Enhancement of $p$-wave dark matter annihilation by quasi-bound states
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911793435115520 |
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| author | Beneke, Martin Binder, Tobias De Ros, Lorenzo Garny, Mathias |
| author_facet | Beneke, Martin Binder, Tobias De Ros, Lorenzo Garny, Mathias |
| contents | We scrutinize the Sommerfeld enhancement in dark matter pair annihilation for $p$-wave and higher-$\ell$ partial waves. For the Yukawa potential these feature a super-resonant Breit-Wigner peak in their velocity-dependence close to Sommerfeld resonances as well as a universal scaling with velocity for all $\ell\geq 1$ that differs from the $s$-wave case. We provide a quantum mechanical explanation for these phenomena in terms of quasi-bound states sustained by the centrifugal barrier of the partial-wave potential, and give approximate WKB expressions capturing the main effects. The impact of quasi-bound states is exemplified for wino dark matter and models with light mediators, with a focus on indirect detection signals. We note that quasi-bound states can also explain similar peaks in the bound-state formation and self-scattering cross sections. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_07108 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Enhancement of $p$-wave dark matter annihilation by quasi-bound states Beneke, Martin Binder, Tobias De Ros, Lorenzo Garny, Mathias High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics We scrutinize the Sommerfeld enhancement in dark matter pair annihilation for $p$-wave and higher-$\ell$ partial waves. For the Yukawa potential these feature a super-resonant Breit-Wigner peak in their velocity-dependence close to Sommerfeld resonances as well as a universal scaling with velocity for all $\ell\geq 1$ that differs from the $s$-wave case. We provide a quantum mechanical explanation for these phenomena in terms of quasi-bound states sustained by the centrifugal barrier of the partial-wave potential, and give approximate WKB expressions capturing the main effects. The impact of quasi-bound states is exemplified for wino dark matter and models with light mediators, with a focus on indirect detection signals. We note that quasi-bound states can also explain similar peaks in the bound-state formation and self-scattering cross sections. |
| title | Enhancement of $p$-wave dark matter annihilation by quasi-bound states |
| topic | High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2403.07108 |