Nucleon-to-Delta transition form factors in chiral effective field theory using the complex-mass scheme

Abstract

We calculate the form factors of the electromagnetic nucleon-to-$\Delta$-resonance transition to third chiral order in manifestly Lorentz-invariant chiral effective field theory. For the purpose of generating a systematic power counting, the complex-mass scheme is applied in combination with the small-scale expansion. We fit the results to available empirical data.

23 pages, 11 figures

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• Big-Bang Nucleosynthesis
• Unitary Isobar Model - MAID2007
• Electromagnetic excitation of the Delta(1232)-resonance
• The complex-mass scheme for perturbative calculations with unstable particles
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• Nucleon to Delta transition form factors with $N_F=2+1$ domain wall fermions
• Two-Loop Renormalization in the Standard Model Part III: Renormalization Equations and their Solutions
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• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
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Cited by in corpus (7)

• Jülich-Bonn-Washington Model for Pion Electroproduction Multipoles
• Electromagnetic Transition Form Factors of Baryon Resonances
• Nucleon resonances with higher spins in soft-wall AdS/QCD
• Combined parametrization of the neutron electric form factor and the ${\gamma }^{\ast }N\to \Delta (1232)$ quadrupole form factors
• Global Data-Driven Determination of Baryon Transition Form Factors
• Contribution of the $a_1$ meson to the axial nucleon-to-$\Delta$ transition form factors
• Axial-vector nucleon-to-delta transition form factors using the complex-mass renormalization scheme