由散射数据重建光学势
Reconstruction of the optical potential from scattering data
摘要：
提出了一种从散射数据重建光学势的方法。该算法是一个两步的过程。在第一步中，通过求解马尔琴科方程解析地确定势的实部。在这一点上，我们使用相应的酉$S$ -矩阵的对角Padé逼近。在第二步中，通过可变相位方法的相位方程确定电势的虚部。我们假定光学势的实部和虚部成比例。我们利用相位方程来计算比例系数。数值算法的发展为一个单一的和耦合的分波。所开发的程序应用于$^{1}S_{0}$ $NN$、$^{3}SD_{1}$ $NN$、$P31$ $π^{-} N$和$S01$ $K^{+}N$数据的分析。
英文摘要：
We propose a method for reconstruction of the optical potential from scattering data. The algorithm is a two-step procedure. In the first step the real part of the potential is determined analytically via solution of the Marchenko equation. At this point we use a diagonal Padé approximant of the corresponding unitary $S$-matrix. In the second step the imaginary part of the potential is determined via the phase equation of the variable phase approach. We assume that the real and the imaginary parts of the optical potential are proportional. We use the phase equation to calculate the proportionality coefficient. A numerical algorithm is developed for a single and for coupled partial waves. The developed procedure is applied to analysis of $^{1}S_{0}$ $NN$, $^{3}SD_{1}$ $NN$, $P31$ $π^{-} N$ and $S01$ $K^{+}N$ data.
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