Recently a new $Δ$ method for deducing the energy and asymptotic normalization coefficient (ANC) from phase-shift data has been formulated and applied to resonance states. This differs from the conventional effective-range function (ERF) method by fitting only the nuclear part of the ERF. It also differs from the method which was proposed for bound states by Ramírez Suárez and Sparenberg (see Ref. below) which also named the $Δ$ method where a pole condition defines by the Eq. $Δ_l=0$ ($Δ_l$ is the function in the ERF determined only by the scattering phase shift). Here the standard pole condition, including the Coulomb part into the relate equation, is used for a resonant state. It has been shown that the ERF method does not work for large-charge colliding nuclei. Moreover, even for lower charges it is not clear that the results of the ERF method are accurately enough. The Coulomb part forms a background, which smooths an ERF energy dependence. Therefore, one needs to find when the ERF method becomes inaccurate and this requires recalculating some published results by the $Δ$ method. This project has already been started in a recent paper for resonances in the $α$-$α$ scattering. Here this method is applied using the $Δ_l$-function fittings to the experimental $p$-${}^4$He scattering phase-shift data in the $P_{3/2}$ and $P_{1/2}$ resonance states. The calculation results are compared with those obtained earlier by the ERF method. The main changes concern resonance energy and width.
Relation between widths of proton resonances and neutron asymptotic normalization coefficients in mirror states of light nuclei in a microscopic cluster model
On the phase-shift parameterization and ANC extraction from elastic-scattering data
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。
Extrapolation of scattering data to the negative-energy region. Application to the $p-^{16}$O system
讨论了将散射数据解析延拓到负能区以获得束缚态渐近归一化系数（ANC）信息的问题。结果表明，最近提出的$Δ$方法[O.L.Ram 'ırez Suárez and J.- M. Sparenberg，Phys. Rev. C { \bf 96}，034601（2017）]在数学意义上不是严格正确的，因为它不是分波散射振幅到负能量区域的解析延拓。然而，它可以用于足够大的电荷和碰撞粒子的质量的实际目的。本文将$Δ$方法和有效程函数的标准延拓方法应用于核天体物理研究中感兴趣的$p-^{16}$ O系统。确定了$^{17}$ F的基态$5/2^+$和激发态$1/2^+$的ANC。
Extended Optical Model Analyses of Elastic Scattering and Fusion Cross Section Data for the 9Be+28Si, 144Sm, and 208Pb Systems at Near-Coulomb-Barrier Energies using Double Folding Potential
Folding model analysis of the inelastic $α+^{12}$C scattering at medium energies, and the isoscalar transition strengths of the cluster states of $^{12}$C
