论文标题
用结合核靶标的暗物质检测：泊松声子尾巴
Dark Matter Detection With Bound Nuclear Targets: The Poisson Phonon Tail
论文作者
论文摘要
在固态系统中用核与核散射的暗物质（DM）可能在高能量时会产生弹性核后坐力，而在低能量下的单音激发。当深色物质动量与晶格中的核的动量传播相媲美时，$ q_0 = \ sqrt {2m_nΩ_0} $，其中$ m_n $是核的质量，$ω_0$是光学声子能量，是光子散射状态，是由多声ececitations emperiations empemers empersements empersements emprys empemers empemers empemers empemers empemers。 We study a greatly simplified model of a single nucleus in a harmonic potential and show that, while the mean energy deposited for a given momentum transfer $q$ is equal to the elastic value $q^2/(2m_N)$, the phonon occupation number follows a Poisson distribution and thus the energy spread is $ΔE = q\sqrt{ω_0/(2m_N)}$.该观察结果表明，与弹性散射的预期相比，低阈值量热检测器对亚GEV DM的敏感性可能显着提高，即使通过利用Poisson分布的尾巴对弹性能的声音来利用Poisson分布的尾巴，即使能量阈值高于单个光子能。我们使用一种简单的电子激发模型来争辩说，该多光谱信号也将伴随着由DM电子散射或Migdal效应引起的电离信号。在动机良好的模型中，DM夫妇与沉重的，动力学混合的深色光子夫妇，我们表明这些信号可以通过热冷冻量探测宇宙学DM生产的实验里程碑，包括Majorana Fermion DM的热目标。
Dark matter (DM) scattering with nuclei in solid-state systems may produce elastic nuclear recoil at high energies and single-phonon excitation at low energies. When the dark matter momentum is comparable to the momentum spread of nuclei bound in a lattice, $q_0 = \sqrt{2 m_N ω_0}$ where $m_N$ is the mass of the nucleus and $ω_0$ is the optical phonon energy, an intermediate scattering regime characterized by multi-phonon excitations emerges. We study a greatly simplified model of a single nucleus in a harmonic potential and show that, while the mean energy deposited for a given momentum transfer $q$ is equal to the elastic value $q^2/(2m_N)$, the phonon occupation number follows a Poisson distribution and thus the energy spread is $ΔE = q\sqrt{ω_0/(2m_N)}$. This observation suggests that low-threshold calorimetric detectors may have significantly increased sensitivity to sub-GeV DM compared to the expectation from elastic scattering, even when the energy threshold is above the single-phonon energy, by exploiting the tail of the Poisson distribution for phonons above the elastic energy. We use a simple model of electronic excitations to argue that this multi-phonon signal will also accompany ionization signals induced from DM-electron scattering or the Migdal effect. In well-motivated models where DM couples to a heavy, kinetically-mixed dark photon, we show that these signals can probe experimental milestones for cosmological DM production via thermal freeze-out, including the thermal target for Majorana fermion DM.
