Vacuum-polarization potentials of extended nuclear charges

Abstract
FORTRAN program VACPOL is presented that calculates accurately and efficiently the first-order vacuum-polarization potential of two electric charges as a function of their separation. The charges can be extended, with distributions specified by density functions that are most often used to model the distribution of charge in atomic nuclei. The code employs analytical methods of calculation, utilizing a Fourier-Bessel expansion of the potential and an analytical evaluation of the finite-radius...

Title of program: VACPOL
Catalogue Id: ACVM_v1_0

Nature of problem
The first-order vacuum-polarization correction of quantum electrodynamics to the Coulomb potential of a point charge is the so-called Uehling potential. The first-order vacuum-polarization potential due to two extended charges is obtained by folding the Uehling potential with the density distributions of the two charges. The program calculates such a potential as a function of the distance between the centres of the two density distributions, which can have the functional forms that are most oft ...

Versions of this program held in the CPC repository in Mendeley Data
ACVM_v1_0; VACPOL; 10.1016/0010-4655(94)90036-1

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要：本文提出了一种FORTRAN程序VACPOL，该程序能够精确且高效地计算两个电荷之间的一阶真空极化势，该势是电荷分离的函数。这些电荷可以是延展的，其分布由密度函数指定，这些密度函数通常用于模拟原子核中电荷的分布。该代码采用解析计算方法，利用势的傅里叶-贝塞尔展开以及有限半径的解析评估来计算该势。

程序标题：VACPOL

目录编号：ACVM_v1_0

问题性质：量子电动力学对点电荷库仑势的一阶真空极化修正被称为Uehling势。由两个延展电荷引起的一阶真空极化势是通过将Uehling势与两个电荷的密度分布相叠加得到的。该程序计算这种势作为两个密度分布中心的距离的函数，这些函数形式通常为...

Mendeley数据中CPC存储库中保存的此程序版本：ACVM_v1_0; VACPOL; 10.1016/0010-4655(94)90036-1

该程序已从贝尔法斯特女王大学（1969-2019年）的CPC程序库导入。