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S. Cassel, “Sommerfeld factor for arbitrary partial wave processes”
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Then

B. von Harling and K. Petraki, “Bound-state formation for thermal relic dark matter and unitarity”
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2014
Later among the works it cites.
M. Kaplinghat, S. Tulin and H. B. Yu, “Direct Detection Portals for Self-interacting Dark Matter”
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Y. Zhang, “Long-lived Light Mediator to Dark Matter and Primordial Small Scale Spectrum”
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2015
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M. B. Wise and Y. Zhang, “Stable Bound States of Asymmetric Dark Matter”
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2015
Later among the works it cites.
M. B. Wise and Y. Zhang, “Yukawa Bound States of a Large Number of Fermions”
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2016

Effects of Bound States on Dark Matter Annihilation

An, Haipeng, Wise, Mark B., Zhang, Yue

Understand

We study the impact of bound state formation on dark matter annihilation rates in models where dark matter interacts via a light mediator, the dark photon.

We derive the general cross section for radiative capture into all possible bound states, and point out its non-trivial dependence on the dark matter velocity and the dark photon mass.
For indirect detection, our result shows that dark matter annihilation inside bound states can play an important role in enhancing signal rates over the rate for direct dark matter annihilation with Sommerfeld enhancement.
The effects are strongest for large dark gauge coupling and when the dark photon mass is smaller than the typical momentum of dark matter in the galaxy.