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

Subject Categories:

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

Distribution Statement:

APPROVED FOR PUBLIC RELEASE