Abstract
The unitary theory of pion-nucleus scattering based on the method of evolution of the system with respect to the coupling constant is presented. The consistency theory along with the unitarity provides a correct separation of the potential effects from the nonpotential (true pion absorption) effect. The basic equations are formulated for the direct calculation of the pion-nucleus phase shifts. An iterative solution of these equations that is rapidly convergent at low energies (below ~70 MeV) is considered. The results of a unified description of both the low-energy scattering data and the pionic atom data for 4He, 12C and 16O are presented. Strong influence of the pion absorption on the elastic scattering channel at low energies is demonstrated. It is shown that a unique set of parameters of the absorption correction fitted to pionic atom data provides a good quantitative description of the pion elastic scattering data at energies up to 50 MeV.
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