One-loop analysis of the reaction πN→ππN

1999/07/08 by Nadia Fettes, Véronique Bernard, Ulf-G. Meißner · 5 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1016/s0375-9474(99)00367-x

published as Nucl.Phys. A669 (2000) 269-330 · 57 pp, LaTeX file, 13 figures (uses epsf)

arxiv created 1999/07/08 · openalex publication_date 2000/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Single pion production off nucleons is studied in the framework of heavy baryon chiral perturbation theory to third order in the chiral expansion. Using total and some older differential cross section data to pin down the low-energy constants, most of the recent differential cross sections and angular correlation functions can be described as well as total cross sections at higher energies. We show that the contributions from the one loop graphs are essentially negligible and that the dominant terms at second and third order are related to pion-nucleon scattering graphs with one pion added. We also discuss the possibility of extracting the pion-pion S-wave scattering lengths from the unpolarized data.

Citations

• Chiral perturbation theory to one loop
• Chiral Dynamics in Nucleons and Nuclei

Cited by

• The nucleon axial-vector coupling beyond one loop
• The reaction πN → ππN in a meson-exchange approach
• Effective field theory calculations of NN → NNπ
• The pion and proton mass in finite volume
• Quark mass dependence of nucleon mass and axial-vector coupling constant