A next-to-next-to-leading-order $pp\to pp{\pi }^0$ transition operator in chiral perturbation theory

Abstract

We present a systematic analysis of next-to-next-to-leading-order diagrams that contribute to the $pp\to pp{\pi }^0$ production at threshold. Analytic expressions are given for the effective transition operators, and the relative importance of various types of diagrams is discussed. The vertex-correction-type graphs are found to give only small corrections to lower order graphs in conformity with expectations. By contrast, we find very large contributions from the two-pion graphs which can be interpreted as a part of effective $\sigma$-meson exchange diagrams. The recoil correction to the pion rescattering diagram also turns out to be large.

15 pages, 6 (eps) figures, corrected the sign of type VII graph in Table II, changed one sentence in the text accordingly

References in corpus (6)

• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Role of the $\Delta$ isobar in the reaction $NN\to NN\pi$ near threshold
• Chiral Perturbation Theory and the pp -> pp pi0 Reaction Near Threshold
• The reactions $pp\to pp{\pi }^0$ and $pp\to d{\pi }^{+}$ at threshold: The role of the isoscalar $\pi N$ scattering amplitude
• Effects of Relativistic Dynamics in $pp\to pp{\pi }^0$ near Threshold

Cited by in corpus (25)

• Chiral Three-Nucleon Forces from p-wave Pion Production
• Towards a field theoretic understanding of NN->NNpi
• Complete next-to-leading order calculation for pion production in nucleon-nucleon collisions at threshold
• Survey of charge symmetry breaking operators for dd -> alpha pi0
• p-Wave pion production from nucleon-nucleon collisions
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• Towards a high precision calculation for the pion-nucleus scattering lengths
• Threshold $pp\to pp{\pi }^0$ up to one-loop accuracy
• The near threshold N N -> d pi reaction in chiral perturbation theory
• Effective Field Theory calculations of $NN\to NN\pi$
• Remarks on N N -> N N pi beyond leading order
• Toy Model for Pion Production in Nucleon-Nucleon Collisions
• Pion production in nucleon-nucleon collisions in chiral effective field theory: next-to-next-to-leading order contributions
• $pp\to pp{\pi }^0$ near threshold in pionless effective theory
• Pion production in nucleon-nucleon collisions in chiral effective field theory with Delta(1232)-degrees of freedom
• Two-pion-exchange and other higher-order contributions to the $pp\to pp{\pi }^0$ reaction
• Initial-State Coulomb Interaction in the dd -> alpha pi^0 Reaction
• Nucleon-nucleon interaction: Central potential and pion production
• Two-pion-exchange contributions to the pp\to ppπ^0 reaction
• Threshold pion production in proton-proton collisions at NNLO in chiral EFT
• Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction
• Chiral perturbation theory calculation for pn -> dpipi at threshold
• Pion absorption from the lowest atomic orbital in 2H, 3H and 3He
• Consistency between renormalization group running of chiral operator and counting rule -- Case of chiral pion production operator --
• Non-Strange Meson Production with Hadronic Probes