Photoproduction of $\rho$ mesons in Au+Au Ultra-Peripheral Collisions of $\sqrt{s_{NN}}$ = 200 GeV from STAR

Photoproduction between Au+Au ions in Ultra Peripheral Collisions (UPC's) at RHIC generates vector mesons including the $\rho $ meson. This occurs when a photon from one nucleus fluctuates into a quark-antiquark pair and scatters off the second nucleus which produces a vector meson. The $t$ = ${p_T}^{2}$ spectrum for $\rho $ production, where $t$ is the 4 momentum transfer squared, is sensitive to interference between the two possible production channels: the first nucleus emits a photon which scatters from the second nucleus, or vice versa. In this talk, we will present \textit{dN/dt} for $\rho ^{0 }$production from the STAR detector at RHIC. Correlations between the degree of interference and the features of the spectrum will be discussed.