Published August 31, 2001
| Version v1
Journal article
A coupled channel model of scattering with SO(3,1) symmetry
Creators
- 1. Department of Theoretical Physics, Institute of Physics, Technical University, Budapest (Hungary)
- 2. School of Physics, University of Melbourne, Parkville (Australia)
Description
An exactly solvable coupled channel scattering problem with SO(3,1) symmetry is presented describing the helicity scattering of a particle with spin s. It is shown that the coupled channel wavefunction is a matrix-valued function with definite group theoretical properties. The scattering phase shifts are calculated for the special values of s=1/2, 1 and 3/2 and the result for general s is conjectured. It is also demonstrated that for an algebraic description of this coupled channel problem both of the independent Casimir operators are needed. (author)
Availability note (English)
Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://www.iop.org/;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 34
- Journal Issue
- 34
- Journal Page Range
- p. 6637-6661
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 32066442
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CASIMIR OPERATORS; COUPLED CHANNEL THEORY; MATRICES; PHASE SHIFT; SCATTERING; SO-3 GROUPS; SPIN; SYMMETRY GROUPS
- Descriptors DEC
- ANGULAR MOMENTUM; LIE GROUPS; MATHEMATICAL OPERATORS; PARTICLE PROPERTIES; SO GROUPS; SYMMETRY GROUPS