New method of analytic continuation of elastic-scattering data to the negative-energy region and asymptotic normalization coefficients for $^{17}$O and $^{13}$C
L. D. Blokhintsev, A. S. Kadyrov, A. M. Mukhamedzhanov, D. A. Savin
A new method is proposed for extrapolation of elastic-scattering data to the negative-energy region for a short-range interaction. The method is based on the analytic approximation of the modulus-squared of the partial-wave scattering amplitude. It is shown that the proposed method has an advantage over the traditional one based on continuation of the effective-range function. The new method has been applied to determine the asymptotic normalization coefficients for the $^{17}$O and $^{13}$C nuclei in the $n+^{16}$O and $n+^{12}$C channels, respectively.
Deducing the asymptotic normalization constant of the 2+ subthreshold state in 16O from 12C + alpha elastic scattering
从最近的高精度测量的微分截面推导出的12 C + α弹性散射相移的R-矩阵分析进行。l=0的相移约束R矩阵半径a约5.85 fm,而l=2的相移导致既不对a也不对2+亚阈值状态的渐近归一化常数C(除了宽松的上限)的强约束。这与先前的12 C + α弹性散射的R矩阵分析相矛盾,并解释了在这些分析中获得的C值之间的不相容性。
Extended Optical Model Analyses of Elastic Scattering and Fusion Cross Sections for 6Li + 208Pb System at Near-Coulomb-Barrier Energies by using Folding Potential
基于扩展的光学模型方法,将极化势分解为直接反应(DR)和熔合两部分,对近库仑能区$^{6}$ Li + $^{208}$ Pb体系的弹性散射和熔合截面数据进行了$χ^{2}$分析.折叠电位用作裸电位。结果表明,极化势的DR部分的实部是排斥性的,这与连续介质离散耦合通道(CDCC)计算的结果和折叠势所需的归一化因子是一致的.此外,还发现极化势的DR部分和熔合部分分别满足色散关系。
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。
Determination of asymptotic normalization coefficients for the $^{7}$Li$\to α+ ^{3}$He channel
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University(莫斯科国立大学索博列夫核物理研究所);Institute of Theoretical Physics, National University of Uzbekistan(乌兹别克斯坦国立大学理论物理研究所)
Extended Optical Model Analyses of Elastic Scattering and Fusion Cross Section Data for the $^{12}$C+$^{208}$Pb System at Near-Coulomb-Barrier Energies by using a Folding Potential
Extended Optical Model Analyses of Elastic Scattering and Fusion Cross Section Data for the 7Li+208Pb System at Near-Coulomb-Barrier Energies using the Folding Potential
Influence of low energy scattering on loosely bound states
紧凑的代数方程推导,连接的结合能和渐近归一化常数(ANC)的亚阈值束缚态与相应的分波的有效范围扩展。这些关系是建立为正电荷和中性粒子,使用的散射(S)矩阵在复杂的波数平面的解析延拓。他们的准确性检查简单的本地潜力模型为16 O +N,16 O +P和12 C + α核系统,考虑到外来核和核天体物理学的应用。
An essential singularity of the cotangent of the Coulomb-nuclear phase shift, and a finite limit of the nuclear part of the effective-range function derived at zero energy
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
Validity of the distorted-wave impulse-approximation description of ${}^{40}$Ca$(e,e'p)^{39}$K data using only ingredients from a nonlocal dispersive optical model