Dark matter particles captured by the Sun through scattering may annihilate and produce neutrinos, which escape. Current searches are for the few high-energy neutrinos produced in the prompt decays of some final states. We show that interactions in the solar medium lead to a large number of pions for nearly all final states. Positive pions and muons decay at rest, producing low-energy neutrinos with known spectra, includingνe through neutrino mixing. We demonstrate that SuperKamiokande can thereby provide a new probe of the spin-dependent WIMP-proton cross section. Compared to other methods, the sensitivity is competitive and the uncertainties are complementary.PACS numbers: 95.35.+d, 95.85.Ry Introduction.-If dark matter is a thermal relic of the early universe, then its self-annihilation cross section is revealed by its present mass density. To match observations, the required cross section, averaged over relative velocities, is σ A v = (5.2−2.2)×10 −26 cm 3 /s, as a function of increasing mass, m χ [1]. This indicates a weakly interacting massive particle (WIMP; denoted χ) [2][3][4].The total annihilation cross section, including all final states, is well defined, but the partial annihilation, scattering, and production cross sections with any specific standard model (SM) particles are model-dependent. Measurement of any of these cross sections would dramatically constrain WIMP models and eliminate more exotic possibilities. There are limits from straightforward searches for astrophysical fluxes of annihilation products, direct nuclear scatterings in underground experiments, and collider events with missing energy.Searches for high-energy neutrinos from the Sun give strong limits on WIMP-nucleon scattering. WIMPs passing through the Sun may rarely scatter with nuclei and become gravitationally bound. Scattering can occur by coherent spin-independent (SI) or valence spindependent (SD) interactions. Further scatterings thermalize WIMPs in the solar core, where they annihilate. Only neutrinos can escape and potentially be detected. When the capture rate, Γ C , regulates the annihilation rate, Γ A , as expected, an upper limit on the neutrino flux sets an upper limit on the WIMP-nucleon scattering cross section.The most interesting limits using searches for highenergy neutrinos from the Sun are on SD WIMP-proton scattering, σ SD χp . Though the searches are based on the annihilation process, these limits are independent of σ A v , except for assumptions about the annihilation final states, which govern the detectability of the neutrinos. High-energy neutrinos come from the few annihilation products that decay promptly, before losing energy in the solar medium, giving continuum spectra up to E ν ∼ m χ (direct annihilation to neutrino pairs, helicitysuppressed in many models, produces a line at E ν = m χ ). Strong limits on the SD WIMP-proton scattering cross section have been derived for large m χ and certain final states, such as W + W − , τ + τ − , and bb.Generalizing to other final states and a broader range...