Polarization observables from the photoproduction of $\omega$-mesons using Linearly Polarized Photons

We report on the Spin Density Matrix Elements (SDMEs), for the $\omega$ meson using a beam of linearly polarized photons in the photon energy region of $E_{\gamma} = 1.3$ to $1.9$~ GeV. The angular distributions of the daughter pions from $\omega$ decay give critical information on the mechanisms for the photoproduction of $\omega$ meson. Other observables are easily obtained using the SDMEs, such as the photon beam asymmetry $\Sigma$ or the parity asymmetry $\Sigma_{P}$, which calculated as function of the Mandelstam variables $s$ and $t$ ($\Sigma = \Sigma(s,t)$), constraints on the partial wave analyses used to extract the nucleon excitation spectrum from the available data and help distinguishing between pion exchange and pomeron exchange (VDM model). The SDMEs, $\rho_{MM'}^0$ that parametrize the $\omega$ meson decay angular distribution, provide an understanding in determining the spin and parity of the exchanged particle in the $t$-channel production process and deviations from the Vector Dominance Model (VDM). Since the $\omega$ is an isoscalar, it couples only to $N^*$ states, i.e.~$I=\frac{1}{2}$. This eliminates $\Delta$ resonance production. These preliminary results are from the g8b dataset collected in 2005 with CLAS detector at Jefferson Lab.