Multichannel resonances in complex energy R-matrix theory
Multichannel resonances in complex energy R-matrix theory
复制标题
复杂能量 R 矩阵理论中的多通道共振
DOI：
10.1088/0953-4075/26/18/010
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
P. Burke
中科院分区：
文献类型：
--
作者：
C. Noble;M. Dörr;P. Burke
利用r矩阵理论在复能量平面上的解析延拓，提出了一种确定电子与原子和分子碰撞时共振位置和宽度的方法。该方法对多通道散射的情况特别有效，并且具有允许在给定区域内明确确定共振数的重要优点。通过考虑氢原子的多光子电离和单电荷氧分子离子的电子散射，提供了该技术的多功能性的说明。将结果与拟合特征相和得到的值进行了比较。讨论了新方法的优点。这些包括定位非常窄的共振的能力，以及在涉及许多散射通道的情况下检查散射矩阵的解析结构。
A method for determining the positions and widths of resonances occurring in collisions of electrons with atoms and molecules is developed using an analytic continuation of R-matrix theory into the complex energy plane. The method is particularly effective for the case of multi-channel scattering and has the important advantage of allowing the number of resonances within a given region to be determined unambiguously. Illustrations of the versatility of the technique are provided by considering multiphoton ionization of hydrogen atoms and the scattering of electrons by single-charged oxygen molecular ions. The results are compared to values obtained by fitting the eigenphase sum to a Breit-Wigner form. The advantages of the new approach are discussed. These include the ability to locate very narrow resonances and to examine the analytic structure of the scattering matrix for cases involving many scattering channels.