[Dr.Takumi Kuwahara] Quantum Theory of DM Scattering

Asia/Seoul
#557 (Science hall)

#557

Science hall

Description

 Dark matter self-scattering is one of key ingredients for small-scale structure of the Universe. Combining observations of dark matter halos in a wide range of masses may indicate the velocity dependence of the dark matter self-scattering cross section. Meanwhile, dark matter annihilation is important for the indirect observations. The Sommerfeld enhancement is a fundamental effect in the nonrelativistic quantum mechanics due to the deformation of the wavefuntion in the presence of the long-range potential. 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. Indeed, these can be resonantly enhanced at low velocity for certain parameters when the dark matter couples to a light force mediator. 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 we reproduce the Sommerfeld-enhancement factor from the scattering phase shift.