Manifestly-covariant chiral PT calculation of nucleon Compton scattering

Abstract

We compute the Compton scattering off the nucleons in the framework of manifestly covariant baryon chiral perturbation theory (B$\chi$PT). The results for observables differ substantially from the corresponding calculations in heavy-baryon chiral perturbation theory (HB$\chi$PT), most appreciably in the forward kinematics. We verify that the covariant $p^3$ result fulfills the forward-Compton-scattering sum rules. We also explore the effect of the $\Delta$(1232) resonance at order $p^4/\Delta$, with $\Delta \approx 300$ MeV, the resonance excitation energy. We find that the substantial effect of the $\Delta$-excitation on the nucleon polarizabilities can naturally be accommodated in the manifestly covariant calculation.

arXiv comment6 pages, 4 figures, REVTeX; Major revision, the effect of Delta is computed entirely to order p^4 over the Delta-nulceon mass difference

References in corpus (21)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Chiral Dynamics in Nucleons and Nuclei
• Electromagnetic excitation of the Delta(1232)-resonance
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• Dispersion relations in real and virtual Compton scattering
• Effective theory of the Delta(1232) in Compton scattering off the nucleon
• Matching Heavy Particle Approach to Relativistic Theory
• Measurement of the Electric and Magnetic Polarizabilities of the Proton
• News from FormCalc and LoopTools
• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Delta(1232) and the Polarizabilities of the Nucleon
• Polarizability of the Nucleon and Compton Scattering
• Electromagnetic Nucleon-to-Delta Transition in Chiral Effective-Field Theory
• Signatures of Chiral Dynamics in Low Energy Compton Scattering off the Nucleon
• Is Heavy Baryon Approach Necessary?
• Sum Rules for Magnetic Moments and Polarizabilities in QED and Chiral Effective-Field Theory
• A Derivative of the Gerasimov-Drell-Hearn Sum Rule
• Compton scattering from the proton at NLO in the chiral expansion
• Semimicroscopical description of the simplest photonuclear reactions accompanied by excitation of the giant dipole resonance in medium-heavy mass nuclei

Cited by in corpus (9)

• Predictive powers of chiral perturbation theory in Compton scattering off protons
• Role of diquark correlations and the pion cloud in nucleon elastic form factors
• Predictions of covariant chiral perturbation theory for nucleon polarisabilities and polarised Compton scattering
• Anatomy of relativistic pion loop corrections to the electromagnetic nucleon coupling
• Evaluation of the forward Compton scattering off protons: II. Spin-dependent amplitude and observables
• Nucleon Polarizabilities: Theory
• Hyperon forward spin polarizabilty gamma0
• A dispersion relation for the pion-mass dependence of hadron properties
• Predictions of chiral perturbation theory for Compton scattering off protons