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Manuscript Title: CRCWFN: coupled real Coulomb wavefunctions.
Authors: J.A. Christley, I.J. Thompson
Program title: CRCWFN
Catalogue identifier: ACPT_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 79(1994)143
Programming language: Fortran.
Computer: SUN Sparcstation 2.
Operating system: UNIX.
RAM: 820K words
Word size: 32
Keywords: General purpose, Coupled channels, coulomb-excitation, Schrodinger equation, Heavy-ions.
Classification: 4.5.

Nature of problem:
Solutions to coupled Schrodinger radial equations are calculated for real multipole potentials. The method is particularly suited to Coulomb excitation of heavy ions where multiple coupling is significant to large radii. The subroutine is designed to be used within existing conventional coupled channels codes.

Solution method:
The piecewise analytic method of Gordon [1] is used. The integration range is divided into segments. In each segment the potential is approximated by a straight line and analytic solutions for the straight line potentials (Airy functions) are calculated. First and second order corrections for the approximation of the potential are applied by analytic integrals. Matrix methods are used to find solutions that are continuous and smooth at each boundary.

Restrictions:
The potentials must be real and expressed as a inverse power series of r. The method is not stable in classically forbidden regions (E<V). The subroutine returns the solution and derivative at the end point with no information on the behaviour within the integration region.

Running time:
1.4 CPU seconds execution time for test case (with compiler optimisation).

References:
[1] Gordon R G, J. Chem. Phys. 51(1969) 14-25