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
本文介绍一款名为CRADINTEG的计算机程序包，可在电子碰撞激发正离子的库仑玻恩（Coulomb-Born）计算中，求解单极（monopole）与偶极（dipole）项对应的径向积分（radial integrals）。上述积分以超几何函数（hypergeometric functions）形式表示，并通过数值方法计算得到。

程序名称：CRADINTEG
目录编号：ADAD_v1_0

程序所解决的问题
本程序用于电子碰撞激发正离子的库仑玻恩计算中求解径向积分。该积分被定义为多极相互作用（multipolar interaction）在初态与末态库仑散射波函数（Coulomb scattering functions）上的积分。

本程序收录于曼德莱数据（Mendeley Data）的CPC资源库中，相关版本信息为：ADAD_v1_0；CRADINTEG；引用编号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年）。