Self-consistent Calculation of the Sommerfeld Enhancement
arXiv:1603.01383 · doi:10.1088/1475-7516/2016/06/021
Abstract
A calculation of the Sommerfeld enhancement is presented and applied to the problem of s-wave non-relativistic dark matter annihilation. The difference from previous computations in the literature is that the effect of the underlying short-range scattering process is consistently included together with the long-range force in the effective QM Schrödinger problem. Our procedure satisfies partial-wave unitarity where previous calculations fail. We provide analytic results for some potentials of phenomenological relevance.
13 pages, 4 figures. v2: added clarifications, match journal version