Electromagnetic couplings of the chiral perturbation theory Lagrangian from the perturbative chiral quark model

2001/09/30 by V. E. Lyubovitskij, Valery E. Lyubovitskij, Th. Gutsche +2 · 2 citations
Physics and Astronomy · #Amplitude #Chiral anomaly #Chiral perturbation theory #High-Energy Particle Collisions Research #Isospin #Non-perturbative #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Photon #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Quark model #Scattering #Scattering amplitude #hep-ph

paper · pdf · doi:10.1103/physrevc.65.025202

published as Phys.Rev. C65 (2002) 025202 · 18 pages, 3 figures

arxiv created 2001/11/09 · openalex publication_date 2002/01/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We apply the perturbative chiral quark model to the study of the low-energy \ensuremathπN interaction. Using an effective chiral Lagrangian we reproduce the Weinberg-Tomozawa result for the S-wave \ensuremathπN scattering lengths. After inclusion of the photon field we give predictions for the electromagnetic O(p²) low-energy couplings of the chiral perturbation theory effective Lagrangian that define the electromagnetic mass shifts of nucleons and first-order (e²) radiative corrections to the \ensuremathπN scattering amplitude. Finally, we estimate the leading isospin-breaking correction to the strong energy shift of the \ensuremathπ^\ensuremath-p atom in the 1s state, which is relevant for the experiment ``pionic hydrogen'' at PSI.

Citations

• The axial vector current in beta decay
• Nonlinear Realizations of Chiral Symmetry
• Quark masses

Cited by

• Chiral susceptibility and chiral phase transition in Nambu–Jona-Lasinio model
• Strange nucleon form factors in the perturbative chiral quark model