Gravitational diffusion of solar system WIMPs

Statistics – Computation

Scientific paper

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Elementary Particle Interactions, Gravitational Effects, Solar System, Weak Energy Interactions, Computational Astrophysics, Earth (Planet), Jupiter (Planet), Orbital Resonances (Celestial Mechanics), Venus (Planet)

Scientific paper

It is shown here that, because of purely gravitational diffusion, the most important solar-bound weakly interacting massive particles (WIMPs) are populated at the same phase-space density as low-velocity unbound orbits. This diffusion occurs on time scales short compared both to the lifetime of the earth and to weak-interaction depletion. The effect is that direct capture from bound and unbound orbits together is very nearly equal to direct capture by the earth considered as a body in free space. The same gravitational diffusion virtually eliminates indirect capture. The net result is that 'free-space' formulas for capture reported in a previous paper may be used without modification despite the fact that the earth is bound in the potential well of the sun.

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