AI 中文总结
本文基于集团有效场论联合分析¹⁶N β延迟α谱与α-¹²C散射，优化拟合质量并确定相关实验与模型灵敏度，为后续统一分析奠定基础。
AI 中文摘要
¹⁶N的β延迟α衰变（BDAD）探测与¹²C(α,γ)¹⁶O低能E1跃迁相关的p波α-¹²C连续谱。我们在集团有效场论框架内分析Azuma等人和Tang等人的谱，分别对其进行拟合，同时采用相同的弹性散射数据。基线八参数拟合得到Azuma谱的χ²_A/N_A=1.732，Tang谱的χ²_T/N_T=2.028，较对应的固定传播子值（分别为4.06和3.56）大幅提升。原始联合拟合得到Azuma数据的χ²_A/N_A=4.319、Tang数据的χ²_T/N_T=10.901、弹性散射数据的χ²_el/N_el=6.366；采用扇区平衡加权后，对应值分别为3.308、8.993、6.466。因此，降低相对弹性权重可改善BDAD扇区，但无法恢复独立拟合的质量。共同的强参数与归一化比保持稳定，而拟合得到的弱流系数取决于目标。两个谱分别与共同的强连续谱兼容，但最小共同弱流振幅无法同时重现两者，其拟合系数也取决于目标。这些结果确定了未来包含辐射俘获的统一分析中必须传递的实验与模型灵敏度。
英文摘要
The $β$-delayed $α$ decay (BDAD) of $^{16}$N probes the $p$-wave $α$-$^{12}$C continuum relevant to the low-energy $E1$ transition of $^{12}$C$(α,γ)^{16}$O. We analyze the spectra of Azuma \textit{et al.} and Tang \textit{et al.} within cluster effective field theory, fitting each independently together with the same elastic-scattering data. The baseline eight-parameter fits yield $χ^2_{\rm A}/N_{\rm A} = 1.732$ for the Azuma spectrum and $χ^2_{\rm T}/N_{\rm T} = 2.028$ for the Tang spectrum, substantially improving upon the corresponding fixed-propagator values of 4.06 and 3.56, respectively. The raw simultaneous fit yields $χ^2_{\rm A}/N_{\rm A} = 4.319$, $χ^2_{\rm T}/N_{\rm T} = 10.901$, and $χ^2_{\rm el}/N_{\rm el}= 6.366$ for the Azuma, Tang, and elastic-scattering data, respectively. With sector-balanced weighting, the corresponding values are 3.308, 8.993, and 6.466, respectively. Thus, reducing the relative elastic weight improves the BDAD sectors but does not recover the quality of the independent fits. The common strong parameters and normalization ratio remain stable, whereas the fitted weak-current coefficients depend on the objective. The two spectra are separately compatible with a common strong continuum, but the minimal common weak-current amplitude does not reproduce them simultaneously; its fitted coefficients also depend on the objective. These results define the experimental and model sensitivities that must be propagated in a future unified analysis including radiative capture.
Comments37 pages, 11 figures
