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Most nuclei are deformed, and these deformations play an important role in various nuclear and astrophysical phenomena. Microscopic nuclear mass models have been developed based on covariant density functional theory to explore exotic…

Nuclear Theory · Physics 2024-12-02 Soonchul Choi , Kyungil Kim , Zhenyu He , Youngman Kim , Toshitaka Kajino

The first results of a new three-dimensional, finite temperature Skyrme-Hartree-Fock+BCS study of the properties of inhomogeneous nuclear matter at densities and temperatures leading to the transition to uniform nuclear matter are…

Solar and Stellar Astrophysics · Physics 2009-05-05 W. G. Newton J. R. Stone

We investigate a gas of superfluid fermionic atoms trapped in two hyperfine states by a spherical harmonic potential. We propose a new regularization method to remove the ultraviolet divergence in the Hartree-Fock-Bogoliubov equations…

Condensed Matter · Physics 2009-02-05 Marcella Grasso , Michael Urban

We present a method based on hyperspherical harmonics to solve the nuclear many-body problem. It is an extension of accurate methods used for studying few-body systems to many bodies and is based on the assumption that nucleons in nuclei…

Nuclear Theory · Physics 2009-11-10 M. Fabre de la Ripelle , S. A. Sofianos , R. M. Adam

Properties of the 1S0 superfluid phase are studied for symmetric nuclear matter at finite temperature. It is described within a covariant hadronic field model, of the sigma-omega type, with addition of density dependent correlations…

Nuclear Theory · Physics 2013-03-06 R. Aguirre

A new method of calculating pairing correlations in coordinate space with finite range interactions is presented. In the Hartree-Fock-Bogoliubov (HFB) approach the mean field part is derived from a Skyrme-type force whereas the pairing…

Nuclear Theory · Physics 2009-11-07 M. Grasso , N. Van Giai , N. Sandulescu

In order to solve the A-body Schr\"odinger equation both accurately and efficiently for open-shell nuclei, a novel many-body method coined as Bogoliubov many-body perturbation theory (BMBPT) was recently formalized and applied at low…

Nuclear Theory · Physics 2020-12-10 Pepijn Demol , Mikael Frosini , Alexander Tichai , Vittorio Somà , Thomas Duguet

After a brief review of the Hartree-Fock-Bogoliubov method with Skyrme effective interactions, we show how it can be applied to the description of various nuclear systems, from finite nuclei to neutron-star crusts.

Nuclear Theory · Physics 2010-02-01 N. Chamel , S. Goriely , J. M. Pearson

An implementation of the Hartree-Fock (HF) method capable of robust convergence for well-behaved arbitrary central potentials is presented. The Hartree-Fock equations are converted to a generalized eigenvalue problem by employing a B-spline…

Atomic Physics · Physics 2021-08-13 D. T. Waide , D. G. Green , G. F. Gribakin

We describe the computational ingredients for an approach to treat interacting fermion systems in the presence of pairing fields, based on path-integrals in the space of Hartree-Fock-Bogoliubov (HFB) wave functions. The path-integrals can…

Strongly Correlated Electrons · Physics 2017-01-30 Hao Shi , Shiwei Zhang

We investigate the thermodynamic properties of an interacting Bose gas with a condensate within the energy-functional formulation of the Hartree-Fock-Bogoliubov (HFB) approach. For a contact interaction, we derive a self-consistent solution…

Quantum Gases · Physics 2025-10-28 M. Bulakhov , A. S. Peletminskii

Calculation of statistical properties of nuclei in a finite-temperature mean-field theory requires projection onto good particle number, since the theory is formulated in the grand canonical ensemble. This projection is usually carried out…

Nuclear Theory · Physics 2018-01-23 P. Fanto , Y. Alhassid , G. F. Bertsch

Rapid progress in developing near- and long-term quantum algorithms for quantum chemistry has provided us with an impetus to move beyond traditional approaches and explore new ways to apply quantum computing to electronic structure…

The deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) has been proved one of the best models to probe the exotic structures in deformed nuclei. In DRHBc, the potentials and densities are expressed in terms of the…

Nuclear Theory · Physics 2020-01-29 Cong Pan , Kaiyuan Zhang , Shuangquan Zhang

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

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…

We have developed a new HFB code that specifically addresses nuclear structure physics near the driplines. The HFB equations are solved on a two-dimensional lattice for axially symmetric even-even nuclei using B-Spline techniques. The…

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

Selfconsistent Hartree-Fock-Bogoliubov (HFB) calculations have been performed with the Gogny force for nuclei along several constant Z and constant N chains, with the purpose of extracting the macroscopic part of the binding energy using…

Nuclear Theory · Physics 2009-11-07 M. Kleban , B. Nerlo-Pomorska , J. F. Berger , J. Dechargé , M. Girod , S. Hilaire

A new Skyrme-like energy density suitable for studies of strongly elongated nuclei has been determined in the framework of the Hartree-Fock-Bogoliubov theory using the recently developed model-based, derivative-free optimization algorithm…

Background: The relativistic Hartree-Fock-Bogoliubov (RHFB) theory has recently been developed and it provides a unified and highly predictive description of both nuclear mean field and pairing correlations. Ground state properties of…

Nuclear Theory · Physics 2015-12-16 Jia Jie Li , Jérôme Margueron , Wen Hui Long , Nguyen Van Giai