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Pion re-scattering operator in the S-matrix approach

arXiv:nucl-th/0411049 · doi:10.1103/PhysRevC.71.034002

Abstract

The pion re-scattering operator for pion production, derived recently in time-ordered perturbation theory, is compared with the one following from the simple S-matrix construction. We show that this construction is equivalent to the on-shell approximation introduced in previous papers. For a realistic NN interaction, the S-matrix approach, and its simplified fixed threshold-kinematics version, work well near threshold.

17 pages, 7 figures