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Forbidden Transitions in Pole Models with Unitary Symmetry

Forbidden Transitions in Pole Models with Unitary Symmetry Two selection rules are derived which explain vanishing transition matrix elements found for many processes. A decay is forbidden in a pole model having a momentum-independent symmetry-breaking vertex and a symmetry-conserving vertex with arbitrary form factors if either (1) all propagators are equal in magnitude and the matrix elements of the symmetry-breaking vertex are proportional to those of a generator of the symmetry group, or (2) the propagators involve only known mass differences described by the Gell-Mann-Okubo mass formula and the matrix elements of the symmetry-breaking vertex are described by the D coupling of three unitary octets. Applications to K decays and nonleptonic Σ decays are discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

Forbidden Transitions in Pole Models with Unitary Symmetry

Physical Review , Volume 137 (6B) – Mar 22, 1965
5 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1965 The American Physical Society
ISSN
1536-6065
DOI
10.1103/PhysRev.137.B1561
Publisher site
See Article on Publisher Site

Abstract

Two selection rules are derived which explain vanishing transition matrix elements found for many processes. A decay is forbidden in a pole model having a momentum-independent symmetry-breaking vertex and a symmetry-conserving vertex with arbitrary form factors if either (1) all propagators are equal in magnitude and the matrix elements of the symmetry-breaking vertex are proportional to those of a generator of the symmetry group, or (2) the propagators involve only known mass differences described by the Gell-Mann-Okubo mass formula and the matrix elements of the symmetry-breaking vertex are described by the D coupling of three unitary octets. Applications to K decays and nonleptonic Σ decays are discussed.

Journal

Physical ReviewAmerican Physical Society (APS)

Published: Mar 22, 1965

There are no references for this article.