Pion re-scattering in pi0 production

Details Pion re-scattering in pi0 production Pion re-scattering in pi0 production

2003-12-04

arxiv.org/abs/nucl-th/0312017v1

Phys.Rev. C69 (2004) 024001

Physics

Nuclear Physics

Nuclear Theory

30 pages, 11 figures; To appear in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.69.024001

This work discusses the approximations frequently used to calculate the contribution to pion production in proton-proton scattering near threshold from irreducible pion re-scattering. The reference result is obtained from the quantum mechanical reduction of the corresponding Feynman diagram to Time-Ordered Field Theory diagrams. We conclude that the Distorted Wave Born Approximation is quite adequate at threshold energies and even above. We discuss the choices for the energy of the exchanged pion, both for its propagator and for the piN amplitude describing the re-scattering vertex. The calculation employs a physical model for nucleons and pions -- pseudo-vector coupling for the piNN vertex and realistic amplitudes for the piN re-scattering and for the NN transitions in the initial and final states.

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