Amplitude Analysis of the $\omega \pi^-$ System at GlueX

Signals for mesons with exotic $J^{PC}$ quantum numbers, which are not allowed for a quark-antiquark pair, have been experimentally observed, but their exact nature is still unknown. A candidate for these exotics is the hybrid meson, which consists of a quark, an antiquark, and an excited gluonic field configuration. GlueX, which is a large acceptance photoproduction experiment in Jefferson Lab's Hall D, aims to map the spectrum of light-quark mesons by studying a multitude of final states. The lightest expected exotic hybrid meson with $J^{PC} = 1^{-+}$ has been predicted to decay predominantly to $b_{1} \pi$, in a recent calculation by the HadSpec Collaboration. Thus, understanding the decay of the axial-vector $b_1$ meson is an important step in the search for exotics. In this talk, studies of the reaction $\gamma p \rightarrow \Delta^{++} \omega \pi^{-}$ at GlueX will be presented, with an emphasis on the amplitude analysis of the $\omega \pi^{-}$ final state, which is the dominant decay mode of the $b_{1}^{-}$.