Covariant four-dimensional scattering equations for the NN-πNN system
D. R. Phillips, I. R. Afnan
Abstract
We derive a set of coupled four-dimensional integral equations for the NN-πNN system using our modified version of the Taylor method of classification-of-diagrams. These equations are covariant, obey two and three-body unitarity and contain subtraction terms which eliminate the double-counting present in some previous four-dimensional NN-πNN equations. The equations are then recast into a from convenient for computation by grouping the subtraction terms together and obtaining a set of two-fragment scattering equations for the amplitudes of interest.
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