# 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- Journal Name: Physical Review (U.S.) Superseded in part by Phys.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}

}