English

Calculations of the Sommerfeld Effect in a Unified Wave Function Framework

High Energy Physics - Phenomenology 2019-02-27 v3 High Energy Physics - Theory

Abstract

In this paper, we suggest a method of a complete calculation of the Sommerfeld effect in both the s-wave and p-wave annihilation situations. The basic idea is to uniformly consider the equal-time Beth-Salpeter wave functions of both the dark matter and the final state particles, then short-distance interactions can be parametrized as a cross-term considering the equations. Solving these equations will result in the complete formulas of the cross sections with the Sommerfeld effects.

Keywords

Cite

@article{arxiv.1806.10124,
  title  = {Calculations of the Sommerfeld Effect in a Unified Wave Function Framework},
  author = {Yi-Lei Tang and Gao-Liang Zhou},
  journal= {arXiv preprint arXiv:1806.10124},
  year   = {2019}
}

Comments

Accepted by PRD. References have been updated, further discussions are added

R2 v1 2026-06-23T02:42:37.204Z