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Related papers: Three-dimensional Skyrme Hartree-Fock-Bogoliubov s…

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We critically examine the Hartree-Fock-Bogoliubov (HFB) solution of the equations of motion for condensate fluctuations in a weakly coupled plasma of charged bosons at finite temperature. Analytic expressions are derived for the first two…

Statistical Mechanics · Physics 2009-11-07 B. Davoudi , A. Minguzzi , M. P. Tosi

We present an extensive review of the two-dimensional finite difference Hartree--Fock (FD HF) method, and present its implementation in the newest version of X2DHF, the FD HF program for atoms and diatomic molecules. The program was…

Computational Physics · Physics 2025-03-12 Jacek Kobus , Susi Lehtola

A study of rotational properties of the ground superdeformed bands in \Hg{0}, \Hg{2}, \Hg{4}, and \Pb{4} is presented. We use the cranked Hartree-Fock-Bogoliubov method with the {\skm} parametrization of the Skyrme force in the…

Nuclear Theory · Physics 2015-06-26 B. Gall , P. Bonche , J. Dobaczewski , H. Flocard , P. -H. Heenen

We present simple equations for a canonical-basis formulation of the time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory. The equations are obtained from the TDHFB theory with an approximation that the pair potential is assumed to be…

A description is presented of how to use the Sky3D time-dependent Hartree-Fock code to calculate giant monopole resonances. This requires modification to the code, and a step-by-step guide of how to make the necessary modification is given.…

Nuclear Theory · Physics 2014-11-21 P. D. Stevenson

A powerful approach to solve the Coulombic quantum three-body problem is proposed. The approach is exponentially convergent and more efficient than the Hyperspherical Coordinate(HC) method and the Correlation Function Hyperspherical…

Atomic Physics · Physics 2007-05-23 Shi-Na Tan

In this work, we have studied ground-state properties of both even-even and odd Nd isotopes within Hartree-Fock-Bogoliubov method with SLy5 Skyrme force in which the pairing strength has been generalized with a new proposed formula. We…

Nuclear Theory · Physics 2015-10-08 Younes El Bassem , Mustapha Oulne

We solve the Hartree-Fock-Bogoliubov (HFB) equations for a spherical mean field and a pairing potential with the inverse Hamiltonian method, which we have developed for the solution of the Dirac equation. This method is based on the…

Nuclear Theory · Physics 2015-06-15 Y. Tanimura , K. Hagino , P. Ring

For several decades it has been known that divergences arise in the ground-state energy and chemical potential of unitary superfluids, where the scattering length diverges, due to particle-hole scattering. Leading textbooks and research…

Quantum Gases · Physics 2025-08-27 Nikolai Kaschewski , Axel Pelster , Carlos A. R. Sá de Melo

The energy levels of the first few low-lying states of helium and lithium atoms in intense magnetic fields up to $\approx 10^8-10^9$~T are calculated in this study. A pseudospectral method is employed for the computational procedure. The…

Quantum Physics · Physics 2014-06-11 Anand Thirumalai , Jeremy S. Heyl

Using the Hartree-Fock-Bogoliubov (HFB) self-consistent mean-field theory with the SkM* Skyrme energy-density functional, we study nuclear structure properties of even-even superheavy nuclei (SHN) of $Z=120$ isotopes and $N=184$ isotones.…

Nuclear Theory · Physics 2018-09-21 A. Kosior , A. Staszczak , Cheuk-Yin Wong

The performance of beyond mean field methods in solving the quantum many body problem for fermions is usually characterized by the correlation energy measured with respect to the underlying mean field value. In this paper we address the…

Quantum Physics · Physics 2022-06-29 Javier Faba , Vicente Martín , Luis Robledo

The ground-state deformations of the Ge isotopes are investigated in the framework of Gogny-Hartree-Fock-Bogoliubov (HFB) and Skyrme Hartree-Fock plus pairing in the BCS approximation. Five different Skyrme parametrizations are used to…

Nuclear Theory · Physics 2008-11-26 Lu Guo , J. A. Maruhn , P. -G. Reinhard

We develop a new method of implementing the Hartree-Fock calculations. A class of Gaussian bases is assumed, which includes the Kamimura-Gauss basis-set as well as the set equivalent to the harmonic-oscillator basis-set. By using the…

Nuclear Theory · Physics 2011-07-19 H. Nakada , M. Sato

It is well-known that in bulk, the solution of the Bogoliubov-de Gennes equations is the same whether or not the Hartree-Fock term is included. Here the Hartree-Fock potential is position independent and, so, gives the same contribution to…

Superconductivity · Physics 2015-05-14 Yajiang Chen , M. D. Croitoru , A. A. Shanenko , F. M. Peeters

The equation of state of asymmetric nuclear matter as well as the neutron and proton effective masses and their partial-wave and spin-isospin decomposition are analyzed within the Brueckner--Hartree--Fock approach. Theoretical uncertainties…

Nuclear Theory · Physics 2024-04-05 Isaac Vidaña , Jérôme Margueron , Hans-Josef Schulze

Decoding of linear space-time block codes (STBCs) with sphere-decoding (SD) is well known. A fast-version of the SD known as fast sphere decoding (FSD) has been recently studied by Biglieri, Hong and Viterbo. Viewing a linear STBC as a…

Information Theory · Computer Science 2015-03-14 G. R. Jithamithra , B. Sundar Rajan

While superfluidity is accurately grasped with a state that explicitly breaks the particle number symmetry, a precise description of phenomena like the particle transfer during heavy-ion reactions can only be achieved by considering systems…

Nuclear Theory · Physics 2019-06-26 D. Regnier , D. Lacroix

We introduce a natural and simple to implement renormalization scheme of the Hartree-Fock-Bogoliubov (HFB) equations for the case of zero range pairing interaction. This renormalization scheme proves to be equivalent to a simple energy…

Nuclear Theory · Physics 2007-05-23 Aurel Bulgac , Yongle Yu