Meson-baryon scattering in resummed baryon chiral perturbation theory using time-ordered perturbation theory

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.

arXiv comment15 pages, 2 figures

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Cited by in corpus (3)

• Regularisation in Nonperturbative Extensions of Effective Field Theory
• Effective field theory for shallow P-wave states
• The $\Lambda (1405)$ in resummed chiral effective field theory