Symmetry properties of divergences of vector currents

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Abstract
The authors investigate the degree of validity of the octet dominance formulation of the partial conservation of vector currents. To this end, possible contributions transforming like a '27' representation of the SU(3) group are assumed for the divergences of vector currents, in addition to the 'octet' part represented by scalar mesons. Their magnitude is investigated by solving the equations for the divergences of vector currents with the aid of a perturbation expansion in lambda (SU(3) breaking) and e2(SU(2) breaking). It is shown that 'octet dominance' for the SU(3) breaking of the divergences of vector currents can be safely assumed only for certain transitions, while somewhat higher '27' contributions are encountered for other matrix elements as well as in the appropriate SU(2)-breaking case.