Toy Model for Pion Production II: The role of three-particle singularities

Abstract

The influence of three-particle breakup singularities on s-wave meson production in nucleon-nucleon collisions is studied within the distorted wave Born approximation. This study is based on a simple scalar model for the two-nucleon interaction and the production mechanism. An algorithm for the exact numerical treatment of the inherent three-body cuts, together with its straightforward implementation is presented. It is also shown that two often-used approximations to avoid the calculation of the three-body breakup are not justified. The possible impact on pion production observables is discussed.

14 pages, 6 figures

References in corpus (6)

• Chiral Three-Nucleon Forces from p-wave Pion Production
• Polarization phenomena in the reaction NN to NNpi near threshold
• Toy Model for Pion Production in Nucleon-Nucleon Collisions
• Spin correlations in $\vec{p}\vec{p}\to pn{\pi }^{+}$ pion production near threshold
• The Role of Meson Retardation in the NN Interaction above Pion Threshold
• Meson exchange models for Meson production

Cited by in corpus (9)

• Meson production in nucleon--nucleon collisions close to the threshold
• Towards a field theoretic understanding of NN->NNpi
• A gauge invariant chiral unitary framework for kaon photo- and electroproduction on the proton
• Production of eta mesons in nucleon-nucleon collisions
• Pion re-scattering in pi0 production
• Pion re-scattering operator in the S-matrix approach
• Role of the low-lying nucleon resonances in the $p\bar{p}\to \psi \eta$ reaction
• Charged and neutral pion production in the S-matrix approach
• Consistency between renormalization group running of chiral operator and counting rule -- Case of chiral pion production operator --