B.G. Carlsson, J. Dobaczewski, J. Toivanen, P. Veselý
Solution of self-consistent equations for the NLO nuclear
energy density functional in spherical symmetry.
Authors: B.G. Carlsson, J. Dobaczewski, J. Toivanen, and P. Veselý
Program Title: HOSPHE (v1.00)
Licensing provisions: none
Programming language: FORTRAN-90
Operating system: Linux
Number of processors used: 1
Keywords: Hartree-Fock, Skyrme interaction, nuclear energy density functional, self-consistent mean-field
PACS: 07.05.Tp, 21.60.-n, 21.60.Jz
Classification: 17.22 Hartree-Fock Calculations
External routines/libraries: LAPACK, BLAS
Nature of problem:
The nuclear mean-field methods constitute principal tools of a description of nuclear states in heavy nuclei. Within the Local Density Approximation with gradient corrections up to NLO , the nuclear mean-field is local and contains derivative operators up to sixth order. The locality allows for an effective and fast solution of the self-consistent equations.
The program uses the spherical harmonic oscillator basis to expand single-particle wave functions of neutrons and protons for the nuclear state being described by the NLO nuclear energy density functional . The expansion coefficients are determined by the iterative diagonalization of the mean-field Hamiltonian, which depends non-linearly on the local neutron and proton densities.
Solutions are limited to spherical symmetry. The expansion on the harmonic-oscillator basis does not allow for a precise description of asymptotic properties of wave functions.
50 sec. of CPU time for the ground-state of Pb described by using the maximum harmonic-oscillator shell included in the basis.