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Manuscript Title: Single particle calculations for a Woods-Saxon potential with
triaxial deformations, and large Cartesian oscillator basis (TRIAXIAL 2014,
Third version of the code Triaxial) | ||

Authors: B. Mohammed-Azizi, D.E. Medjadi | ||

Program title: Triaxial2014 | ||

Catalogue identifier: ADSK_v3_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 185(2014)3067 | ||

Programming language: FORTRAN 77/90 (double precision). | ||

Computer: PC. Pentium 4, 2600MHz and beyond. | ||

Operating system: WINDOWS XP, WINDOWS 7, LINUX. | ||

RAM: 256 Mb (depending on nmax). Swap file: 4Gb (depending on nmax) | ||

Keywords: Nuclear physics, Energy levels, Wave functions, Schrödinger equation, Woods-Saxon potential. | ||

PACS: 07.05.Tp, 21.60.-n, 21.60.-cs. | ||

Classification: 17.7. | ||

Does the new version supersede the previous version?: Yes | ||

Nature of problem:The Single particle energies and the single particle wave functions are calculated from one-body Hamiltonian including a central field of Woods-Saxon type, a spin-orbit interaction, and the Coulomb potential for the protons. We consider only ellipsoidal (triaxial) shapes. The deformation of the nuclear shape is fixed by the usual Bohr parameters (β,γ) | ||

Solution method:The representative matrix of the Hamiltonian is built by means of the Cartesian basis of the anisotropic harmonic oscillator, and then diagonalized by a set of subroutines of the EISPACK library. Two quadrature methods of Gauss are employed to calculate respectively the integrals of the matrix elements of the Hamiltonian, and the integral defining the Coulomb potential. Two quantum numbers are conserved: the parity and the signature. Due to the Kramers degeneracy, only positive signature is considered. Therefore, calculations are made for positive and negative parity separately (with positive signature only). | ||

Reasons for new version:Now, there are several ways to obtain the eigenvalues and the eigenfunctions. The eigenvalues can be obtained from the subroutine 'eigvals' or from the array 'energies' or also from the formatted files 'valuu.dat', 'eigenvalo.dat', 'eigenva.dat' or better from the unformatted file 'eigenvaunf.dat'. The eigenfunctions can be obtained straightforwardly in configuration space from the subroutine 'eigfunc' or by their components on the oscillator basis from the subroutine 'compnts'. The latter are also recorded on a formatted file 'componento.dat' or on an unformatted file 'componentounf.dat'. | ||

Summary of revisions:This version is characterized by the fact that the eigenvalues and the eigenfunctions can be given by specific subroutines which did not exist in the old versions (2004 and 2007) of the program. Moreover, the eigenvalues and the eigenfunctions can also be deduced directly from files. It is to be noted that this version is now written in free format. All these reasons contribute to make the use of this code easier. | ||

Restrictions:There are two restrictions for the code: The number of the major shells of the basis should not exceed Nmax=26 (which is very sufficient in usual cases) For the largest values of Nmax (~23-26), the diagonalization takes the major part of the running time, but the global run-time remains reasonable. | ||

Additional comments:Software used: (1) COMPAC VISUAL FORTRAN (with full optimizations in the settings project options on WINDOWS XP); (2) SILVERFROST PLATO VERSION 4.63 (with debug.net option on WINDOWS 7); (3) APPROXIMATRIX SIMPLY FORTRAN VERSION 2.13 BUILD (on WINDOWS XP and WINDOWS 7). | ||

Running time:(With full optimization in the project settings of the Compaq Visual Fortran on Windows XP ) With NMAX=23, for the neutrons case, the running time is about 50 sec on the intel core i5 processor. |

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