The spectrum-generating group SO(3,2) applied to the radiative decays of the nucleon resonances

Thesis/Dissertation · Mon Jan 01 04:00:00 EST 1990

OSTI ID:7206004

Kmiecik, M A

A spectrum generating group contains operators which transform between the states of a physical system with different energy levels. This idea has been applied successfully in nuclear and molecular physics to predict spectra and decay rates. This dissertation applies the spectrum generating group approach to hadrons where the role of the energy levels is taken by the mass levels of various resonances. As the hadron resonances are relativistic systems, a relativistic oscillator model is constructed. This model does not use relativistic oscillator canonical commutation relations for the position and intrinsic momentum but commutation relations which are connected with the group SO(3,2) which serves as the relativistic spectrum generating group. The free relativistic Hamiltonian predicts the mass levels of the mesons and baryons. If electromagnetic interactions are introduced in this Hamiltonian in a well defined way, the model can be used to calculate radiative decays of the nucleon resonances. The predictions are compared with the experimental data and the results of other models.

• Research Organization: Texas Univ., Austin, TX (United States)
• OSTI ID: 7206004
• Country of Publication: United States
• Language: English

Related Subjects

662390* -- Electromagnetic Processes & Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
CALCULATION METHODS
COMMUTATION RELATIONS
COMPARATIVE EVALUATIONS
DECAY
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
EVALUATION
HADRONS
HAMILTONIANS
INTERACTIONS
LIE GROUPS
MASS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE DECAY
PARTICLE MODELS
QUANTUM OPERATORS
RADIATIVE DECAY
RESONANCE PARTICLES
SO GROUPS
SYMMETRY GROUPS