Techniques for heavy-ion coupled-channels calculations. II. Iterative solution of the coupled radial equations

Journal Article · Sun Jun 01 04:00:00 EDT 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.21.2436· OSTI ID:5455663

Rhoades-Brown, M; Macfarlane, M H; Pieper, S C

This paper, the second in a series on techniques for heavy-ion coupled-channels calculations, compares various iterative methods for the solution of the coupled radial equations in the interior region of configuration space. We consider the Born-Neumann series, sequential iteration, the method of moments, and Austern's modification of the Sasakawa method. The use of Pade approximants is shown to eliminate convergence problems with Born and sequential iteration. We conclude that sequential iteration with Pade acceleration is the most rapidly convergent and most efficient way of carrying out coupled-channels calculations for heavy-ion inelastic scattering; 0.5% accuracy in cross sections can be achieved with three or four iterations in each partial wave.

• Research Organization: Argonne National Laboratory, Argonne, Illinois 60439
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 5455663
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 21:6; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUNDARY CONDITIONS
CHARGED-PARTICLE REACTIONS
COULOMB FIELD
COUPLED CHANNEL THEORY
CROSS SECTIONS
ELECTRIC FIELDS
FUNCTIONS
HEAVY ION REACTIONS
INELASTIC SCATTERING
ITERATIVE METHODS
MATRICES
MATRIX ELEMENTS
NUCLEAR REACTIONS
PADE APPROXIMATION
S MATRIX
SCATTERING
WAVE FUNCTIONS