2020/03/31 by X. -L. Ren, X.-L. Ren, E. Epelbaum +2
Physics and Astronomy · #Amplitude #Baryon #Chiral perturbation theory #High-Energy Particle Collisions Research #Integral equation #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Scattering #Scattering amplitude #Scattering theory #hep-ph #nucl-th
paper · pdf · doi:10.1140/epjc/s10052-020-7991-x
published as Eur. Phys. J. C 80 (2020) 406 · 15 pages, 2 figures
openalex created_date 2020/03/23 · openalex publication_date 2020/05/01 · arxiv created 2020/05/15 · arxiv updated 2020/05/18 · openalex updated_date 2026/08/05
Abstract Integral equations for meson–baryon scattering amplitudes are obtained by utilizing time-ordered perturbation theory for a manifestly Lorentz-invariant formulation of baryon chiral perturbation theory. Effective potentials are defined as sums of two-particle irreducible contributions of time-ordered diagrams and the scattering amplitudes are obtained as solutions of integral equations. Ultraviolet renormalizability is achieved by solving integral equations for the leading order amplitude and including higher order corrections perturbatively. As an application of the developed formalism, pion-nucleon scattering is considered.