A coupled channel model of scattering with SO(3, 1) symmetry

P. Lévay, K. Amos

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)6637-6661
Number of pages25
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number34
DOIs
Publication statusPublished - Aug 31 2001

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Coupled Model
Channel Model
Scattering
Symmetry
Helicity
symmetry
Scattering Problems
Phase Shift
scattering
Wave functions
Phase shift
phase shift
Operator
operators
matrices

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

A coupled channel model of scattering with SO(3, 1) symmetry. / Lévay, P.; Amos, K.

In: Journal of Physics A: Mathematical and General, Vol. 34, No. 34, 31.08.2001, p. 6637-6661.

Research output: Contribution to journalArticle

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