发表机构
Hubei Polytechnic University; Khalifa University; Islamic University of Madinah（湖北理工学院; 哈利法大学; 麦地那伊斯兰大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究截断银河晕速度边缘处非弹性暗物质散射的同位素依赖效应，提出同位素分辨相干接触率并分离运动学过滤，发现氙同位素差异在边缘被强烈放大，单有效核近似失效，为理论诊断提供定量基准。
AI 中文摘要
受高能氙反冲搜索的启发，我们研究了截断银河系晕速度上限附近与同位素相关的吸热暗物质散射。氙核质量间的微小差异会改变最小入射速度，并且当所需速度接近晕分布末端时，这种差异可能被强烈放大。我们构建了同位素分辨的相干接触率，并将这种运动学过滤与高动量核抑制区分开来。对于$m_\chi=1.1~\TeV$、$\delta=365~\keV$和$E_R=248~\keV$，仅运动学基准给出$f_{136}^{\rm kin}\simeq0.289$，而在Helm权重后，最大贡献为$f_{132}\simeq0.346$，$^{136}$Xe的占比降至$\simeq0.094$。对于固定探测器质量、微观耦合和晕下理想纯同位素靶，相对于天然氙的积分$225$--$271~\keV$响应，$^{129}$Xe、$^{132}$Xe和$^{136}$Xe分别约为$0.404$、$1.235$和$1.693$。单个有效氙核也无法在边缘附近准确重现完整同位素总和，使基准窗口率改变约$8\\%$并产生更大的谱畸变。这些定量结果依赖于高速晕和假定的核响应；与同位素相关的运动学支持则不依赖。该计算是理论层面的诊断，而非LZ似然拟合或逐事件同位素识别。
英文摘要
Motivated by high-energy xenon recoil searches, we study isotope-dependent endothermic dark-matter scattering near the upper speed boundary of a truncated Galactic halo. Small differences among xenon nuclear masses shift the minimum incident speed and can be strongly amplified when the required velocity approaches the end of the halo distribution. We formulate the isotope-resolved coherent-contact rate and separate this kinematic filtering from high-momentum nuclear suppression. For $m_χ=1.1~\TeV$, $δ=365~\keV$, and $E_R=248~\keV$, the kinematic-only benchmark gives $f_{136}^{\rm kin}\simeq0.289$, while after Helm weighting the largest contribution is $f_{132}\simeq0.346$ and the $^{136}$Xe fraction falls to $\simeq0.094$. For idealized pure-isotope targets at fixed detector mass, microscopic coupling, and halo, the integrated $225$--$271~\keV$ responses relative to natural xenon are approximately $0.404$, $1.235$, and $1.693$ for $^{129}$Xe, $^{132}$Xe, and $^{136}$Xe, respectively. A single effective-xenon nucleus also fails to reproduce the full isotope sum accurately near the edge, changing the benchmark window rate by about $8\%$ and producing larger spectral distortions. These quantitative results depend on the high-speed halo and on the assumed nuclear response; the isotope-dependent kinematic support does not. The calculation is a theory-level diagnostic rather than an LZ likelihood fit or event-by-event isotope identification.
Comments11 pages, 5 figures
