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

Abstract

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)

Authors:
Publication Date:
Research Org.:
Texas Univ., Austin (USA). Dept. of Physics
OSTI Identifier:
5653130
Report Number(s):
ORO-3992-372; CONF-790246-1
TRN: 80-004815
DOE Contract Number:  
EY-76-S-05-3992
Resource Type:
Conference
Resource Relation:
Conference: Symposium on symmetries in science, Carbondale, IL, USA, Feb 1979
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Bohm, A. de Sitter fibers and SO(3,2) spectrum generating group for hadrons. United States: N. p., 1979. Web. doi:10.1007/978-1-4684-3833-8_6.
Bohm, A. de Sitter fibers and SO(3,2) spectrum generating group for hadrons. United States. https://doi.org/10.1007/978-1-4684-3833-8_6
Bohm, A. 1979. "de Sitter fibers and SO(3,2) spectrum generating group for hadrons". United States. https://doi.org/10.1007/978-1-4684-3833-8_6. https://www.osti.gov/servlets/purl/5653130.
@article{osti_5653130,
title = {de Sitter fibers and SO(3,2) spectrum generating group for hadrons},
author = {Bohm, A.},
abstractNote = {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)},
doi = {10.1007/978-1-4684-3833-8_6},
url = {https://www.osti.gov/biblio/5653130}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Oct 01 00:00:00 EDT 1979},
month = {Mon Oct 01 00:00:00 EDT 1979}
}

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