Algebraic Structure of Superconvergence Relations

A general analysis of the matrix element of a vector current in the infinite-momentum frame is given. Use of some simple group-theoretical techniques is shown to be helpful in obtaining a multipole decomposition for the current. The forward-scattering superconvergence relations for vector mesons are then analyzed using these methods. Keeping only ΔJ=0,1, the first two terms in the multipole expansion, it is shown that these superconvergence relations lead to a covariant, collinear SU(3)×SU(3).