Beam Normal Single Spin Asymmetry in the N-to-Delta Transition

The Q-weak experiment in Hall C at the Thomas Jefferson National Accelerator Facility has made the first direct measurement of the weak charge of the proton, Q$^{\mathrm{p}}_{\mathrm{W}}$, through the precision measurement of the parity-violating (PV) asymmetry in elastic e-p scattering at low momentum transfer. The data are currently under analysis. There is a parity conserving Beam Normal Single Spin Asymmetry or transverse asymmetry (A$_{\mathrm{n}})$ on H$_{2}$ with a sin($\varphi )$-like dependence due to 2-$\gamma $ exchange. The size of A$_{\mathrm{n}}$ is few ppm, so a few percent residual transverse polarization in the beam, in addition to potentially small broken azimuthal symmetries in the detector, might lead to few ppb corrections to the Q-weak data. As part of a program of A$_{\mathrm{n}}$ background studies, we made the first measurement of A$_{\mathrm{n}}$ in the N-to-Delta transition using the Q-weak apparatus. A$_{\mathrm{n}}$ from electron-nucleon scattering is also a unique tool to study the $\gamma $*$\Delta \Delta $ form factors [1]. Status of the analysis will be presented.\\[4pt] [1] C. Alexandrou et. al, http://arxiv.org/abs/0901.3457v1.