The nucleon and Delta(1232) form factors at low momentum-transfer and small pion masses

Abstract

An expansion of the electromagnetic form factors of the nucleon and Delta(1232) in small momentum transfer and pion mass is performed in a manifestly-covariant EFT framework consistent with chiral symmetry and analyticity. We present the expressions for the nucleon and Delta(1232) electromagnetic form factors, charge radii, and electromagnetic moments in the framework of SU(2) baryon chiral perturbation theory, with nucleon and Delta(1232)-isobar degrees of freedom, to next-to-leading order. Motivated by the results for the proton electric radius obtained from the muonic-hydrogen atom and electron-scattering process, we extract values for the second derivative of the electric form factor which is a genuine prediction of the p^3 BChPT. The chiral behavior of radii and moments is studied and compared to that obtained in the heavy-baryon framework and lattice QCD. The chiral behavior of Delta(1232)-isobar properties exhibits cusps and singularities at the threshold of Delta->pi N decay, and their physical significance is discussed.

42 pages, 10 figures

References in corpus (10)

• High-precision determination of the electric and magnetic form factors of the proton
• Electromagnetic excitation of the Delta(1232)-resonance
• Dispersion analysis of the nucleon form factors including meson continua
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• The RMS Charge Radius of the Proton and Zemach Moments
• Updated dispersion-theoretical analysis of the nucleon electromagnetic form factors
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Nucleon to Delta transition form factors with $N_F=2+1$ domain wall fermions
• Nucleon Form Factors in Dispersion Theory
• Electromagnetic moments of quasi-stable particle

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• Nucleon electromagnetic form factors in two-flavour QCD
• Recent developments in SU(3) covariant baryon chiral perturbation theory
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• Three-nucleon force in chiral EFT with explicit $\Delta (1232)$ degrees of freedom: Longest-range contributions at fourth order
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• Why three-body physics do not solve the proton radius puzzle
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• The electromagnetic form factors of the transition from the spin-3/2 Sigma to the Lambda hyperon
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• $\Delta (1232)$ resonance in the $\vec{\gamma }p\to p{\pi }^0$ reaction at threshold
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• Light-front representation of chiral dynamics with Delta isobar and large-N_c relations
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• Limitations of the heavy-baryon expansion as revealed by a pion-mass dispersion relation
• Low-energy axial-vector transitions from decuplet to octet baryons
• Causality in the relativistic bound-state problem
• Background field approach to electromagnetic properties of baryons
• Threshold Neutral Pion Photoproduction on the Proton
• Dispersive Analysis of $D$- and $B$-Meson Form Factors with Chiral and Heavy-Quark Constraints
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