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

Conference · Mon Oct 01 00:00:00 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
• DOE Contract Number: EY-76-S-05-3992
• OSTI ID: 5653130
• Report Number(s): ORO-3992-372; CONF-790246-1; TRN: 80-004815
• Resource Relation: Conference: Symposium on symmetries in science, Carbondale, IL, USA, Feb 1979
• Country of Publication: United States
• Language: English

Related Subjects

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