Electromagnetic couplings of the ChPT Lagrangian from the perturbative chiral quark model

Abstract

We apply the perturbative chiral quark model to the study of the low-energy pi-N interaction. Using an effective chiral Lagrangian we reproduce the Weinberg-Tomozawa result for the S-wave pi-N scattering lengths. After inclusion of the photon field we give predictions for the electromagnetic O(p^2) low-energy couplings of the chiral perturbation theory effective Lagrangian that define the electromagnetic mass shifts of nucleons and first-order (e^2) radiative corrections to the pi-N scattering amplitude. Finally, we estimate the leading isospin-breaking correction to the strong energy shift of the pi(-)p atom in the 1s state, which is relevant for the experiment "Pionic Hydrogen" at PSI.

18 pages, 3 figures

References in corpus (2)

• Low energy analysis of pi N --> pi N
• Electromagnetic Structure of the Nucleon in the Perturbative Chiral Quark Model

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