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Lensky, V. [Author]; Baru, V. [Author]; Haidenbauer, J. [Author]; Hanhart, C. [Author]; Kudryavtsev, A. E. [Author]; Meissner, U.G. [Author]

Towards a field theoretic understanding of N N to N N pi

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  • Media type: E-Article
  • Title: Towards a field theoretic understanding of N N to N N pi
  • Contributor: Lensky, V. [Author]; Baru, V. [Author]; Haidenbauer, J. [Author]; Hanhart, C. [Author]; Kudryavtsev, A. E. [Author]; Meissner, U.G. [Author]
  • imprint: Springer, 2006
  • Published in: The European physical journal / A 27, 37 (2006). doi:10.1140/epja/i2006-10002-4
  • Language: English
  • DOI: https://doi.org/10.1140/epja/i2006-10002-4
  • ISSN: 1434-6001
  • Keywords: p p --> deuteron pi+ ; nucleon nucleon: inelastic scattering ; nucleon nucleon: interaction ; p p: fusion ; deuteron: hadroproduction ; perturbation theory: chiral ; pi: hadroproduction ; nonperturbative ; nucleon nucleon --> 2nucleon pi ; numerical calculations: interpretation of experiments ; Feynman graph: higher-order ; perturbation theory: higher-order
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  • Description: We study the production amplitude for the reaction NN -> NN pi 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 wave functions 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 -> d pi(+) close to the experimental value.
  • Access State: Open Access