Radial integrals in the Coulomb-Born approximation

Abstract This paper describes a computer program package CRADINTEG which evaluates the radial integrals for the monopole and dipole terms in the Coulomb-Born calculation of the excitation of positive ions by electron impact. The integrals are expressed in terms of hypergeometric functions, which are numerically obtained. Title of program: CRADINTEG Catalogue Id: ADAD_v1_0 Nature of problem This program calculates radial integrals in the Coulomb-Born calculation of the excitation of positive ions by electron impact. The integral is defined as an integral of the multipolar interaction over the initial and final Coulomb scattering functions. Versions of this program held in the CPC repository in Mendeley Data ADAD_v1_0; CRADINTEG; 10.1016/0010-4655(94)00126-M This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)摘要 本文介绍了一款计算机程序包CRADINTEG，其可用于电子碰撞激发正离子的库仑-玻恩（Coulomb-Born）计算中，针对单极（monopole）与偶极（dipole）项的径向积分（radial integrals）进行求值。该积分以超几何函数（hypergeometric functions）形式表达，并可通过数值方法获取计算结果。 程序名称：CRADINTEG 目录编号：ADAD_v1_0 问题属性 本程序用于电子碰撞激发正离子的库仑-玻恩计算场景，用于计算径向积分。该积分被定义为多极相互作用（multipolar interaction）在初始与终态库仑散射函数（Coulomb scattering functions）上的积分。 门德列数据（Mendeley Data）中CPC库存储的本程序版本：ADAD_v1_0；CRADINTEG；10.1016/0010-4655(94)00126-M 本程序源自贝尔法斯特女王大学维护的CPC程序库（1969-2019）