Forbidden Transitions in Pole Models with Unitary Symmetry
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 momentumindependent symmetrybreaking vertex and a symmetryconserving vertex with arbitrary form factors if either (1) all propagators are equal in magnitude and the matrix elements of the symmetrybreaking vertex are proportional to those of a generator of the symmetry group, or (2) the propagators involve only known mass differences described by the GellMannOkubo mass formula and the matrix elements of the symmetrybreaking vertex are described by the D coupling of three unitary octets. Applications to K decays and nonleptonic Σ decays are discussed.
 Publication:

Physical Review
 Pub Date:
 March 1965
 DOI:
 10.1103/PhysRev.137.B1561
 Bibcode:
 1965PhRv..137.1561L