Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory

Abstract

We report a theoretical study of the axial Nucleon to Delta(1232) ($N\to \Delta$) transition form factors up to one-loop order in relativistic baryon chiral perturbation theory. We adopt a formalism in which the $\Delta$ couplings obey the spin-3/2 gauge symmetry and, therefore, decouple the unphysical spin-1/2 fields. We compare the results with phenomenological form factors obtained from neutrino bubble chamber data and in quark models.

arXiv commentA few clarifying remarks added; version to appear in Physical Review D

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• Neutrino-induced pion production from nuclei at medium energies
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• Chiral symmetry and the axial nucleon to Delta(1232) transition form factors
• Axial vector transition form factors of $N\to \Delta$ in QCD
• Nucleon polarizabilities in covariant baryon chiral perturbation theory with explicit $\Delta$ degrees of freedom
• Contribution of the $a_1$ meson to the axial nucleon-to-$\Delta$ transition form factors
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• Isovector Axial Vector Form Factors of Octet-Decuplet Hyperon Transition in QCD
• Present Status of Single Pion Production in Neutrino-Nucleus Reactions
• Chiral perturbation theory study of the axial $N\to \Delta (1232)$ transition
• Axial-vector nucleon-to-delta transition form factors using the complex-mass renormalization scheme