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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.
Physical Review – American Physical Society (APS)
Published: Mar 22, 1965
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