Speaker
Description
The $\Delta(1232)$ resonance is the lowest-lying baryon excitation and provides an important testing ground for our understanding of hadron structure. In this talk, we will present recent lattice-QCD results on the resonance at the physical pion mass.
Using gauge ensembles with $N_f=2+1+1$ dynamical quark flavors, we investigate both the finite-volume spectrum of the resonance and its electromagnetic structure through the ($N\rightarrow \Delta$) transition. Preliminary results for the magnetic dipole (M1), electric quadrupole (E2), and Coulomb quadrupole (C2) transition form factors will be presented, together with a discussion of excited-state effects and the extraction methodology based on optimized three-point correlation functions.
These studies represent an important step toward a first-principles determination of the properties and internal structure of the $\Delta$
resonance directly from QCD.