Limits on Spin-Dependent WIMP-Nucleon Cross Sections from the XENON10 Experiment

XENON10 is an experiment to directly detect weakly interacting massive particles (WIMPs), which may comprise the bulk of the nonbaryonic dark matter in our Universe. We report new results for spin-dependent WIMP-nucleon interactions with ${}^{129}\mathrm{Xe}$ and ${}^{131}\mathrm{Xe}$ from 58.6 live days of operation at the Laboratori Nazionali del Gran Sasso. Based on the nonobservation of a WIMP signal in 5.4 kg of fiducial liquid xenon mass, we exclude previously unexplored regions in the theoretically allowed parameter space for neutralinos. We also exclude a heavy Majorana neutrino with a mass in the range of $\sim 10\mathrm{GeV}/c^2–2\mathrm{TeV}/c^2$ as a dark matter candidate under standard assumptions for its density and distribution in the galactic halo.