Physics
Scientific paper
Jun 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phdt........37g&link_type=abstract
Thesis (PH.D.)--STANFORD UNIVERSITY, 1988.Source: Dissertation Abstracts International, Volume: 49-12, Section: B, page: 5360.
Physics
Scientific paper
A general analysis is made of interactions between WIMPs (weakly interacting massive particles) and a massive body. This analysis is then applied to the Sun and the Earth. The evaporation of WIMPs from the Sun is calculated analytically and numerically. First an analytic approximation is made by defining an appropriate truncation of a Maxwell -Boltzmann distribution for the WIMPs and calculating the exact evaporation rate from this distribution due interaction with a truly thermal distribution of nuclei. Then, the actual (non-thermal) distribution of Dirac neutrino WIMPs in the Sun is calculated numerically for WIMPs of mass 1-7 GeV. It is found that the evaporation mass for a solar life-time is 3.7 GeV and, for an 'annihilation life-time,' 2.9 GeV. These are about 8% lower than the most well-reasoned previous estimate. Next, the exact formulae for the capture of WIMPs by a massive body in free space are derived. Capture by the Earth is found to be significantly enhanced ("resonate") whenever the WIMP mass is roughly equal to the nuclear mass of an element present in the Earth in large quantities. For Dirac neutrino WIMPs of mass 10 to 90 GeV, the capture rate is 10 to 300 times than previously believed. Capture rates for the Sun are also recalculated and found to be from 1.5 times higher to 3 times lower than previously believed. The Earth alone (or in combination with the Sun) is found to give a much stronger annihilation signal from Dirac neutrino WIMPs than the Sun alone over a very large mass range. This is particularly important in the neighborhood of mass of iron where previous analyses could not set any significant limits. Finally, the capture of WIMPs by the Earth is recalculated taking account of corrections due to the Earth's motion deep within the potential well of the Sun. It is found that the capture "resonances" are enlarged and broadened by these corrections.
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