The width of the Roper resonance in baryon chiral perturbation theory

Abstract

We calculate the width of the Roper resonance at next-to-leading order in a systematic expansion of baryon chiral perturbation theory with pions, nucleons, and the delta and Roper resonances as dynamical degrees of freedom. Three unknown low-energy constants contribute up to the given order. One of them can be fixed by reproducing the empirical value for the width of the Roper decay into a pion and a nucleon. Assuming that the remaining two couplings of the Roper interaction take values equal to those of the nucleon, the result for the width of the Roper decaying into a nucleon and two pions is consistent with the experimental value.

arXiv comment11 pages, 3 figures

References in corpus (27)

• Big-Bang Nucleosynthesis
• Chiral Dynamics in Nucleons and Nuclei
• Asymptotic expansion of Feynman integrals near threshold
• Electromagnetic excitation of the Delta(1232)-resonance
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• Effective theory of the Delta(1232) in Compton scattering off the nucleon
• Matching Heavy Particle Approach to Relativistic Theory
• Low-Energy Photon-Photon Collisions to Two-Loop Order
• Correspondence of consistent and inconsistent spin-3/2 couplings via the equivalence theorem
• Chiral unitary meson-baryon dynamics in the presence of resonances: Elastic pion-nucleon scattering
• Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Infrared regularization for spin-1 fields
• Infrared regularization with spin-3/2 fields
• Redundance of $\Delta$-isobar Parameters in Effective Field Theories
• Power counting in baryon chiral perturbation theory including vector mesons
• Redundancy of the off-shell parameters in chiral effective field theory with explicit spin-3/2 degrees of freedom
• Mass and width of the Roper resonance using complex-mass renormalization
• Chiral corrections to the Roper mass
• How to define physical properties of unstable particles
• Magnetic moment of the Roper resonance
• The two pion decay of the Roper resonance
• The Role of the Roper in QCD
• The Role of the Roper in Chiral Perturbation Theory
• Infrared regularization with vector mesons and baryons

Cited by in corpus (19)

• Nuclear effective field theory: status and perspectives
• Towards a theory of hadron resonances
• Nucleon-pion-state contribution in lattice calculations of the nucleon charges $g_A,g_T$ and $g_S$
• Electromagnetic Transition Form Factors of Baryon Resonances
• On the effect of excited states in lattice calculations of the nucleon axial charge
• Valence quark contributions for the ${\gamma }^{\ast }N\to N(1440)$ form factors from Light-Front holography
• The width of the $\Delta$-resonance at two loop order in baryon chiral perturbation theory
• Particle-dimer approach for the Roper resonance in a finite volume
• Analytic parametrizations of the ${\gamma }^{\ast }N\to N(1440)$ form factors inspired by Light-Front holography
• The reaction $\pi N\to \omega N$ in a dynamical coupled-channel approach
• The Roper resonance: a genuine quark state or a dynamically generated structure?
• Quark model study of the $\pi N\to \pi N$ reactions up to the $N(1440)$ resonance region
• The Roper Resonance in a finite volume
• Electromagnetic transition form factors of the Roper resonance in baryon chiral perturbation theory
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization
• Towards a theory of baryon resonances
• Another walk through the world of chiral dynamics
• Pion axioproduction revisited
• Understanding the 1P- and 2S-wave nucleon resonances within the extended Lee-Friedrichs Model