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

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

2002-07-16

arxiv.org/abs/nucl-th/0207047v2

Phys.Rev. C66 (2002) 054002

Physics

Nuclear Physics

Nuclear Theory

14 pages, 6 figures

Scientific paper

10.1103/PhysRevC.66.054002

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.

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