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Manuscript Title: Nuclear elastic scattering program with parameter search.
Authors: W.R. Smith
Program title: ELASTIC
Catalogue identifier: ACQG_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 1(1970)198
Programming language: Fortran.
Computer: CDC 6600.
Operating system: SCOPE 2.0 HIGHLY MODIFIED.
RAM: 25K words
Word size: 60
Keywords: Nuclear physics, Elastic scattering, Spin-orbit, Coulomb, Woods-saxon, Potential, Local, Nonlocal, Optical model.
Classification: 17.9.

Subprograms used:
Cat Id Title Reference
ABOD_v1_0 SEARCH CPC 1(1969)135
ACQF_v1_0 SCAT CPC 1(1969)106
ACQF_v1_0 0001 ADAPT SCAT TO ELASTIC CPC 1(1969)198

Nature of problem:
Program ELASTIC optimizes the parameters of a nuclear optical model potential including spin-orbit coupling and calculates the angular distribution of the corresponding elastic scattering cross section.

Solution method:
Legendre polynomials and Coulomb phase shifts are calculated by recursion, nuclear phase shifts are obtained with subroutine SCAT, and the cross sections are then calculated at specified angles by summing over partial waves. Subroutine SEARCH is employed to optimize the parameters of the optical model potential.

The program is applicable to any projectile, but only projectiles with 1/2 spin or 1 can be treated with spin-orbit coupling. The Coulomb potential corresponds to a homogeneously charged sphere, the spin-orbit potential is real and its parameters are the same as those for the real part of the central potential, and the maximum number of partial waves is 31, although this number can be easily increased.

Unusual features:
The central potential may be either local or approximately nonlocal.

Running time:
The running time depends greatly on the nature of the parameter search. The test case, which includes a 3-cycle search on two parameters, requires 4.6 seconds to compile and 1.4 seconds to run on the CDC 6600 computer at The University of Texas.