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arXiv 2009.14591hep-phastro-ph.CO
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末态索末菲效应对暗物质遗迹丰度的影响

Final state Sommerfeld effect on dark matter relic abundance

Xiaoyi Cui, Feng Luo

摘要:

如果暗物质(DM)的湮灭产物是非相对论性的,并且它们之间存在某种长程作用力,则末态粒子可能存在索末菲效应。我们研究这种影响DM遗迹丰度的热冻结的情况下。作为概念的证明,我们考虑DM对湮灭成最终状态对的情况,假设两个最终状态粒子之间的相互作用产生类库仑势,并且初始和最终状态粒子的质量相似,因此初始和最终状态粒子都是非相对论的。末态索末菲效应的大小取决于势的强度,以及末态和初态粒子的质量比。我们发现,FSS效应对DM遗迹丰度的影响可能很大,并且电弱大小的远程相互作用足够大,可以进行远远超出观测精度的校正。FSS效应的另一个特点是,当它的时间尺度比末态粒子的寿命长时,它可以被抑制。作为一个推论,我们还研究了在DM coannihilator的情况下,两个coannihilator之间的初始状态索末菲效应可以减少,由于他们的不稳定性,这可能需要考虑到一个精确的计算DM遗迹丰度。

英文摘要:

If the annihilation products of dark matter (DM) are non-relativistic and if there is some long-range force between them, there can be Sommerfeld effect for the final state particles. We study this effect on DM relic abundance in the thermal freeze-out scenario. As a proof of concept, we consider the case of a DM pair annihilation into a final state pair, assuming that the mutual interactions between the two final state particles give rise to a Coulomb-like potential, and that the masses of the initial and final state particles are similar, so that both the initial and final state particles are non-relativistic. The size of the final state Sommerfeld (FSS) effect depends on the strength of the potential, as well as on the mass ratio of the final and initial state particles. We find that the impact of the FSS effect on DM relic abundance can be significant, and an electroweak sized long-range interaction is large enough to make a correction well beyond the observational accuracy. Another feature of the FSS effect is that it could be suppressed when its time scale is longer than the lifetime of the final state particles. As a corollary, we also study in the DM coannihilation scenario where the initial state Sommerfeld effect between two coannihilators could be reduced due to their instability, which may need to be taken into account for an accurate calculation of the DM relic abundance.

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