Precision calculation of $\gamma d\to {\pi }^{+}nn$ within chiral perturbation theory

Abstract

The reaction $\gamma d\to {\pi }^{+}nn$ is calculated up to order ${\chi }^{5/2}$ in chiral perturbation theory, where $\chi$ denotes the ratio of the pion to the nucleon mass. Special emphasis is put on the role of nucleon--recoil corrections that are the source of contributions with fractional power in $\chi$. Using the known near threshold production amplitude for $\gamma p\to {\pi }^{+}n$ as the only input, the total cross section for $\gamma d\to {\pi }^{+}nn$ is described very well. A conservative estimate suggests that the theoretical uncertainty for the transition operator amounts to 3 % for the computed amplitude near threshold.

28 pages

References in corpus (2)

• The pion-nucleon scattering lengths from pionic deuterium
• Explicit Delta(1232) Degrees of Freedom in Compton Scattering off the Deuteron

Cited by in corpus (41)

• Modern Theory of Nuclear Forces
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Coupled-channel approach to $T_{cc}^{+}$ including three-body effects
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• Towards a field theoretic understanding of NN->NNpi
• Remarks on the study of the X(3872) from Effective Field Theory with Pion-Exchange Interaction
• Incoherent pion photoproduction on the deuteron with polarization observables II: Influence of final state rescattering
• Proton-proton fusion in pionless effective theory
• Extracting the neutron-neutron scattering length -- recent developments
• Extracting the photoproduction cross section off the neutron gn-->pi-p from deuteron data with FSI effects
• The long and winding road from chiral effective Lagrangians to nuclear structure
• p-Wave pion production from nucleon-nucleon collisions
• The role of nucleon recoil in low-energy antikaon-deuteron scattering
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• Using chiral perturbation theory to extract the neutron-neutron scattering length from pi- d -> n n gamma
• Towards a high precision calculation for the pion-nucleus scattering lengths
• Effective Field Theory calculations of $NN\to NN\pi$
• Can one extract the pi-neutron scattering length from pi-deuteron scattering?
• Recoil corrections in antikaon-deuteron scattering
• Neutron-neutron scattering length from the reaction gamma d --> pi^+ nn employing chiral perturbation theory
• The nucleon-nucleon potential beyond the static approximation
• Analyzing the Effects of Neutron Polarizabilities in Elastic Compton Scattering off ${}^3$He
• On the Photoproduction Reactions $\gamma d\to \pi NN$
• Differential cross section and analysing power of the quasi-free pn -> {pp}_s pi- reaction at 353 MeV
• Chiral O(Q^4) two-body operators for s-wave pion photoproduction on the NN system
• Near-threshold ${\pi }^{-}$ photoproduction on the deuteron
• Description of $\rho (1700)$ as a $\rho K\bar{K}$ system with the fixed center approximation
• Measurement of spin observables in the quasi-free np-> {pp}_s pi- reaction at 353 MeV
• An update of muon capture on hydrogen
• Pion reactions on two--nucleon systems
• Investigations of the $D$-multi-$\rho$ interactions
• States generated in the $K$-multi-$\rho$ interactions
• Pole analysis for the $D^{\ast }\bar{K}$-$D\overline{K^{\ast }}$ coupled-channel system
• Pion absorption from the lowest atomic orbital in 2H, 3H and 3He
• Pion reactions with few-nucleon systems
• Non-Strange Meson Production with Hadronic Probes
• The piNN system - recent progress