Rates for inelastic nuclear excitation by dark matter particles

Physics

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Scientific paper

We calculate rates for the inelastic scattering of dark matter particles X on nuclei to produce low-lying excited nuclear states. Assuming a maxwellian velocity distribution for the dark matter particles X, the inelastic two-body phase space suppresses all rates by factors > 10 for mx<=100 GeV unless the excitation energy ΔE<100 keV. We catalogue all stable nuclei with excited states in this range, and we estimate inelastic scattering matrix elements by relating them to M1 transitions, after correcting for internal conversions. Our calculated rates are typically <~ 10-4 events/kg.day, with the least unfavourable rates being for 16969Tm and 18775Os. Problems of natural radioactivity and expense disfavour these and many other materials, leaving 12753I, 18374W and 20180Hg as the least unpromising isotopes.

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