p-Wave pion production from nucleon-nucleon collisions

Abstract

We investigate p-wave pion production in nucleon-nucleon collisions up to next-to-next-to-leading order in chiral effective field theory. In particular, we show that it is possible to describe simultaneously the p-wave amplitudes in the $pn\to pp{\pi }^{-}$, $pp\to pn{\pi }^{+}$, $pp\to d{\pi }^{+}$ channels by adjusting a single low-energy constant accompanying the short-range operator which is available at this order. This study provides a non-trivial test of the applicability of chiral effective field theory to reactions of the type $NN\to NN\pi$.

29 pages, revised version published in PRC

References in corpus (10)

• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Chiral perturbation theory
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• Remarks on N N -> N N pi beyond leading order
• Neutron-neutron scattering length from the reaction gamma d --> pi^+ nn employing chiral perturbation theory
• Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory
• Chiral O(Q^4) two-body operators for s-wave pion photoproduction on the NN system
• Two-pion-exchange and other higher-order contributions to the $pp\to pp{\pi }^0$ reaction
• Advances in the field-theoretic understanding of pion production in nucleon-nucleon collisions

Cited by in corpus (20)

• Nuclear effective field theory: status and perspectives
• Nuclear axial current operators to fourth order in chiral effective field theory
• Pionic deuterium
• Extraction of the strong neutron-proton mass difference from the charge symmetry breaking in pn-->d pi0
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Effective Field Theory calculations of $NN\to NN\pi$
• Charge Symmetry Breaking in the n p --> d pi^0 reaction
• Heavy-particle formalism with Foldy-Wouthuysen representation
• 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 quasi-free pn -> {pp}_s pi- reaction at 353 MeV
• 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
• Impulse approximation in nuclear pion production reactions: absence of a one-body operator
• The Beauty of Spin
• Chiral perturbation theory calculation for pn -> dpipi at threshold
• Importance of d-wave contributions in the charge symmetry breaking reaction $dd\to {}^4\text{He}{\pi }^0$
• Phase ambiguity of the threshold amplitude in pp -> ppπ^0
• Pion reactions with few-nucleon systems
• Charge Symmetry Breaking and Nuclear Pion Production Reactions