Radial integrals in the Coulomb-Born approximation: multipole transitions. A. Ohsaki, A. Igarashi, T. Kai, S. Nakazaki.

PROGRAM SUMMARY
Title of program: CRIMPT2W
Catalogue identifier: ADQE
Ref. in CPC: 147(2002)826
Distribution format: gzip file
Operating system: Windows, Unix
Number of bits in a word: 32
Number of lines in distributed program, including test data, etc: 1094
Keywords: Coulomb Born approximation, Multipole transition, Radial matrix element, Analytic expression, Appell function, Complex gamma function, Atomic physics, Wave function.
Programming language used: Fortran
Computer: Sony PCV-L450G , Unix workstation .

Nature of physical problem:
This program calculates radial integrals in the Coulomb-Born approximation with respect to the electron impact excitations of positive ions. The integral is defined as an integral of the multipolar interaction over the initial and final Coulomb scattering functions.

Method of solution:
The radial integrals for the multipole are evaluated in terms of analytic Appell functions.

Restrictions:
This program calculates the Coulomb radial integrals using the analytic continuation formula with respect to Appell function F2(alpha, beta, beta', gamma, gamma'; x, y) especially for |x|, |y| > 1.

Typical running time:
This program is tested on our personal computer, Sony PCV-L450G (Celeron 600MHz), using the Fujitsu FORTRAN 95 compiler. The total running time of test run was 0.06 seconds. The running time will depend on parameters: angular momenta lambda, Li, Lf, wave numbers ki, kf, Sommerfeld parameters etaI, etaf, and screening parameter q.