AI 中文总结
研究利用超微弱矮星系牧夫座I中的宽双星探测扩展暗物质对象，将现有约束推广到扩展暗物质，推导暗物质分数置信限，其在质量 - 半径平面敏感，还应用于超紧凑微晕并推导对原初曲率功率谱的约束。
AI 中文摘要
宽恒星双星是暗物质子结构的灵敏动力学探测器。我们将现有点质量破坏约束推广到球形扩展暗物质对象，并将所得框架应用于超微弱矮星系牧夫座I中识别出的宽双星候选体群体。我们推导了暗物质分数的95%置信限，它是扰动物质量、包含90%质量的半径以及密度分布的函数，考虑了纳瓦罗 - 弗伦克 - 怀特、r^-3/2和r^-9/4模型。足够致密的物体趋近于点质量极限，而有限大小在扰动物体与相关遭遇和双星尺度可比时会抑制双星破坏。这些约束在质量 - 半径平面的广泛区域内对远低于1的暗物质分数仍很敏感，并延伸到比传统微透镜搜索可触及的物体大得多的物体。作为应用，我们将r^-3/2结果映射到超紧凑微晕上，并推导了对原初曲率功率谱的说明性约束。因此，超微弱矮星系宽双星提供了对扩展暗物质对象丰度和小尺度原初曲率功率谱的纯引力探测。
英文摘要
Wide stellar binaries are sensitive dynamical probes of dark matter substructure. We generalize existing point-mass disruption constraints to spherical extended dark objects and apply the resulting framework to the population of wide-binary candidates identified in the ultra-faint dwarf galaxy Bootes I. We derive 95% confidence limits on the dark matter fraction as a function of the perturber mass, the radius enclosing 90% of the mass, and the density profile, considering Navarro-Frenk-White, r^-3/2, and r^-9/4 models. Sufficiently compact objects converge to the point-mass limit, whereas finite size suppresses binary disruption when the perturber becomes comparable to the relevant encounter and binary scales. The constraints remain sensitive to dark matter fractions well below unity over a broad region of the mass-radius plane and extend to objects substantially larger than those accessible to conventional microlensing searches. As an application, we map the r^-3/2 results onto ultracompact minihalos and derive an illustrative constraint on the primordial curvature power spectrum. Ultra-faint-dwarf wide binaries therefore offer a purely gravitational probe of the abundance of extended dark matter objects and of the small-scale primordial curvature power spectrum.
Comments9 pages, 4 figures
