Complete next-to-leading order calculation for pion production in nucleon-nucleon collisions at threshold

Abstract

Based on a counting scheme that explicitly takes into account the large momentum sqrt(M m_pi) characteristic for pion production in nucleon-nucleon collisions we calculate all diagrams for the reaction NN --> NN pi at threshold up to next-to-leading order. At this order there are no free parameters and the size of the next-to-leading order contributions is in line with the expectation from power counting. The sum of loop corrections at that order vanishes for the process pp --> pp pi^0 at threshold. The total contribution at next-to-leading order from loop diagrams that include the delta degree of freedom vanishes at threshold in both reaction channels pp --> pp pi^0, pn pi^+.

9 pages, 4 figures

References in corpus (3)

• Chiral Three-Nucleon Forces from p-wave Pion Production
• The N N -> NN pi+ Reaction near Threshold in a Chiral Power Counting Approach
• Threshold $pp\to pp{\pi }^0$ up to one-loop accuracy

Cited by in corpus (41)

• Modern Theory of Nuclear Forces
• Electromagnetic excitation of the Delta(1232)-resonance
• Chiral Perturbation Theory and Baryon Properties
• Meson production in nucleon--nucleon collisions close to the threshold
• Charge Symmetry Breaking and QCD
• Towards a field theoretic understanding of NN->NNpi
• Pionic deuterium
• Survey of charge symmetry breaking operators for dd -> alpha pi0
• Extraction of the strong neutron-proton mass difference from the charge symmetry breaking in pn-->d pi0
• p-Wave pion production from nucleon-nucleon collisions
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• Realistic Few-Body Physics in the $dd\to \alpha {\pi }^0$ Reaction
• Towards a high precision calculation for the pion-nucleus scattering lengths
• The near threshold N N -> d pi reaction in chiral perturbation theory
• Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory
• Effective Field Theory calculations of $NN\to NN\pi$
• Remarks on N N -> N N pi beyond leading order
• The nucleon-nucleon potential beyond the static approximation
• 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
• Partial-wave analysis of $\vec{p}\vec{p}\to pp{\pi }^{\circ }$ data
• 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
• Two-pion-exchange contributions to the pp\to ppπ^0 reaction
• $P$-wave dibaryon resonances in $pp$ elastic scattering and near-threshold pion production
• Threshold pion production in proton-proton collisions at NNLO in chiral EFT
• Measurement of spin observables in the quasi-free np-> {pp}_s pi- reaction at 353 MeV
• 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
• Anisotropy in the pion angular distribution of the reaction pp -> pp pi0 at 400 MeV
• Pion re-scattering in pi0 production
• Advances in the field-theoretic understanding of pion production in nucleon-nucleon collisions
• Impulse approximation in the n p --> d pi^0 reaction reexamined
• Differential cross section and analyzing power of the $\vec{p}p\to pp{\pi }^0$ reaction at a beam energy of 390 MeV
• Charged and neutral pion production in the S-matrix approach
• Pion absorption from the lowest atomic orbital in 2H, 3H and 3He
• Non-Strange Meson Production with Hadronic Probes
• Pion reactions with few-nucleon systems
• The role of the $\Delta (1232)$-resonance in covariant baryon chiral perturbation theory
• Charge Symmetry Breaking and Nuclear Pion Production Reactions