Extracting S-matrix poles for resonances from numerical scattering data: Type-II Padé reconstruction

Abstract We present a FORTRAN 77 code for evaluation of resonance pole positions and residues of a numerical scattering matrix element in the complex energy (CE) as well as in the complex angular momentum (CAM) planes. Analytical continuation of the S-matrix element is performed by constructing a type-II Padé approximant from given physical values (Bessis et al. (1994) [42]; Vrinceanu et al. (2000) [24]; Sokolovski and Msezane (2004) [23]). The algorithm involves iterative 'preconditioning' of the num... Title of program: PADE II Catalogue Id: AEHO_v1_0 Nature of problem The package extracts the positions and residues of resonance poles from numerical scattering data supplied by the user. The data can then be used for quantitative analysis of interference patterns observed in elastic, inelastic and reactive integral and differential cross sections. Versions of this program held in the CPC repository in Mendeley Data AEHO_v1_0; PADE II; 10.1016/j.cpc.2010.10.002 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)摘要 本文提供一段FORTRAN 77代码，用于在复能量（complex energy, CE）平面与复角动量（complex angular momentum, CAM）平面上，对数值散射矩阵元的共振极点（resonance poles）位置与留数（residues）进行求值。S矩阵元（S-matrix element）的解析延拓通过从给定物理值构建第二类Padé逼近（Padé approximant）来实现（Bessis等，1994年[42]；Vrinceanu等，2000年[24]；Sokolovski与Msezane，2004年[23]）。该算法涉及对数值量的迭代‘预处理’…… 程序名称：PADE II 目录编号：AEHO_v1_0 问题属性 本程序包可从用户提供的数值散射数据中提取共振极点的位置与留数。所得数据可用于对弹性、非弹性及反应性积分与微分截面中观测到的干涉图样开展定量分析。 存放在Mendeley Data的CPC程序库中的该程序版本：AEHO_v1_0；PADE II；10.1016/j.cpc.2010.10.002 本程序源自贝尔法斯特女王大学维护的CPC程序库（1969年-2018年）