Axial-vector nucleon-to-delta transition form factors using the complex-mass renormalization scheme

OpenAlex İngilizce

We investigate the axial-vector nucleon-to-delta transition form factors in the framework of relativistic baryon chiral perturbation theory at the one-loop order using the complex-mass renormalization scheme. We determine the available six free parameters by fitting to an empirical parametrization of the form factors obtained from the BNL neutrino bubble chamber experiments. A unique feature of our calculation is the prediction of a nonvanishing form factor ${C}_{3}^{A}({Q}^{2})$. Moreover, our results show a surprising sensitivity to the coupling constant ${\mathtt{g}}_{1}$ of the leading-order Lagrangian ${\mathcal{L}}_{\ensuremath{\pi}\mathrm{\ensuremath{\Delta}}}^{(1)}$.