$\pi d$ scattering in the framework of three-particle relativistic equations

T. I. Kopaleishvili, A. I. Machavariani


Abstract: Three-particle quasipotential equations are applied to the $\pi d$-scattering problem. These equations are written down in the representation of total angular momentum and isospin of a system, taking into account the property of the indistinquishability of nucleons. In the separable model of pair interaction, a system of one-dimensional integral equations is obtained for partial transition matrices. The cross-sections for the elastic pion-deuteron scattering, scattering with the desintegration of the deuteron and charge exchange processes are expressed in terms of these matrices.

Received: 03.03.1976

 English version: Theoretical and Mathematical Physics, 1977, 30:2, 130–138