Abstract
Sometime ago, Das, Mathur and Okubo1> derived and generalised Weinberg's spectral function sum rules1> for the vector and axial,vector currents, on the basis of the asymtotic properties of the propagation functions for the currents, as suggested by symmetry groups. It was noted, 3> however, that both the sum rules should not be used simultaneously as the results thus obtained were in disagreement with experiment. In this note we shall assume a modified form of the second sum rule corresponding to chiral SU (2) X SU (2) along with the first one in the original form. For SU(3) symmetry, we shall consider only the first sum rule. For the particular SU (2) X SU (2) subgroup of chiral SU (3) X SU (3) pertaining to the strangeness changing vector and axial-vector currents, the relations are:
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