Cosmological density of WIMPs from solar and terrestrial annihilations

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Abstract
If weakly interacting massive particles (WIMPs) comprise the dark matter, then the ratio of their annihilation signals from the centers of the sun and earth can be used to measure the degree to which WIMP capture and annihilation have come into equilibrium in the earth. This would provide a measure of, or a limit on, the WIMP annihilation cross section. The annihilation cross section is, in turn, inversely related by a standard Lee-Weinberg calculation to the cosmological density of WIMPs, Omegax. If the next generation of detectors finds a signal from the sun, an upper bound, lower bound, or measurement of Omegax of O(0.1), depending on whether there is a comparable signal, no signal, or a small signal from the earth. The chain of reasoning which leads to this conclusion is broken if the WIMPs have primarily spin-dependent interaction cross sections, but this possibility may be checked using direct-detection experiments. A very accurate analytic formula is given for the integrated WIMP capture by the entire sun.

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