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 Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 31DEC61
 Country of Publication:
 Country unknown/Code not available
 Language:
 English
 Subject:
 PHYSICS; ATOMIC MODELS; BINDING ENERGY; ELEMENTARY PARTICLES; ENERGY LEVELS; EXCITATION; FERMIONS; FIELD THEORY; HARTREEFOCK METHOD; INTERACTIONS; MASS; MATHEMATICS; NUCLEONS; PARTICLE MODELS; QUANTUM MECHANICS; SELFCONSISTENT FIELD; SELFENERGY; SUPERCONDUCTIVITY
Citation Formats
Nambu, Y., and JonaLasinio, 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., & JonaLasinio, 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 JonaLasinio, G. 1961.
"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 JonaLasinio, G.},
abstractNote = {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 gamma /sub 5/gauge group. An interesting consequence of the symmetry is that there arise automatically pseudoscalar zeromass bound states of nucleonantinucleon 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 pionnucleon 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 = 1961,
month = 4
}

Continuing the program developed in a previous paper, a "superconductive" solution describing the protonneutron doublet is obtained from a nonlinear spinor field Lagrangian. The pions of finite mass are found as nucleonantinucleon bound states by introducing a small bare mass into the Lagrangian which otherwise possesses a certain type of the gamma /sub 5/ invariance. In addition, heavier mesons and twonucleon 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 electronneutrino field, and further speculations are made concerning the complete description ofmore »