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Density functional theory is a preferred microscopic method for calculation of nuclear properties over the whole nuclear chart. Besides ground-state properties, which are calculated by Hartree-Fock theory, nuclear excitations can be…

Nuclear Theory · Physics 2020-06-02 Anton Repko

Two important ingredients of nuclear shell-structure, kinetic energy and spin-orbit splitting, are studied as a function of orbital angular momenta \ell and binding energies, when binding energies of neutrons decrease towards zero. If we…

Nuclear Theory · Physics 2009-11-06 I. Hamamoto , S. V. Lukyanov , X. Z. Zhang

We investigate the possibility that some nuclei show density distributions with a depletion in the center, a semi-bubble structure, by using a Hartree-Fock plus Bardeen-Cooper-Schrieffer approach. We separately study the proton, neutron and…

Nuclear Theory · Physics 2018-03-21 G. Co' , M. Anguiano , V. De Donno , A. M. Lallena

We compute the nuclear spin-orbit coupling from the Skyrme model. Previous attempts to do this were based on the product ansatz, and as such were limited to a system of two well-separated nuclei. Our calculation utilises a new method, and…

High Energy Physics - Theory · Physics 2018-08-31 Derek Harland , Nicholas S. Manton

The density matrix expansion (DME) of Negele and Vautherin is a convenient tool to map finite-range physics associated with vacuum two- and three-nucleon interactions into the form of a Skyme-like energy density functional (EDF) with…

Nuclear Theory · Physics 2015-03-13 B. Gebremariam , S. K. Bogner , T. Duguet

The splitting of single-particle energies between spin-orbit partners in nuclei is examined in the framework of different self-consistent approachs, non-relativistic as well as relativistic. Analytical expressions of spin-orbit potentials…

Nuclear Theory · Physics 2009-11-06 M. Lopez-Quelle , N. Van Giai , S. Marcos , and L. N. Savushkin

Ground state energies and decay widths of particle unstable nuclei are calculated within the Hartree-Fock approximation by performing a complex scaling of the many-body Hamiltonian. Through this transformation, the wave functions of the…

Nuclear Theory · Physics 2009-01-23 A. T. Kruppa , P. -H. Heenen , H. Flocard , R. J. Liotta

Much interest has been devoted to the shape evolution of neutron-rich Si isotopes recently both experimentally and theoretically. We provide our study of $^{28-42}$Si by Skyrme-Hartree-Fock model with BCS approximation for the pairing…

Solar and Stellar Astrophysics · Physics 2013-05-14 A. Li , X. R. Zhou , H. Sagawa

We calculate positions of one- and two-particle, proton and neutron drip lines within the Hartree-Fock-Bogoliubov theory using Skyrme interaction. We also determine an approximate $r$-process path defined as a line where the neutron binding…

Nuclear Theory · Physics 2008-11-26 R. Smolańczuk , J. Dobaczewski

Pairing properties of even-even superheavy N=184 isotones are studied within the Skyrme-Hartree-Fock+BCS approach. In the particle-hole channel we take the Skyrme energy density functional SLy4, while in the particle-particle channel we…

Nuclear Theory · Physics 2008-11-26 A. Staszczak , J. Dobaczewski , W. Nazarewicz

Calculations for infinite nuclear matter with realistic nucleon-nucleon interactions suggest that the isoscalar effective mass (IEM) of a nucleon at the saturation density equals $m^*/m\sim 0.8\pm 0.1$, at variance with empirical data on…

Nuclear Theory · Physics 2015-05-14 M. Zalewski , P. Olbratowski , W. Satula

Shape evolution of Zr nuclei are investigated by the axial Hartree-Fock (HF) calculations using the semi-realistic interaction M3Y-P6, with focusing on roles of the tensor force. Deformation at $N\approx 40$ is reproduced, which has not…

Nuclear Theory · Physics 2019-01-30 S. Miyahara , H. Nakada

The nuclear binding energy is studied using a finite temperature density functional theory. A Skyrme interaction is used in this work. Volume, surface, and symmetry energy contributions to the binding energy are investigated. The case of…

Nuclear Theory · Physics 2012-10-02 S. J. Lee , A. Z. Mekjian

We extend a recent calculation of the nuclear energy density functional in the framework of chiral perturbation theory by computing the isovector surface and spin-orbit terms: $(\vec \nabla \rho_p- \vec \nabla \rho_n)^2 G_d(\rho)+ (\vec…

Nuclear Theory · Physics 2014-11-20 N. Kaiser

Nucleon density distributions and nucleus-nucleus interaction potentials for the reactions $^{16}$O+$^{40}$Ca, $^{16}$O+$^{56}$Fe and $^{16}$O+$^{90}$Zr have been calculated in the framework of the modified Thomas-Fermi method and…

Nuclear Theory · Physics 2023-01-12 V. A. Nesterov , O. I. Davydovska , V. Yu. Denisov

The variational principle is used to build a model which describes open shell nuclei with ground state deformations. Hartree-Fock equations are solved by using single particle wave functions whose radial parts depend on the projection of…

Nuclear Theory · Physics 2021-07-22 G. Co , M. Anguiano , A. M. Lallena

We review the prediction of fission properties of super-heavy elements (SHE) by self-consistent mean-field models thereby concentrating on the widely used Skyrme-Hartree-Fock (SHF) approach. We explain briefly the theoretical tools: the SHF…

Nuclear Theory · Physics 2018-04-04 P. -G. Reinhard

We report on a study of the charged-skyrmion or spin-texture excitations which occur in quantum Hall ferromagnets near odd Landau level filling factors. Particle-hole symmetry is used to relate the spin-quantum numbers of charged particle…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 H. A. Fertig , L. Brey , R. Cote , A. H. MacDonald , A. Karlhede , S. L. Sondhi

The neutron-proton Fermi-energy difference and the correlation to nucleon separation energies for some magic nuclei are investigated with the Skyrme energy density functionals and nuclear masses, with which the nuclear symmetry energy at…

Nuclear Theory · Physics 2013-03-28 Ning Wang , Li Ou , Min Liu

We study weakly-bound deformed nuclei based on the coordinate-space Skyrme Hartree-Fock-Bogoliubov approach, in which a large box is employed for treating the continuum and surface diffuseness. Approaching the limit of core-halo deformation…

Nuclear Theory · Physics 2015-06-12 J. C. Pei , Y. N. Zhang , F. R. Xu