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arXiv · 2303.17961

Quantum Theory of Dark Matter Scattering

Ayuki Kamada·Takumi Kuwahara·Ami Patel
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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 Omn\`es solution, and our formulation reproduces the Sommerfeld enhancement factor, which directly computed by solving the Schr\"odinger equation, from the scattering phase shift.

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Ayuki Kamada, Takumi Kuwahara, Ami Patel. 2023-03-31. Quantum Theory of Dark Matter Scattering. https://doi.org/10.1007/jhep11(2023)105

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