
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