Covariant four-dimensional scattering equations for the $NN-πNN$ system

Details Covariant four-dimensional scattering equations for the $NN-πNN$ system Covariant four-dimensional scattering equations for the $NN-πNN$ system

1995-02-23

arxiv.org/abs/nucl-th/9502040v3

Ann.Phys.247:19-77,1996

Physics

Nuclear Physics

Nuclear Theory

Version accepted for publication in ``Annals of Physics''. New section containing two new figures added. 58 pages, 20 figures.

Scientific paper

10.1006/aphy.1996.0037

We derive a set of coupled four-dimensional integral equations for the $NN-\pi NN$ 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 $NN-\pi NN$ 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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