Nucleon toΔtransition form factors withNF=2+1domain wall fermions

Abstract

We calculate the electromagnetic, axial, and pseudoscalar form factors of the nucleon to $\ensuremath{\Delta}(1232)$ transition using two dynamical light degenerate quarks and a dynamical strange quark simulated with the domain wall fermion action. Results are obtained at lattice spacings $a=0.114\text{ }\text{ }\mathrm{fm}$ and $a=0.084\text{ }\text{ }\mathrm{fm}$, with corresponding pion masses of 330 MeV and 297 MeV, respectively. High statistics measurements are achieved by utilizing the coherent sink technique. The dominant electromagnetic dipole form factor, the axial form factors and the pseudoscalar coupling are extracted to a good accuracy. This allows the investigation of the nondiagonal Goldberger-Treiman relation. Particular emphasis is given on the extraction of the subdominant electromagnetic quadrupole form factors and their ratio to the dominant dipole form factor, ${R}_{\mathrm{EM}}$ and ${R}_{\mathrm{SM}}$, measured in experiment.