Determination of the neutron electric form factor in quasielastic scattering of polarized electrons from polarizedHe3

We report a measurement of the asymmetry in spin-dependent quasielastic scattering of longitudinally polarized electrons from a polarized ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ gas target. The asymmetry is measured at kinematics sensitive to the transverse-longitudinal response function ${\mathit{R}}_{\mathit{T}\mathit{L}}$(${\mathit{Q}}^2$,ω). The value of the neutron electric form factor ${\mathit{G}}_{\mathit{E}}^{\mathit{n}}$(${\mathit{Q}}^2$=0.16 (GeV/${\mathit{c}}^2$))=+0.070±0.100±0.035 is extracted from the asymmetry using a Faddeev calculation of the ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ wave function.