Quantum Theory of Dark Matter Scattering
arXiv:2303.17961 · doi:10.1007/JHEP11(2023)105
Abstract
Dark matter self-scattering is one of key ingredients for small-scale structure of the Universe, while dark matter annihilation is important for the indirect measurements. There is a strong correlation between the velocity-dependent self-scattering cross section and the Sommerfeld enhancement factor for the dark matter annihilation cross section. In this study, we formulate a direct relation between them by the use of Watson's (initial state/final state) theorem and Omnès solution, and our formulation reproduces the Sommerfeld enhancement factor, which directly computed by solving the Schrödinger equation, from the scattering phase shift.
arXiv comment25 pages, 12 figures, version published in JHEP, a minor change in v3
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