We present experimental constraints on the spin-dependent WIMP (weakly interacting massive particle)-nucleon elastic cross sections from LUX data acquired in 2013. LUX is a dual-phase xenon time projection chamber operating at the Sanford Underground Research Facility (Lead, South Dakota), which is designed to observe the recoil signature of galactic WIMPs scattering from xenon nuclei. A profile likelihood ratio analysis of 1.4×10⁴ kg day of fiducial exposure allows 90% C.L. upper limits to be set on the WIMP-neutron (WIMP-proton) cross section of σₙ=9.4×10⁻⁴¹ cm² (σₚ=2.9×10⁻³⁹ cm²) at 33 GeV/c². The spin-dependent WIMP-neutron limit is the most sensitive constraint to date.
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Akerib et al. (2016) studied this question.