First Measurements of the Parity-Violating and Beam-Normal Single-Spin Asymmetries in Elastic Electron-Aluminum Scattering
The Q weak collaboration has made the first measurements of the elastic parity-violating and beam-normal single-spin asymmetries from the 27 Al nucleus. Both are the result of ancillary measurements conducted during the Q weak experiment at Jefferson Lab. The goal of the experimental was to determine the proton's weak charge, Q p W , via a measurement of the elastic parity-violating electron-proton scattering asymmetry. During the experiment, ancillary measurements were made with different beam configurations on a separate aluminum alloy target, in an effort to directly measure the aluminum background coming from the experiment's liquid hydrogen target cell. This dissertation discusses three primary results: the parity-violating 27 Al asymmetry analysis used to correct for the aluminum target background in the final Q weak analysis, its extended analysis leading to the extraction of the pure elastic parity-violating 27 Al asymmetry, and the determination of the elastic beam-normal single-spin 27 Al asymmetry. The parity-violating result was also used to make a semi model-independent determination of 27 Al neutron distribution radius, an important test for models used to describe neutron-rich matter. The beam-normal single-spin asymmetry stands to possibly shed light on an observed disagreement between theory and a previous measurement performed on 208 Pb, as 27 Al is the next highest atomic mass nucleus to have this observable measured. The elastic parity-violating 27 Al asymmetry was found to be 1.927 +/- 0.173 ppm at (Q 2 ) = 0.0236 +/- 0.0001 GeV 2 . This measured parity-violating asymmetry implies a 27 Al neutron distribution radius of 3.024 +/- 0.104 fm. Calculating the difference between this radius and the 27 Al proton distribution radius yields the neutron skin, which was found to be 0.092 +/- 0.104 fm. This skin value is consistent with zero, within its uncertainty, and it confirms the naive expectation for a light nucleus like 27 Al. The beam-normal single-spin 27 Al asymmetry was found to be -16.322 +/- 2.679 ppm at ⟨Q⟩ = 0.154 GeV. This value agrees with the previous observed trend of beam-normal single-spin asymmetries measured from light nuclei, which motivates the need for future measurements of higher atomic mass nuclei.