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Manuscript Title: Solving the eigenvalue problem of the nuclear Yukawa-folded mean-field Hamiltonian
Authors: A. Dobrowolski, K. Pomorski, J. Bartel
Program title: yukawa
Catalogue identifier: AEYI_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 199(2016)118
Programming language: Fortran 77.
Computer: Any PC machine.
Operating system: Windows or a system based on Linux.
RAM: bytes: 0.5GB or more
Keywords: Yukawa-folded potential, Mean-field, Anisotropic harmonic-oscillator basis, Matrix elements, Diagonalization of Hamiltonian, Eigenenergies, Eigenfunctions, Shape parametrization.
Classification: 17.19.

Nature of problem:
The full single-particle nuclear Hamiltonian composed of the Yukawa-folded central, spin-orbit and Coulomb potentials is generated and diagonalized. The only symmetry of the problem is the so called z-signature symmetry which limits the nuclear shapes to those, being invariant with respect to a rotation by an angle π around the z-axis.

Solution method:
The mean-field Hamiltonian is expressed in matrix form in the basis of an anisotropic harmonic-oscillator potential written in Cartesian coordinates, where the basis parameters are adjusted to the actual deformed nuclear shape. The eigensolutions of the Hamiltonian are determined by diagonalization of the corresponding matrix.

Running time:
For a nucleus of spherical shape, with the inclusion of NMAX=14 major oscillator shells and including the option of printing out all the eigenfunctions, one program run takes around 7 seconds on an average dual-core 2GHz notebook of 1GB RAM memory. The same type of calculation for a complicated non-axial left-right asymmetric shape requires around 11 seconds.