AI 中文总结
研究太极计划在明亮张量引力波啁啾中对横向标量模式的分辨能力，利用张量零响应推导最小可分辨标量应变分数，发现其在ρ_T=1000时可排除ε_b≳0.532%，阈值随ρ_T反比变化且小失配下可预测。
AI 中文摘要
我们研究太极计划（Taiji）在已识别的明亮张量啁啾信号中，能分辨出的同传播横向标量分量的最小尺度。利用源跟踪的张量零响应，我们将该问题表述为最小可分辨标量应变分数，并在全天范围内对其进行评估。对于张量信噪比ρ_T=1000的一年基准啁啾信号，我们发现太极计划在全天中值水平下可排除横向标量应变分数ε_b≳0.532%。该阈值满足ε_{b,min}∝ρ_T^{-1}的标度关系，因此更明亮的张量事件可探测到相应更小的标量分数。我们进一步发现，在源参数小失配情况下，该亚百分比级分辨能力可通过相关的张量泄漏结构保持可预测性。
英文摘要
We investigate how small a co-propagating transverse-scalar component can be resolved by Taiji in an already identified bright tensor chirp. Using a source-tracked tensor-null response, we formulate the problem in terms of the minimum resolvable scalar strain fraction and evaluate it over the sky. For a one-year benchmark chirp with tensor signal-to-noise ratio $ρ_T=1000$, we find that Taiji can rule out transverse-scalar strain fractions $ε_b\gtrsim0.532\%$ at the all-sky median level. The threshold scales as $ε_{b,\min}\proptoρ_T^{-1}$, so brighter tensor events can probe correspondingly smaller scalar fractions. We further find that this sub-percent resolving power remains predictable under small source-parameter mismatches through the associated tensor-leakage structure.
Comments23 pages, 7 figures, 4 tables
