S波共振附近暗物质的普适两体物理
Universal Two-body Physics in Dark Matter near an S-wave Resonance
摘要：
小相对速度下的暗物质湮灭率可以通过使用各种机制的大的增强因子来放大，包括索末菲增强、共振增强和布赖特-维格纳增强。这些机制都涉及到一对暗物质粒子在阈值附近的共振。我们指出，如果共振是在S波通道，机制是足够的共振附近的等效和它们的约束下，普遍的两体物理。放大的湮灭率需要弹性散射截面的相应放大。如果共振是低于阈值的束缚态，则其具有与结合能的平方根成反比的增加的寿命。它的空间结构是两个暗物质粒子的空间结构，它们的平均间距也与结合能的平方根成反比。
英文摘要：
The dark matter annihilation rate at small relative velocities can be amplified by a large boost factor using various mechanisms, including Sommerfeld enhancement, resonance enhancement, and Breit-Wigner enhancement. These mechanisms all involve a resonance near the threshold for a pair of dark matter particles. We point out that if the resonance is in the S-wave channel, the mechanisms are equivalent sufficiently near the resonance and they are constrained by universal two-body physics. The amplified annihilation rate requires a corresponding amplification of the elastic scattering cross section. If the resonance is a bound state below the threshold, it has an increased lifetime that is inversely proportional to the square root of the binding energy. Its spatial structure is that of two dark matter particles whose mean separation is also inversely proportional to the square root of the binding energy.
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