Two-pion-exchange contributions to the pp\to ppπ^0 reaction

Abstract

Our previous study of the near-threshold pp\to ppπ^0 reaction based on a hybrid nuclear effective field theory is further elaborated by examining the momentum dependence of the relevant transition operators. We show that the two-pion exchange diagrams give much larger contributions than the one-pion exchange diagram, even though the former is of higher order in the Weinberg counting scheme. The relation between our results and an alternative counting scheme, the momentum counting scheme, is also discussed.

arXiv comment11 pages, minor change, a few references are added

References in corpus (23)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Construction of high-quality Nucleon-Nucleon potential models
• Effective Field Theory for Few-Nucleon Systems
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Meson production in nucleon--nucleon collisions close to the threshold
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• The $pp\to pp{\pi }^0$ Reaction near Threshold: A Chiral Power Counting Approach
• Towards a field theoretic understanding of NN->NNpi
• Role of heavy-meson exchange in pion production near threshold
• Chiral Perturbation Approach to the pp -> pp pi0 Reaction Near Threshold
• Effective theory for the two-nucleon system
• Complete next-to-leading order calculation for pion production in nucleon-nucleon collisions at threshold
• Chiral Perturbation Theory and the pp -> pp pi0 Reaction Near Threshold
• Low-momentum effective theory for nucleons
• Towards a consistent approach to nuclear structure: EFT of two- and many-body forces
• The Solar $Hep$ Process
• A next-to-next-to-leading-order $pp\to pp{\pi }^0$ transition operator in chiral perturbation theory
• Threshold $pp\to pp{\pi }^0$ up to one-loop accuracy
• The near threshold N N -> d pi reaction in chiral perturbation theory
• Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction

Cited by in corpus (7)

• Effective Field Theory calculations of $NN\to NN\pi$
• Remarks on N N -> N N pi beyond leading order
• $pp\to pp{\pi }^0$ near threshold in pionless effective theory
• Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory
• Differential cross section and analysing power of the pp -> {pp\}_s pi0 reaction at 353 MeV
• Two-pion-exchange and other higher-order contributions to the $pp\to pp{\pi }^0$ reaction
• Threshold pion production in proton-proton collisions at NNLO in chiral EFT