Accession Number : AD0655926

Title :   DERIVATION OF MASS SPECTRUM AND MAGNETIC MOMENTS FROM CURRENT CONSERVATION IN RELATIVISTIC 0(3,1) AND 0(4,2) - THEORIES,

Corporate Author : COLORADO UNIV BOULDER DEPT OF PHYSICS

Personal Author(s) : Barut,A. O. ; Corrigan,Dennis ; Kleinert,Hagen

Report Date : 1967

Pagination or Media Count : 30

Abstract : It is shown that in the framework of the noncompact dynamical group theory, for every choice of the current operator in the representation space, the requirements of current conservation and universality of charge determine the relativistic mass spectrum. The most general current linear in the algebra and linear in the momenta are investigated and mass spectra of the form m = C(j + 1/2), in 0(3,1), and of the form m = Cn, or m = Cn((1 + a/(n sq.)) to the 1/2 power in 0(4,2) are derived with positive magnetic moments and with form factors in agreement with experiment. The freedom in the choice of current, minimal or nonminimal, is discussed and compared with that which exists in the usual Langrangian field theory. (Author)

Descriptors :   (*ELEMENTARY PARTICLES, GROUPS(MATHEMATICS)), MASS SPECTRA, MAGNETIC MOMENTS, NUCLEAR RESONANCE, INVARIANCE, VECTOR ANALYSIS, OPERATORS(MATHEMATICS), WAVE FUNCTIONS

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

Distribution Statement : APPROVED FOR PUBLIC RELEASE