Search for Isoscalar Resonances in γp → ωηp at GlueX

The GlueX experiment has produced the world's largest statistics for peripheral photoproduction of mesons with a goal to search for exotic mesons. This document presents results on the search for possible intermediate resonances which decay to $\omega \eta$. Little is known for the states seen in this decay channel such as the $\omega(1420)$ and $\omega(1650)$. This channel also allows to search for the never seen exotics $J^{PC}=0^{--}$, $2^{+-}$, and the elusive $2^{--}$. The $\omega$, in this reaction, is identified via the $\pi^{+} \pi^{-} \pi^{0}$ decay mode and the $\eta$ and $\pi^{0}$ are identified via the decay to 2$\gamma$. Data from the GlueX Phase I was analyzed. This data was obtained at the Thomas Jefferson National Accelerator Facility utilizing the GlueX detector and a tagged linearly polarized photon beam incident on a liquid hydrogen target. A model using the expected major wave contributors, $1^{+-}$ and $1^{--}$, shows two structure in the region where the $\omega(1420)$ and $\omega(1650)$ are expected. A third structure is seen at threshold with the quantum numbers of an $h_1$ resonance, however, more studies are needed to assert the nature of this structure. Instabilities on the $m=\pm 1$ were shown to come from mathematical ambiguities. This only occurs between the $m=1$ and $m=-1$ projections when both reflectivities are present in close amount. Expanding the intensity equation for a single wave allows to extract coefficients that can help describe the data. A tangent study is also presented in this document which consists on a direct fit to the line-shape of an isolated N(1535). This baryonic resonance is well established but its Breit-Wigner parameters have only been obtained from partial wave analysis. In contrast, this study obtained the Breit-Wigner parameters using a direct fit and finds the value of the width to be 70.5$\pm$ 9.2 MeV; this is half of the accepted value.