Nature of physical problem Program obtainable from: CPC Program Library, Queen's The subroutine CCOULM calculates regular and irregular University of Belfast, N. Ireland (see application form in Coulomb functions and their derivatives associated with cornthis issue) plex angular momenta. This program may thus be used, for example, in locating Regge poles that appear in atomic and Computer: CDC 6600;Installation: University of Texas Corn-nuclear scattering problems [1]. puter Center Method of solution Operating system: UT-2 The calculation utilizes the asymptotic expansion method of FrΓΆberg [2]. When the asymptotic expansion does not give a Programming language used: FORTRAN IV satisfactory result at a desired p, a larger value is chosen for p and the differential equation is solved inward for the irregular High speed storage required: 10816 words solution. Then the method of Wills [31is used to obtain the regular solution. The complex Coulomb phase shift is obtained Number of bits in a word: 60 by using a subroutine which calculates the logarithm of the gamma function for complex argument. Overlay structure: none Restrictions on the complexity of the problem Number of magnetic tapes required: none Subroutine CCOULM can be used for real values i and si and for complex (as well as real) angular momentum I that satisfy Other peripherals used: card reader, line printer the condition ri 2 << i~and 112 << i~. Even when this condition is not fulfilled, the program may be used with somewhat Number of cards in combined program and test deck: 400 reduced accuracy.
Typical running time Card punching code: CDC
The evaluation of regular and irregular Coulomb wave functions and their derivatives for a given value of l takes about