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Towards a field theoretic understanding of NN->NNpi

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arxiv nucl-th/0511054 v1 pith:F3NSSQER submitted 2005-11-21 nucl-th hep-phnucl-ex

Towards a field theoretic understanding of NN->NNpi

classification nucl-th hep-phnucl-ex
keywords amplitudecontributionleadingloopnnpiorderreactionaccount
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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