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Advances in High Energy Physics
Volume 2016 (2016), Article ID 2398198, 10 pages
Research Article

The Calculation of Single-Nucleon Energies of Nuclei by Considering Two-Body Effective Interaction, , and a Hartree-Fock Inspired Scheme

1Centro de Física Computacional, Department of Physics, University of Coimbra, 3004-516 Coimbra, Portugal
2Centro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal

Received 25 June 2016; Revised 2 September 2016; Accepted 20 September 2016

Academic Editor: Nasser Kalantar-Nayestanaki

Copyright © 2016 H. Mariji. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


The nucleon single-particle energies (SPEs) of the selected nuclei, that is, , , and , are obtained by using the diagonal matrix elements of two-body effective interaction, which generated through the lowest-order constrained variational (LOCV) calculations for the symmetric nuclear matter with the phenomenological nucleon-nucleon potential. The SPEs at the major levels of nuclei are calculated by employing a Hartree-Fock inspired scheme in the spherical harmonic oscillator basis. In the scheme, the correlation influences are taken into account by imposing the nucleon effective mass factor on the radial wave functions of the major levels. Replacing the density-dependent one-body momentum distribution functions of nucleons, , with the Heaviside functions, the role of in the nucleon SPEs at the major levels of the selected closed shell nuclei is investigated. The best fit of spin-orbit splitting is taken into account when correcting the major levels of the nuclei by using the parameterized Wood-Saxon potential and the density-dependent mean field potential which is constructed by the LOCV method. Considering the point-like protons in the spherical Coulomb potential well, the single-proton energies are corrected. The results show the importance of including , instead of the Heaviside functions, in the calculation of nucleon SPEs at the different levels, particularly the valence levels, of the closed shell nuclei.