# A FUNDAMENTAL PARTICLE MODEL. Part II

## Abstract

A fundamental-particle model (E. van der Spuy, Nuclear Physics, 29: 400(1962)) is discussed. The model for baryons and mesons starts from a fundamental non-linear equation of motion for the field operator in the Heisenberg representation, with a formally symmetric self-interaction. Equations of motion are generated for particles and particle interactions from the equation of motion of the field by using the GAMMA -function formalism. The equation of motion of a single baryon is discussed; confining the analysis to the mass shells and the asymptotic domain, a solution is found. This equation of motion is then completely integrated in momentum space for pseudoscalar, vector, and pseudovector self-interaction terms. A method is discussed for finding the low- energy peripheral interaction of two baryons, from the fundamental equation. The vector and pseudovector types have explicitly velocity dependent terms, even in the lowest approximation. Possible conflicts between the demands of the low energy inter-action of two baryons, and the baryon self-energy problem are discussed. It appears possible that the origin of self-energy lies in a very short range self-interaction. Numerical computations of the baryon self-energy problem are exhibited for meson mass parameters. Possible cases of self- interaction are discussed. These give the nucleon andmore »

- Authors:

- Publication Date:

- Research Org.:
- Atomic Energy Board, Pretoria, South Africa; and Oak Ridge National Lab., Tenn.

- OSTI Identifier:
- 4824385

- NSA Number:
- NSA-16-022895

- Resource Type:
- Journal Article

- Journal Name:
- Nuclear Phys.

- Additional Journal Information:
- Journal Volume: Vol: 34; Other Information: Orig. Receipt Date: 31-DEC-62

- Country of Publication:
- Country unknown/Code not available

- Language:
- English

- Subject:
- PHYSICS; BARYONS; ELEMENTARY PARTICLES; ENERGY; EQUATIONS; FIELD THEORY; HEISENBERG REPRESENTATION; HYPERONS; INTERACTIONS; LAMBDA PARTICLES; MESONS; MOTION; NEUTRONS; NUCLEONS; NUMERICALS; PARTICLE MODELS; PERIPHERAL COLLISIONS; PROTONS; QUANTUM MECHANICS; SELF-ENERGY; STRONG INTERACTIONS; VECTORS

### Citation Formats

```
van der Spuy, E.
```*A FUNDAMENTAL PARTICLE MODEL. Part II*. Country unknown/Code not available: N. p., 1962.
Web. doi:10.1016/0029-5582(62)90226-2.

```
van der Spuy, E.
```*A FUNDAMENTAL PARTICLE MODEL. Part II*. Country unknown/Code not available. https://doi.org/10.1016/0029-5582(62)90226-2

```
van der Spuy, E. Fri .
"A FUNDAMENTAL PARTICLE MODEL. Part II". Country unknown/Code not available. https://doi.org/10.1016/0029-5582(62)90226-2.
```

```
@article{osti_4824385,
```

title = {A FUNDAMENTAL PARTICLE MODEL. Part II},

author = {van der Spuy, E},

abstractNote = {A fundamental-particle model (E. van der Spuy, Nuclear Physics, 29: 400(1962)) is discussed. The model for baryons and mesons starts from a fundamental non-linear equation of motion for the field operator in the Heisenberg representation, with a formally symmetric self-interaction. Equations of motion are generated for particles and particle interactions from the equation of motion of the field by using the GAMMA -function formalism. The equation of motion of a single baryon is discussed; confining the analysis to the mass shells and the asymptotic domain, a solution is found. This equation of motion is then completely integrated in momentum space for pseudoscalar, vector, and pseudovector self-interaction terms. A method is discussed for finding the low- energy peripheral interaction of two baryons, from the fundamental equation. The vector and pseudovector types have explicitly velocity dependent terms, even in the lowest approximation. Possible conflicts between the demands of the low energy inter-action of two baryons, and the baryon self-energy problem are discussed. It appears possible that the origin of self-energy lies in a very short range self-interaction. Numerical computations of the baryon self-energy problem are exhibited for meson mass parameters. Possible cases of self- interaction are discussed. These give the nucleon and LAMBDA -baryon masses, with the basic mass m/sub o/ = 0. In one case it is shown from the numerical results that the ghost mass appearing in the baryon propagator does not satisfy the asymptotic wave equation which the real masses do satisfy. It is further suggested that the leptons and the photon are associated with the notion of saturated compounds in the strong coupling theory. A strong coupling theory would then have the more massive strongly-interacting particles and the saturated compounds as lighter, weakly-interacting particles. A tentative sketch is given of a fundamental theory based on n, p, and LAMBDA in strong self-interaction, in which strongly interacting hyperons and mesons appear, as well as weaklyinteracting leptons and photons. (auth)},

doi = {10.1016/0029-5582(62)90226-2},

url = {https://www.osti.gov/biblio/4824385},
journal = {Nuclear Phys.},

number = ,

volume = Vol: 34,

place = {Country unknown/Code not available},

year = {1962},

month = {6}

}