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Manuscript Title: Single-particle calculations in an axially deformed Woods-Saxon potential with Cassinian ovals parametrization of the shape deformation.
Authors: E. Garrote, R. Capote, R. Pedrosa
Program title: CASSINI
Catalogue identifier: ADCL_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 92(1995)267
Programming language: Fortran.
Computer: AT OR PS/2(R) 80386CPU.
Operating system: DOS v3.00, UNIX DEC OSF/1 V1.2.
RAM: 180K words
Word size: 64
Keywords: Nuclear physics, Energy levels, Wave functions, Schrodinger equation, Woods-saxon potential, Nuclear deformation, Spin-orbit coupling, Coulomb potential, Quadrupole moments, Diagonalization method, Deformed harmonic Oscillator, Liquid-drop model, Unbound states, Independent-particle Model, Cassinian ovals, Collective model.
Classification: 17.20.

Nature of problem:
Single-particle energies and wave functions of an axially deformed Woods-Saxon potential are computed. The Hamiltonian used includes the spin-orbit interaction and the Coulomb potential for protons. The nuclear shape may be defined in terms of an expansion into spherical harmonics or in terms of Cassinian oval parameterization. The standard liquid drop model constants, effective barriers for the unbound states, single-particle quadrupole moments and g-factors are also calculated. The applied shape parameterization of the potential well allows to generate the single particle orbitals also for the extreme deformations, even for two-centre-type problems.

Solution method:
The Hamiltonian is diagonalized in the axially deformed harmonic oscillator basis. All possible couplings between the basis states are included when setting up the Hamiltonian matrix. The matrix elements are computed by numerical integration using the Gauss quadrature formulae.

The maximum number of harmonic oscillator shells used is NMAX=19, but this limit can be increased easily by the user.

Running time:
Depends on the size of harmonic oscillator basis used. In the example where 15 harmonic oscillator shells have been used, the running time is 30 min with compilator Lahey-386 (IBM) and 5 sec for DEC-3000.

[1] S. Cwiok, J. Dudek, W. Nazarewicz, J. Skalski, T. Werner, Comp. Phys. Commun. 46(1987)379.