Connecting Matrix Elements to Multi-Hadron Form-Factors

Abstract

We discuss developments in calculating multi-hadron form-factors and transition processes via lattice QCD. Our primary tools are finite-volume scaling relations, which map spectra and matrix elements to the corresponding multi-hadron infinite-volume amplitudes. We focus on two hadron processes probed by an external current, and provide various checks on the finite-volume formalism in the limiting cases of perturbative interactions and systems forming a bound state. By studying model-independent properties of the infinite-volume amplitudes, we are able to rigorously define form-factors of resonances.

Comments: 11 pages, 6 figures, proceedings to the 38th International Symposium on Lattice Field Theory (LATTICE21), 26-30 July 2021, Zoom/Gather@Massachusetts Institute of Technology