Measurement of the Polarized Structure Function ${\sigma }_{L{T}^{\mathrm{\prime }}}$ for $p(\vec{e},e^{\mathrm{\prime }}p){\pi }^o$ in the $\mathrm{\Delta }(1232)$ Resonance Region

The polarized longitudinal-transverse structure function ${\sigma }_{L{T}^{\mathrm{\prime }}}$ has been measured in the $\mathrm{\Delta }(1232)$ resonance region at $Q^2=0.40$ and 0.65 GeV${}^2$. Data for the $p(\vec{e},e^{\mathrm{\prime }}p){\pi }^o$ reaction were taken at Jefferson Lab with the CEBAF Large Acceptance Spectrometer (CLAS) using longitudinally polarized electrons at an energy of 1.515 GeV. For the first time a complete angular distribution was measured, permitting the separation of different non-resonant amplitudes using a partial wave analysis. Comparison with previous beam asymmetry measurements at MAMI indicate a deviation from the predicted $Q^2$ dependence of ${\sigma }_{L{T}^{\mathrm{\prime }}}$ using recent phenomenological models.