SO(4,1) as a structure group of a fibre bundle and SO(3,2) as a relativistic spectrum-generating group. [Collective model]
A collective model for hadrons is presented that has two aspects: the description of nonlocal objects and the construction of spectrum-generating groups in a relativistic theory. The experimental data for this model are the mass and spin spectrum of hadron towers; each tower is characterized by a system constant ..cap alpha... The mass formula derived is m/sup 2/ = lambda/sup 2/(..cap alpha../sup 2/ - 9/4) + lambda/sup 2/s(s+1), where R = 1/lambda is the radius of micro-de Sitter spaces. The subject is treated under the following topics: relativistic spectrum-generating SO(3,2); nonlocal objects and SO(4,1); the SO(4,1) constraint relation for the relativistic spectrum-generating SO(3,2); and generalization of the remarkable representation and generalization of the de Sitter fiber bundle - the general relativistic rotator. 1 figure, 1 table. (RWR)
- Research Organization:
- Texas Univ., Austin (USA). Center for Particle Theory
- DOE Contract Number:
- AS02-76ER03992
- OSTI ID:
- 5294309
- Report Number(s):
- ORO-3992-385; CONF-791157-2; TRN: 80-011831
- Resource Relation:
- Conference: Conference on group theoretical methods in physics, Zvenigorod, USSR, 28 Nov 1979
- Country of Publication:
- United States
- Language:
- English
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HADRONS
MASS FORMULAE
PARTICLE MODELS
SO GROUPS
DE SITTER GROUP
GENERAL RELATIVITY THEORY
MASS
THEORETICAL DATA
DATA
ELEMENTARY PARTICLES
FIELD THEORIES
INFORMATION
LIE GROUPS
MATHEMATICAL MODELS
NUMERICAL DATA
SYMMETRY GROUPS
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