Inelastic Contributions andD-Function Poles

Abstract

It is shown that the nonequivalence between the multichannel N${\mathrm{D}}^{\ensuremath{-}1}$ method and the one-channel $\frac{N}{D}$ method incorporating inelasticity can be advantageously exploited in a fully dynamical scheme. It is demonstrated that the $D$-function poles needed for equivalence can be generated out of the inelastic cuts and that the pole parameters may be calculated from models of multichannel scattering. The result is an effective one-channel $\frac{N}{D}$ method, applicable to a class of problems wherein the incorporated inelastic effects are dynamically calculable.