一个警示性的故事：$^\mathbf{17}$ O中$\mathbf{1/2^+_2}$态的库仑修正ANC
A Cautionary Tale: The Coulomb Modified ANC for the $\mathbf{1/2^+_2}$ State in $^\mathbf{17}$O
摘要：
我们讨论的不确定性（$\pm 8$ keV）的影响，在天体物理上重要的6.356 MeV $1/2^+_2$状态的$^{17}$ O的库仑约化ANC（$\widetilde{C}$）的精确度上的激发能量的$\left<^{17}\mathrm{O}(1/2^+_2) \mid \protect{^{13}\mathrm{C}} + α\right>$重叠可以从直接反应数据中提取。我们发现$\widetilde{C}^2$的结合能的线性依赖关系，提取的值变化的范围$E_{\mathrm{ex}} = 6.356$ - $6.348$兆电子伏的4倍。这代表了可以测定$\widetilde{C}^2$的精度的固有限制，除非或直到$E_{\mathrm{ex}}$的不确定性降低，否则无法改善该限制。
英文摘要：
We discuss the impact of the uncertainty ($\pm 8$ keV) in the excitation energy of the astrophysically important 6.356 MeV $1/2^+_2$ state of $^{17}$O on the precision with which the Coulomb reduced ANC ($\widetilde{C}$) for the $\left<^{17}\mathrm{O}(1/2^+_2) \mid \protect{^{13}\mathrm{C}} + α\right>$ overlap can be extracted from direct reaction data. We find a linear dependence of $\widetilde{C}^2$ on the binding energy, the value extracted varying by a factor of 4 over the range $E_{\mathrm{ex}} = 6.356$ -- $6.348$ MeV. This represents an intrinsic limit on the precision with which $\widetilde{C}^2$ can be determined which cannot be improved unless or until the uncertainty in $E_{\mathrm{ex}}$ is reduced.
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