The reaction pi N -> pi pi N in chiral effective field theory with explicit Delta(1232) degrees of freedom

Abstract

The reaction pi N -> pi pi N is studied at tree level up to next-to-leading order in the framework of manifestly covariant baryon chiral perturbation theory with explicit Delta(1232) degrees of freedom. Using total cross section data to determine the relevant low-energy constants, predictions are made for various differential as well as total cross sections at higher energies. A detailed comparison of results based on the heavy-baryon and relativistic formulations of chiral perturbation theory with and without explicit Delta degrees of freedom is given.

arXiv comment30 pages, 13 figures

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Cited by in corpus (9)

• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• Three-nucleon force in chiral EFT with explicit $\Delta (1232)$ degrees of freedom: Longest-range contributions at fourth order
• The relativistic chiral Lagrangian for decuplet and octet baryons at next-to-leading order
• Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory
• $2\pi$ production in the Giessen coupled-channel model
• Spectral functions of nucleon form factors: Three-pion continua at low energies
• Nuclear Reactions at Intermediate Energies