On the Double Spin Asymmetries in the Elastic Scattering of Electrons off Protons

Abstract

Based on the obtained differential cross sections for the scattering of longitudinally polarized electrons, taking into account the polarization of the proton target or the longitudinal polarization of the recoil protons, the next single spin asymmetries are studied: breaking T-parity asymmetry in the spin of the target proton $${{A}^{{( \bot )}}}$$ , and the degree of longitudinal polarization of recoil protons $${{P}_{p}}$$ . Double spin asymmetries are also obtained and analyzed: asymmetry $${{A}_{{ep}}}$$ with respect to the correlation of the incident electron helicity and the spin of the target proton, and right-left asymmetry $${{D}_{p}}$$ of the degree of longitudinal polarization of the recoil proton. It is shown that these asymmetries make it possible to measure the ratios of the proton form factors $${{{{G}_{{Ep}}}} \mathord{\left/ {\vphantom {{{{G}_{{Ep}}}} {{{G}_{{Mp}}}}}} \right. \kern-0em} {{{G}_{{Mp}}}}}$$ and $${{{{G}_{{Mp}}}} \mathord{\left/ {\vphantom {{{{G}_{{Mp}}}} {{{G}_{{1p}}}}}} \right. \kern-0em} {{{G}_{{1p}}}}}$$ .