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A systematic study of nuclear level densities has been carried out within the relativistic Hartree-Bogoliubov plus combinatorial framework. Calculations were performed for even-even nuclei with available experimental data, based on the…

Nuclear Theory · Physics 2026-05-07 Pengxiang Du , Jian Li

A new scheme to study the properties of finite nuclei is proposed based on the Dirac-Brueckner-Hartree-Fock (DBHF) approach starting from a bare nucleon-nucleon interaction. The relativistic structure of the nucleon self-energies in nuclear…

Using the Kadanoff-Baym non-equilibrium Green's function formalism, we derive the self-consistent Hartree-Fock-Bogoliubov (HFB) collisionless kinetic equations and the associated equation of motion for the condensate wavefunction for a…

Condensed Matter · Physics 2009-10-31 Milena Imamovic-Tomasovic , Allan Griffin

Brueckner-Hartree-Fock theory allows to derive the $G$-matrix as an effective interaction between nucleons in the nuclear medium. It depends on the center of mass momentum $\bm{P}$ of the two particles and on the two relative momenta…

Nuclear Theory · Physics 2018-11-14 Hui Tong , Xiu-Lei Ren , Peter Ring , Shi-Hang Shen , Si-Bo Wang , Jie Meng

The finite-temperature Hartree-Fock-Bogoliubov (HFB) approximation often breaks symmetries of the underlying many-body Hamiltonian. Restricting the calculation of the HFB partition function to a subspace with good quantum numbers through…

Nuclear Theory · Physics 2018-01-23 P. Fanto

The Relativistic Hartree Bogoliubov (RHB) theory is applied in the description of ground-state properties of Ni and Sn isotopes. The NL3 parameter set is used for the effective mean-field Lagrangian, and pairing correlations are described…

Nuclear Theory · Physics 2008-11-26 G. A. Lalazissis , D. Vretenar , P. Ring

We discuss the implications of using an intrinsic Hamiltonian in theories without particle-number conservation, e.g., the Hartree-Fock-Bogoliubov approximation, where the Hamiltonian's particle-number dependence leads to discrepancies if…

Nuclear Theory · Physics 2009-11-18 H. Hergert , R. Roth

Weakly-bound deformed nuclei have been studied by the Skyrme Hartree-Fock-Bogoliubov (HFB) approach in large coordinate-space boxes. In particular, the box-size dependence of the HFB calculations of weakly-bound deformed nuclei are…

Nuclear Theory · Physics 2015-06-17 Y. N. Zhang , J. C. Pei , F. R. Xu

We present the first set of results of solving the Hartree-Fock-Bogoliubov equations, which describe the self-consistent mean field theory with pairing interaction. Calculations for even-even nuclei are carried out on a two-dimensional…

Nuclear Theory · Physics 2007-05-23 E. Teran , V. E. Oberacker , A. S. Umar

Charge radii of Sn, Ba, Yb, and Pb isotopes are calculated within Hartree-Fock-Bogoliubov theory with a Skyrme force and a density-dependent delta-force pairing. We investigate mean field effects of the pairing upon odd-even staggering of…

Nuclear Theory · Physics 2009-11-07 S. Sakakihara , Y. Tanaka

Ground-state properties of spherical even-even nuclei $14\leq Z \leq 28$ and $N=18,20,22$ are described in the framework of Relativistic Hartree Bogoliubov (RHB) theory. The model uses the NL3 effective interaction in the mean-field…

Nuclear Theory · Physics 2008-11-26 D. Vretenar , G. A. Lalazissis , P. Ring

Using the Hartree-Fock-Bogoliubov (HFB) mean field theory in coordinate space, we investigate ground state properties of the sulfur isotopes from the line of stability up to the two-neutron dripline ($^{34-52}S$). In particular, we…

Nuclear Theory · Physics 2009-11-10 V. E. Oberacker , A. S. Umar , E. Teran , A. Blazkiewicz

The exchange part of energy density of the linear Dirac--Hartree--Fock (DHF) model in symmetric nuclear matter is evaluated in a parameter--free closed form and expressed as density functional. After the rearranging terms the relativistic…

Nuclear Theory · Physics 2021-04-27 S. Gmuca , K. Petrik , J. Leja

The self-energy of the Dirac Brueckner-Hartree-Fock calculation in nuclear matter is parametrized by introducing density-dependent coupling constants of isoscalar mesons in the relativistic Hartree-Fock (RHF) approach where isoscalar meson…

Nuclear Theory · Physics 2009-10-28 Hua-lin Shi , Bao-qiu Chen , Zhong-yu Ma

The nuclear structure of even-even and odd lead isotopes (178-236 Pb) is investigated within the Hartree-Fock-Bogoliubov theory. Calculations are performed for a wide range of neutron numbers, starting from the proton-rich side up to the…

Nuclear Theory · Physics 2018-01-10 Younes El Bassem , Mustapha Oulne

An iterative adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) method is developed within the framework of Skyrme density functional theory. The ATDHFB equation is solved iteratively to avoid explicitly calculating the stability…

The Hartree-Fock-Bogoliubov approximation is very useful for treating both long- and short-range correlations in finite quantum fermion systems, but it must be extended in order to describe detailed spectroscopic properties. One problem is…

Nuclear Theory · Physics 2017-08-23 L. M. Robledo , G. F. Bertsch

The nuclear structure of even-even and odd lead isotopes (178-236 Pb) is investigated within the Hartree-Fock-Bogoliubov theory. Calculations are performed for a wide range of neutron numbers, starting from the proton-rich side up to the…

Nuclear Theory · Physics 2018-01-10 Younes El Bassem , Mustapha Oulne

We formulate a continuum linear response theory on the basis of the Hartree-Fock-Bogoliubov formalism in the coordinate space representation in order to describe low-lying and high-lying collective excitations which couple to one-particle…

Nuclear Theory · Physics 2009-11-07 M. Matsuo

A simple and efficient method to treat nuclear pairing correlations within a simple Hartree-Fock--plus-BCS description is proposed and discussed. It relies on the fact that the intensity of pairing correlations depends crucially on level…

Nuclear Theory · Physics 2024-09-18 Meng-Hock Koh , Philippe Quentin