Accession Number : AD0657959

Title :   DYNAMICAL THEORY OF BARYONS AND LEPTONS,

Corporate Author : MIAMI UNIV CORAL GABLES FLA CENTER FOR THEORETICAL STUDIES

Personal Author(s) : Kursunoglu,Behram

Report Date : AUG 1967

Pagination or Media Count : 57

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 SU(3,1) 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 1/2 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 SU(3,1). It is invariant under G = SL(2,C) x SU(3,1) x 'L' transformations, where the direct product contains the Lorentz group 'L'. (Author)

Descriptors :   (*BARYONS, FIELD THEORY), (*LEPTONS, FIELD THEORY), MASS SPECTRA, WAVE FUNCTIONS, NEUTRONS, GROUPS(MATHEMATICS), OPERATORS(MATHEMATICS), NUCLEAR SPINS

Subject Categories : Nuclear Physics & Elementary Particle Physics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE