We present data on the inclusive scattering of polarized electrons from a polarized ${}^{\mathrm{3}}\mathrm{H}\mathrm{e}$ target at energies from 0.862 to 5.06 GeV, obtained at a scattering angle of $15.5°$. Our data include measurements from the quasielastic peak, through the nucleon resonance region, and beyond, and were used to determine the virtual photon cross-section difference ${\sigma }_{1/2}-{\sigma }_{3/2}$. We extract the extended Gerasimov-Drell-Hearn integral for the neutron in the range of four-momentum transfer squared $Q^2$ of $0.1–0.9{\mathrm{G}\mathrm{e}\mathrm{V}}^2$.

• Received 15 May 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.242301