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Manuscript Title: Solution of self-consistent equations for the N3LO nuclear energy density functional in spherical symmetry. The program HOSPHE (v1.02)
Authors: B.G. Carlsson, J. Dobaczewski, J. Toivanen, P. Veselý
Program title: HOSPHE (v1.02)
Catalogue identifier: AEGK_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 181(2010)1641
Programming language: Fortran-90.
Computer: PCs and workstations.
Operating system: Linux.
RAM: 50 MB
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.

External routines: LAPACK (http://www.netlib.org/lapack/), BLAS (http://www.netlib.org/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 N3LO [1], 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.

Solution method:
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 N3LO nuclear energy density functional [1]. 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.

Running time:
50 seconds of CPU time for the ground-state of 208Pb described by using the N0 = 50 maximum harmonic-oscillator shell included in the basis.

[1] B.G. Carlsson, J. Dobaczewski, and M. Kortelainen, Phys. Rev. C 78, 044326 (2008).