# Accession Number:

## AD0657959

# Title:

## DYNAMICAL THEORY OF BARYONS AND LEPTONS,

# Descriptive Note:

# Corporate Author:

## MIAMI UNIV CORAL GABLES FLA CENTER FOR THEORETICAL STUDIES

# Personal Author(s):

# Report Date:

## 1967-08-01

# Pagination or Media Count:

## 57.0

# Abstract:

The paper is an attempt for a dynamical description of baryons and leptons by the same wave equation yielding different mass spectra for each one of them. The wave equation leads to the following results 1 mass spectra for leptons and baryons represented by orthogonal states in the form of singlets and doublets, 2 a third neutrino along with a third neutral lepton are predicted, 3 the group SU3,1 assumes the role of an internal symmetry group thus pointing to the possibility of space time origin of internal symmetries. The theory is obtained from a classical non-linear Born-Infeld type Lagrangian depending on the field variables E and H and only the wave equation for spin 12 particles is discussed. In this approach the field itself is treated as a wave function and therefore a way is found to get rid of Born type square root. The wave equation involves, besides Dirac matrices, the 15 six-dimensional generators of the group SU3,1. It is invariant under G SL2,C x SU3,1 x L transformations, where the direct product contains the Lorentz group L. Author

# Descriptors:

# Subject Categories:

- Nuclear Physics and Elementary Particle Physics
- Quantum Theory and Relativity