论文标题
$ r $ -Matrix的观点的光谱因素，重叠和同道对称性
Spectroscopic factors, overlaps, and isospin symmetry from an $R$-matrix point of view
论文作者
论文摘要
背景：光谱因子，重叠和同源对称性通常与单粒子波函数结合使用，用于核结构和反应的现象学分析。文献中有许多将这些数量连接到物理相关的渐近归一化常数或宽度的不同处方，但它们的关系和有效性程度并不总是很清楚。 目的：本文使用明确定义的方法和开始假设得出了上述兴趣量之间的关系。 方法：$ r $ -Matrix理论被用作在这项工作的兴趣数量之间互操作的主要工具。特别关注核表面以外的影响，在核表面之外，在这些核表面受到强烈侵犯的情况。 结果：兴趣量之间的关系得出了。这些方法在核子+$ {}^{} {\ rm c} $，nucleon+$ {}^{16} {\ rm o} $和nucleon+$ {}^{26} {26} {\ rm al} $中的示例应用程序的应用。派生的多层镜像对称性的新方法被得出并应用于$ {}^{18} {\ rm o} $和$ {}^{18} {\ rm ne ne} $的前三个$ 2^+$状态。 结论：澄清关注量之间的关系，并建议使用某些程序。发现第二$ 2^+$状态在$ {}^{18} {\ rm ne}中的第二$ 2^+$状态的渐近归一化常数在$ {}^{18} {18} {\ rm o} $中从镜像状态中推导出来的渐近范围比以前的工作中发现了明显大。这一发现的效果是增加$ {}^{17} {\ rm f}（p，γ）{}^{18} {\ rm ne} $反应速率。
Background: Spectroscopic factors, overlaps, and isospin symmetry are often used in conjunction with single-particle wave functions for the phenomenological analysis of nuclear structure and reactions. Many differing prescriptions for connecting these quantities to physically relevant asymptotic normalization constants or widths are available in the literature, but their relationship and degree of validity are not always clear. Purpose: This paper derives relationships among the above quantities of interest using well-defined methodology and starting assumptions. Method: $R$-matrix theory is used as the primary tool to interoperate between the quantities of interest to this work. Particular attention is paid to effects arising from beyond the nuclear surface, where isospin symmetry is strongly violated. Results: Relationships among the quantities of interest are derived. Example applications of these methods to mirror levels in nucleon+${}^{12}{\rm C}$, nucleon+${}^{16}{\rm O}$, and nucleon+${}^{26}{\rm Al}$ are presented. A new approach to multi-level mirror symmetry is derived and applied to the first three $2^+$ states of ${}^{18}{\rm O}$ and ${}^{18}{\rm Ne}$. Conclusions: The relationship between the quantities of interest is clarified and certain procedures are recommended. It is found that the asymptotic normalization constant of the second $2^+$ state in ${}^{18}{\rm Ne}$ deduced from the mirror state in ${}^{18}{\rm O}$ is significantly larger than found in previous work. This finding has the effect of increasing the ${}^{17}{\rm F}(p,γ){}^{18}{\rm Ne}$ reaction rate in novae.
