AI 中文总结
本文提出利用引力波图像多重性作为暗物质核心坍缩的离散拓扑探针，预测致密残骸存活时五年内可探测到约2个三像系统，而标准CDM仅0.36个，为罕见事件测试。
AI 中文摘要
暗物质自相互作用可以驱动亚晕通过引力热坍缩，但传统的透镜观测量随不确定的内部轮廓连续变化。我们表明，引力波图像多重性提供了一种离散的替代方案。在宏观临界最小值附近，增加亚晕中心会聚度会依次打开两个焦散，将一个可探测波形转换为三个，然后是五个静态图像。使用加权SASHIMI亚晕和ET+CE选择模型，我们预测如果致密残骸存活，五年内几乎有2个系统具有至少三个可探测副本，而标准CDM的预测为五年内0.36个。更具诊断性的第二种情况则很罕见：相应的五年内至少四个可探测副本的产出为0.149，而CDM为$1.55\ imes10^{-6}$。根据泊松统计，这给出了五年内至少探测到一个事件的概率仅为13.8%。因此，这是一个罕见事件、受曝光限制的测试，而非保证探测：一个分辨出的第二对将难以与基准单晕CDM群体相协调，而五年零结果本身并不能强有力地约束残骸存活。
英文摘要
Dark-matter self-interactions can drive subhalos through gravothermal core collapse, but conventional lensing observables vary continuously with uncertain inner profiles. We show that gravitational-wave image multiplicity provides a discrete alternative. Near a macro-critical minimum, increasing subhalo central convergence opens two caustics in sequence, converting one detectable waveform into three and then five stationary images. Using weighted SASHIMI subhalos and an ET+CE selection model, we forecast almost 2 systems with at least three copies detectable in five years if dense remnants survive, compared with the prediction of 0.36 in 5yrs for standard CDM. The much more diagnostic second case is rare: the corresponding 5yrs yield with at least four detectable copies is 0.149, versus $1.55\times10^{-6}$ for CDM. According to the Poisson statistics, this gives only a 13.8\% probability of at least one event detected in 5 years. Thus this is a rare-event, exposure-limited test rather than a guaranteed detection: a resolved second pair would be difficult to reconcile with the fiducial single-halo CDM population, whereas a five-year null result would not by itself constrain remnant survival strongly.
Comments13 pages, 7 figures, comments are welcome
