Towards a field theoretic understanding of NN->NNpi

Abstract

We study the production amplitude for the reaction NN->NNpi up to next--to--leading order in chiral perturbation theory using a counting scheme that takes into account the large scale introduced by the initial momentum. In particular we investigate a subtlety that arises once the leading loop contributions are convoluted with the NN wavefunctions as demanded by the non--perturbative nature of the NN interaction. We show how to properly identify the irreducible contribution of loop diagrams in such type of reaction. The net effect of the inclusion of all next-to-leading order loops is to enhance the leading rescattering amplitude by a factor of 4/3, bringing its contribution to the cross section for pp->dpi+ close to the experimental value.

15 Pages, 5 Figures

References in corpus (6)

• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Precision calculation of $\gamma d\to {\pi }^{+}nn$ within chiral perturbation theory
• The near threshold N N -> d pi reaction in chiral perturbation theory
• Partial-wave analysis of $\vec{p}\vec{p}\to pp{\pi }^{\circ }$ data
• Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction
• Charge independence studied in $NN\to d\pi$ reactions

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