SO(4,1) as a structure group of a fibre bundle and SO(3,2) as a relativistic spectrum-generating group. [Collective model]
Conference
·
OSTI ID:5294309
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
- OSTI ID:
- 5294309
- Report Number(s):
- ORO-3992-385; CONF-791157-2
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645303 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Strong Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DATA
DE SITTER GROUP
ELEMENTARY PARTICLES
FIELD THEORIES
GENERAL RELATIVITY THEORY
HADRONS
INFORMATION
LIE GROUPS
MASS
MASS FORMULAE
MATHEMATICAL MODELS
NUMERICAL DATA
PARTICLE MODELS
SO GROUPS
SYMMETRY GROUPS
THEORETICAL DATA
645303 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Strong Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DATA
DE SITTER GROUP
ELEMENTARY PARTICLES
FIELD THEORIES
GENERAL RELATIVITY THEORY
HADRONS
INFORMATION
LIE GROUPS
MASS
MASS FORMULAE
MATHEMATICAL MODELS
NUMERICAL DATA
PARTICLE MODELS
SO GROUPS
SYMMETRY GROUPS
THEORETICAL DATA