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Manuscript Title: Nuclear penetrability and phase shift subroutine.
Authors: W.R. Smith
Program title: SCAT
Catalogue identifier: ACQF_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 1(1969)106
Programming language: Fortran.
Computer: CDC 6600.
Operating system: SCOPE 2.0 (MODIFIED).
RAM: 20K words
Word size: 60
Keywords: Nuclear physics, Woods-saxon, Potential, Reflection factors, Transmission coefficients, Schrodinger equation, Spin orbit, Nonlocal, Scattering, Coulomb, Penetrabilities, Phase shifts, Optical model.
Classification: 17.9.

Revision history:
Type Tit le Reference
adaptation 0001 ADAPT SCAT TO ELASTIC See below
adaptation 0002 ADAPT SCAT TO LIANA See below

Nature of problem:
The subroutine SCAT numerically integrates the radial Schrodinger equation including a complex central Woods-Saxon potential and spin- orbit coupling for the case of a particle scattered by the nuclear and Coulomb force field of a target nucleus. The subroutine provides penetrabilities needed in the treatment of compound nucleus reactions and also phase shifts necessary to calculate elastic scattering and polarization angular distributions and reaction, total elastic and total cross sections.

Solution method:
Starting at the origin, the solution is generated out to two points beyond the nuclear potential where the solution is matched to a linear combination of regular and irregular Coulomb wave functions. The penetrabilities and phase shifts are derived from the coefficients in this linear combination.

Restrictions:
The maximum number of partial waves is 31 and the maximum projectile spin is 1, but both of these numbers can be easily changed by altering the storage allocated to certain variables. The spin-orbit potential is a function of the derivative of the real part of the central potential and is real; however, the imaginary part of the central potential is independent of the real part, and may be any mixture of volume and surface-peaked forms.

Unusual features:
The central potential may be either local or nonlocal, the latter option being treated by means of the local energy approximation.

Running time:
The test case requires 2.5 seconds to compile and 0.2 seconds to run on the CDC 6600 computer at the University of Texas.

ADAPTATION SUMMARY
Manuscript Title: Adaptation of subroutine SCAT for use with program ELASTIC.
Authors: W.R. Smith
Program title: 0001 ADAPT SCAT TO ELASTIC
Catalogue identifier: ACQF_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 1(1970)198
Programming language: Fortran.
Classification: 17.9.

ADAPTATION SUMMARY
Manuscript Title: Adaptation of subroutine SCAT for use with program LIANA.
Authors: W.R. Smith
Program title: 0002 ADAPT SCAT TO LIANA
Catalogue identifier: ACQF_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 1(1970)181
Programming language: Fortran.
Classification: 17.9.