Electromagnetic Nucleon-to-Delta Transition in Chiral Effective-Field Theory

Abstract

We perform a relativistic chiral effective-field theory calculation of the pion electroproduction off the nucleon ($e^{-}N\to e^{-}N\pi$) in the Delta(1232)-resonance region. After fixing the three low-energy constants, corresponding to the magnetic (M1), electric (E2), and Coulomb (C2) $\gamma N\Delta$ couplings, our calculation provides a prediction for the momentum-transfer and pion-mass dependence of the $\gamma N\Delta$ form factors. The prediction for the pion-mass dependence resolves the discrepancy between the recent lattice QCD results and the experimental value for the "C2/M1 ratio" at low $Q^2$.

4 pages (RevTeX), 4 figures; a few claryifying phrases and a reference added, typos corrected

References in corpus (7)

• Investigation of the conjectured nucleon deformation at low momentum transfer
• The N to Delta electromagnetic transition form factors from Lattice QCD
• Magnetic moment of the Delta(1232)-resonance in chiral effective field theory
• Sum Rules for Magnetic Moments and Polarizabilities in QED and Chiral Effective-Field Theory
• Pion photoproduction on nucleons in a covariant hadron-exchange model
• ${\gamma }^{\ast }N\Delta$ Form Factors from a Relativistic Dynamical Model of Pion Electroproduction
• A study of the N to Delta transition form factors in full QCD

Cited by in corpus (59)

• Unitary Isobar Model - MAID2007
• Electromagnetic excitation of the Delta(1232)-resonance
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• Towards a theory of hadron resonances
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• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Nucleon Polarizabilities: from Compton Scattering to Hydrogen Atom
• The nucleon to Delta electromagnetic transition form factors in lattice QCD
• Axial Nucleon and Nucleon to Delta form fractors and the Goldberger-Treiman Relations from Lattice QCD
• Light baryon magnetic moments and N -> Delta gamma transition in a Lorentz covariant chiral quark approach
• A Covariant model for the nucleon and the $\Delta$
• Lowest Q^2 Measurement of the gamma*p -> Delta Reaction: Probing the Pionic Contribution
• Nucleon to Delta transition form factors with $N_F=2+1$ domain wall fermions
• The nucleon and Delta-resonance masses in relativistic chiral effective-field theory
• The axial N to Delta transition form factors from Lattice QCD
• Light Cone Sum Rules for gamma* N -> Delta Transition Form Factors
• Hadron structure at low Q^2
• Chiral effective-field theory in the Delta(1232) region: II. radiative pion photoproduction
• Determination of quadrupole strengths in the gamma*p-->Delta(1232) transition at Q2= 0.20 (GeV/c)2
• Measurements of the gamma*p->Delta Reaction At Low Q^2: Probing the Mesonic Contribution
• Delta-baryon mass in a covariant Faddeev approach
• $\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory
• Large-$N_c$ relations for the electromagnetic N to Delta(1232) transition
• Electromagnetic Transition Form Factors of Baryon Resonances
• Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory
• Electromagnetic Nucleon-to-Delta Transition in Holographic QCD
• Electromagnetic form factors of the Delta in a S-wave approach
• Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory: II. Spin polarizabilities and moments of polarized structure functions
• Two-photon exchange corrections to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states at low momentum transfers
• Chiral symmetry and the axial nucleon to Delta(1232) transition form factors
• Parametrizations of the ${\gamma }^{\ast }N\to \Delta (1232)$ quadrupole form factors and Siegert's theorem
• Decuplet contribution to the meson-baryon scattering lengths
• The Role of the Roper in Chiral Perturbation Theory
• Hints on the quadrupole deformation of the $\Delta$(1232)
• Virtual Compton Scattering measurements in the ${\gamma }^{\ast }N\to \Delta$ transition
• $\Delta (1232)$ resonance in the $\vec{\gamma }p\to p{\pi }^0$ reaction at threshold
• Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory: the subtraction function and moments of unpolarized structure functions
• Light-front representation of chiral dynamics with Delta isobar and large-N_c relations
• The Delta(1232) Resonance in Chiral Effective Field Theory
• Virtual Compton Scattering and Nucleon Generalized Polarizabilities
• Nucleon-to-Delta transition form factors in chiral effective field theory using the complex-mass scheme
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• $\Delta (1232)$-Resonance in the Hydrogen Spectrum
• Manifestly-covariant chiral PT calculation of nucleon Compton scattering
• Electromagnetic transition form factors, $E2/M1$ and $C2/M1$ ratios of the baryon decuplet
• Hyperon forward spin polarizability gamma0 in baryon chiral perturbation theory
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Nucleon to $\Delta$ transition form factors and empirical transverse charge densities
• Combined parametrization of the neutron electric form factor and the ${\gamma }^{\ast }N\to \Delta (1232)$ quadrupole form factors
• Limitations of the heavy-baryon expansion as revealed by a pion-mass dispersion relation
• Baryon structure from Lattice QCD
• Electromagnetic form factors of the Delta(1232) in Dual-Large N_c QCD
• Measurement of the Partial Cross Sections s(TT), s(LT) and [s(T)+epsilon*s(L)] of the p(e,e' pi+)n Reaction in the Delta(1232) Resonance
• A dispersion relation for the pion-mass dependence of hadron properties
• Understanding nucleon structure using lattice simulations
• A dispersive approach to pion photo- and electroproduction
• Relations for low-energy constants in baryon chiral perturbation theory with explicit $\Delta (1232)$ derived from the chiral quark model
• Overview of nucleon structure studies
• Two-photon physics