基于有效射程函数的Padé展开式，提出了一种计算带电原子核弹性散射相移的参数化方法。该方法是潜在的独立和输入减少到实验相移和束缚态能量。它允许一个简单的计算共振特性和渐近归一化常数（ANC）的亚阈值束缚态。我们分析了$^{12}$ C $+α$体系的$1^-$和$2^+$相移，并提取了相应束缚态的ANC.对于$1^-$状态，相对于目前可用的最佳值，获得了3倍的改进，在可达性方面获得了10倍的改进。对于$2^+$状态，由于实验相移上相对较大的误差条，没有获得改善。
英文摘要：
We develop a method to parameterize elastic-scattering phase-shifts for charged nuclei, based on Padé expansions of a simplified effective-range function. The method is potential independent and the input is reduced to experimental phase shifts and bound-state energies. It allows a simple calculation of resonance properties and of asymptotic normalization constants (ANCs) of subthreshold bound states. We analyze the $1^-$ and $2^+$ phase shifts of the $^{12}$C$+α$ system and extract the ANCs of the corresponding bound states. For the $1^-$ state, a factor-3 improvement with respect to the best value available today is obtained, with a factor-10 improvement in reach. For the $2^+$ state, no improvement is obtained due to relatively larger error bars on the experimental phase shifts.
Parameterizations of Electron Scattering Form Factors for Elastic Scattering and Electro-Excitation of Nuclear States for $\rm ^{27}Al$ and $\rm ^{40}Ca$
How unique is the Asymptotic Normalisation Coefficient (ANC) method?
从一组不同能量下的质子转移反应导出了顶点$^{10}$ B $\to$ $^9$ Be + p的渐近归一化系数（ANC）.这一组应确保反应的外围特征和弹性通道数据的可用性。与数据的特性和分析相关的问题进行了讨论。对于可用数据集的子组，满足所提取ANC的唯一性属性。然而，在得出明确的结论之前，还需要更多的测量。
Fixing effective range parameters in elastic $α$-$^{12}$C scattering: an impact on resonant $2_4^+$ state of $^{16}$O and $S_{E2}$ factor of $^{12}$C($α$,$γ$)$^{16}$O
