https://doi.org/10.1140/epjc/s10052-020-7991-x
Regular Article - Theoretical Physics
Meson–baryon scattering in resummed baryon chiral perturbation theory using time-ordered perturbation theory
1
Ruhr University Bochum, Faculty of Physics and Astronomy, Institute for Theoretical Physics II, 44870, Bochum, Germany
2
Tbilisi State University, 0186, Tbilisi, Georgia
3
Helmholtz Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
4
Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany
* e-mail: xiulei.ren@rub.de
Received:
21
March
2020
Accepted:
29
April
2020
Published online:
12
May
2020
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.
© The Author(s), 2020
