# Weak interaction of leptons and quarks in the quaternionic model

## Abstract

A gauge theory of quaternionic fields of spin 0, 1/2, and 1 is constructed in order to obtain a unified description of the weak and electromagnetic interactions of quarks and leptons. Just as the complex field in the Lagrangian is associated with the presence of the electric charge in the theory, the quaternionic field corresponds to an ''electroweak'' charge whose components form the SU(2)xU(1) algebra. The theory predicts a minimum of eight quarks (leptons) in the form of pairs of quartets of light and heavy particles and in addition to the neutral Higgs scalar h/sup 0/ it also contains a complex doublet of scalars (/sup H//sup +//sub H//sup 0/). The GIM structure comes about naturally in the quark quartets and all the Glashow-Weinberg conditions for the natural conservation of quark flavors are satisfied. In the sector of the ''light'' quarks u, d, s, and c there is CP violation at the vertices of the interaction of the charged bosons H/sup + -/ with the scalar quark currents. Because of the additional left-right symmetry of the Yukawa potential in the theory it is possible to calculate the Cabibbo angle and obtain good agreement with experiment.

- Authors:

- Publication Date:

- Research Org.:
- Institute of Physics, Academy of Sciences of the Georgian SSR

- OSTI Identifier:
- 5474473

- Resource Type:
- Journal Article

- Journal Name:
- Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

- Additional Journal Information:
- Journal Volume: 34:2

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LEPTONS; WEAK INTERACTIONS; QUARKS; CABIBBO ANGLE; CP INVARIANCE; HIGGS BOSONS; SU-2 GROUPS; UNIFIED MODEL; YUKAWA POTENTIAL; BASIC INTERACTIONS; BOSONS; ELEMENTARY PARTICLES; FERMIONS; INTERACTIONS; INTERMEDIATE BOSONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; NUCLEAR MODELS; NUCLEAR POTENTIAL; POSTULATED PARTICLES; POTENTIALS; SU GROUPS; SYMMETRY GROUPS; 645400* - High Energy Physics- Field Theory; 645203 - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties; 645202 - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties

### Citation Formats

```
Chkareuli, J L.
```*Weak interaction of leptons and quarks in the quaternionic model*. United States: N. p., 1981.
Web.

```
Chkareuli, J L.
```*Weak interaction of leptons and quarks in the quaternionic model*. United States.

```
Chkareuli, J L. Sat .
"Weak interaction of leptons and quarks in the quaternionic model". United States.
```

```
@article{osti_5474473,
```

title = {Weak interaction of leptons and quarks in the quaternionic model},

author = {Chkareuli, J L},

abstractNote = {A gauge theory of quaternionic fields of spin 0, 1/2, and 1 is constructed in order to obtain a unified description of the weak and electromagnetic interactions of quarks and leptons. Just as the complex field in the Lagrangian is associated with the presence of the electric charge in the theory, the quaternionic field corresponds to an ''electroweak'' charge whose components form the SU(2)xU(1) algebra. The theory predicts a minimum of eight quarks (leptons) in the form of pairs of quartets of light and heavy particles and in addition to the neutral Higgs scalar h/sup 0/ it also contains a complex doublet of scalars (/sup H//sup +//sub H//sup 0/). The GIM structure comes about naturally in the quark quartets and all the Glashow-Weinberg conditions for the natural conservation of quark flavors are satisfied. In the sector of the ''light'' quarks u, d, s, and c there is CP violation at the vertices of the interaction of the charged bosons H/sup + -/ with the scalar quark currents. Because of the additional left-right symmetry of the Yukawa potential in the theory it is possible to calculate the Cabibbo angle and obtain good agreement with experiment.},

doi = {},

url = {https://www.osti.gov/biblio/5474473},
journal = {Sov. J. Nucl. Phys. (Engl. Transl.); (United States)},

number = ,

volume = 34:2,

place = {United States},

year = {1981},

month = {8}

}