de Sitter fibers and SO(3,2) spectrum generating group for hadrons

Conference · Mon Oct 01 04:00:00 EDT 1979

DOI:https://doi.org/10.1007/978-1-4684-3833-8_6· OSTI ID:5653130

Bohm, A.

Ideas of general relativity theory are applied to hadron physics. A vague description of Drechsler's de Sitter fiber bundle is given first, followed by a brief review of Biedenharn and van Dam's dynamical stability group, which functions as a spectrum-generating group. The theory presented can be understood as a combination of the two above proposals: the system which this theory describes is called the rigid relativistic rotator. This idea is slightly generalized by allowing for a discrete number of radii of the de Sitter fibers instead of one radius, which can be interpreted as taking for the de Sitter radius an operator with discrete spectrum instead of a number, and by taking-instead of Biedenharn and van Dam's representations of SO(3,2)--a more complicated representation. This generalization is the general relativistic rotator. The particle spectrum of this de Sitter rotator is then compared with the experimental data on experimental evidence for the de Sitter spectrum. 2 figures, 1 table. (RWR)

• Research Organization: Texas Univ., Austin (USA). Dept. of Physics
• OSTI ID: 5653130
• Report Number(s): ORO-3992-372; CONF-790246-1
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DATA
DATA FORMS
DE SITTER GROUP
ELEMENTARY PARTICLES
FIELD THEORIES
GENERAL RELATIVITY THEORY
HADRONS
INFORMATION
ISOLATED VALUES
LIE GROUPS
MASS SPECTRA
NUMERICAL DATA
SO GROUPS
SPECTRA
SYMMETRY GROUPS
THEORETICAL DATA