Qweak Ancillary Results: Exploring the Nucleus with Fundamental Symmetries

While the primary focus of the Q$_\mathrm{weak}$ Experiment was the recently published measurement of the weak charge of the proton ($Q^p_w$) via parity-violation in elastic electron-proton scattering, many ancillary topics were also studied. This talk will cover the preliminary results for several of the ancillary measurements, all of which arose from the measurement of parity-violating asymmetries in the scattering of a longitudinally polarized electron beam from unpolarized targets. Measurements were made at two different kinematics settings (E=877 MeV, $Q^2$=0.01 GeV$^2$; E=1.16 GeV, $Q^2$=0.02 GeV$^2$) of the asymmetry in the N$\rightarrow \Delta$ transition. These measurements are sensitive to hadronic parity violation. A measurement of the asymmetry in the inelastic scattering of electrons from the proton above the resonance region (E=3.35 GeV,$Q^2$=0.082 GeV$^2$, and W=2.23 GeV) is sensitive to the $\gamma$Z electroweak correction in parity-violating elastic electron scattering. Finally, the elastic parity-violating asymmetry in electron-$^{27}$Al scattering was measured at E=1.16 GeV and $Q^2$=0.024 GeV$^2$. This result is used to determine the radius of the neutron distribution in $^{27}$Al.