The use of scattering theory and amplitude analysis serves as a vital connection between experimental measurement and our theoretical understanding of QCD. As such, I will discuss the application of amplitude techniques and reaction theory to two processes of interest: the three-body decays of mesons, in particular to 3π final states, and the photoproduction of quarkonium or quarkonium-like states off of a nucleon. The phenomenological study of these processes is motivated by timely development of novel experimental techniques (e.g. the Freed-Isobar Partial-Wave Analysis at COMPASS) or newly-planned collider facilities (e.g. the Electron Ion Collider). The work presented here thus aims to advance and test the validity of the dispersive formalism for 3π decays as well as produce predictions and amplitude tools for future exotic spectroscopy programs.
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