Two-pion-exchange and other higher-order contributions to the $pp\to pp{\pi }^0$ reaction

Abstract

Much effort has been invested on effective-field-theoretical studies of the near-threshold NN \to NNπreactions and, in order to deal with the rather large three-momentum transfers involved, the momentum counting scheme was proposed as an alternative to the usual Weinberg counting scheme. To examine the practical utility of the momentum counting scheme, we study here the contributions of higher-order terms to the pp\to ppπ^0 reaction. We discuss the consequences of the different treatments of the nucleon propagators in these two counting schemes. We also investigate certain higher chiral-order pion-rescattering terms and the five-point counter-term, which turn out to give important contributions.

arXiv comment19 pages, 5 figures

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Cited by in corpus (9)

• p-Wave pion production from nucleon-nucleon collisions
• Towards a high precision calculation for the pion-nucleus scattering lengths
• Effective Field Theory calculations of $NN\to NN\pi$
• Pion production in nucleon-nucleon collisions in chiral effective field theory: next-to-next-to-leading order contributions
• Pion production in nucleon-nucleon collisions in chiral effective field theory with Delta(1232)-degrees of freedom
• Differential cross section and analysing power of the pp -> {pp\}_s pi0 reaction at 353 MeV
• Threshold pion production in proton-proton collisions at NNLO in chiral EFT
• Chiral perturbation theory calculation for pn -> dpipi at threshold
• Pion reactions with few-nucleon systems