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, I will present recent lattice-QCD results on the $\Delta$ 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 $\Delta$ resonance and its electromagnetic structure through the ($N\to\Delta$) 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.