Hard-kaon and -pion calculations of the decays K A → K ϱ and [formula omitted

Abstract

The strong decays K A → K ϱ, K ∗π are discussed in a current algebra approach by writing unsubtracted dispersion relations for the matrix elements of appropriate retarded commutators of currents or current divergences between single-particle states and vacuum, at (arbitrary) fixed linear combination of the two momentum transfers. This enables us to retain the pole contributions from both the variables. Moreover, the various form factors appearing in the calculation are allowed to satisfy at most once-subtracted dispersion relations and are treated on equal footing. The current algebra method is used to set up sum rules among the coupling constants and the subtraction constants without using the hypothesis of partial conservation of axial current. Their solution allows us to calculate the partial-decay widths as well as the Weinberg sum rules are rederived as self consistency conditions.