Probing the convergence of perturbative series in baryon chiral perturbation theory

Abstract

Using the examples of pion-nucleon scattering and the nucleon mass we analyze the convergence of perturbative series in the framework of baryon chiral perturbation theory. For both cases we sum up sets of an infinite number of diagrams by solving equations exactly and compare the solutions with the perturbative contributions.

arXiv comment10 pages, 6 figures, REVTeX 4, title and summary modified, typos in figures corrected

References in corpus (11)

• ππscattering
• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• The pi pi S-wave scattering lengths
• Nucleon mass, sigma term and lattice QCD
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Infrared regularization of baryon chiral perturbation theory reformulated
• In Search of the Chiral Regime
• On the precision of the theoretical predictions for pi pi scattering
• Structure of the nucleon in chiral perturbation theory
• pi pi scattering, pion form factors and chiral perturbation theory

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