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Related papers: HFB Calculations Near the Drip Lines

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We formulate the Jost function formalism based on the Hartree-Fock-Bogoliubov (HFB) theory which has been used to represent the nature of the superfluidity of nucleus. The Jost function based on the HFB can give the analytic representation…

Nuclear Theory · Physics 2019-05-15 K. Mizuyama , N. Nhu Le , T. Dieu Thuy , T. V. Nhan Hao

We investigate unbound single-particle states in pair-correlated drip-line nuclei by describing a low-energy elastic scattering of a neutron in the $s$-wave within the framework of the coordinate space Hartree-Fock-Bogolibov (Bogoliubov-de…

Nuclear Theory · Physics 2019-10-23 Yoshihiko Kobayashi , Masayuki Matsuo

Thermal properties of single species nucleon matter are investigated assuming a simple form of the nucleon-nucleon interaction. The nucleons are placed on a cubic lattice, hopping from site to site and interacting through a spin-dependent…

Nuclear Theory · Physics 2014-11-18 T. Abe , R. Seki , A. N. Kocharian

Beyond mean-field methods are very successful tools for the description of large-amplitude collective motion for even-even atomic nuclei. The state-of-the-art framework of these methods consists in a Generator Coordinate Method based on…

Nuclear Theory · Physics 2014-10-22 B. Bally , B. Avez , M. Bender , P. -H. Heenen

As part of a program to study odd-A nuclei in the Hartree-Fock-Bogoliubov (HFB) theory, we have developed a new calculational tool to find the HFB minima of odd-A nuclei based on the gradient method and using interactions of Gogny's form.…

Nuclear Theory · Physics 2015-06-11 L. M. Robledo , R. Bernard , G. F. Bertsch

A simple model, in which nuclei are represented as homogeneous spheres of symmetric nuclear matter, is used to study the effects of a self-consistent pairing interaction on the nuclear response. Effects due to the finite size of nuclei are…

Nuclear Theory · Physics 2015-05-18 V. I. Abrosimov , D. M. Brink , A. Dellafiore , F. Matera

The Hartree-Fock equation is a fundamental equation in many-electron problems. It is of practical importance in quantum chemistry to find solutions to the Hartree-Fock equation. The self-consistent field (SCF) method is a standard numerical…

Analysis of PDEs · Mathematics 2023-11-17 Sohei Ashida

In order to study structure of proto-neutron stars and those in subsequent cooling stages, it is of great interest to calculate inhomogeneous hot and cold nuclear matter in a variety of phases. The finite-temperature Hartree-Fock-Bogoliubov…

Nuclear Theory · Physics 2020-04-29 Yu Kashiwaba , Takashi Nakatsukasa

Hartree-Fock-Bogoliubov calculations of hot fission in $^{240}\textrm{Pu}$ have been performed with a newly-implemented code that uses the D1S finite-range effective interaction. The hot-scission line is identified in the…

Nuclear Theory · Physics 2009-12-14 W. Younes , D. Gogny

Ground state Hartree-Fock-Bogoliubov (HFB) theory is applied to imbalanced spin-1/2 one-dimensional Fermi systems that are spatially confined by either a harmonic or a hard-wall trapping potential. It has been hoped that such systems, which…

Quantum Gases · Physics 2020-07-01 Kelly R. Patton , Daniel E. Sheehy

We calculate the Schiff moments of the nuclei 199Hg and 211Ra in completely self-consistent odd-nucleus mean-field theory by modifying the Hartree-Fock-Bogoliubov code HFODD. We allow for arbitrary shape deformation, and include the effects…

Nuclear Theory · Physics 2014-11-20 Shufang Ban , Jacek Dobaczewski , Jonathan Engel , A. Shukla

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

A microscopic framework that combines the Hartree-Fock-Bogoliubov (HFB) approach with the fusion by diffusion (FBD) model is proposed to investigate the synthesis mechanism of superheavy nuclei (SHN). For the reaction…

Nuclear Theory · Physics 2026-05-12 Yinu Zhang , Bo Han , Yueping Fang , Long Zhu

We calculate the ground-state properties of well deformed, even-even N=Z nuclei in the region between Ni-56 and Sn-100 within two different approaches, focusing on the binding energy and deformation and pairing properties. First, we employ…

Nuclear Theory · Physics 2008-11-26 L. Bonneau , P. Quentin , K. Sieja

The shell structure of magic nuclei far from stability is discussed in terms of the self-consistent spherical Hartree-Fock-Bogoliubov theory. In particular, the sensitivity of the shell-gap sizes and the two-neutron separation energies to…

Nuclear Theory · Physics 2015-06-26 J. Dobaczewski , W. Nazarewicz , T. R. Werner

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

Background: For nuclei heavier than $^{208}$Pb $\alpha$ decay is a dominating decay mode, and in the search of new superheavy elements one often observes chains of $\alpha$ decays. Purpose: Explore and test microscopic descriptions of…

Nuclear Theory · Physics 2014-02-11 D. E. Ward , B. G. Carlsson , S. Åberg

A systematic numerical investigation of a recently developed nuclear structure approach is presented which diagonalizes the Hamiltonian in the space of the symmetry-projected Hartree-Fock-Bogoliubov (HFB) vacuum and symmetry-projected…

Nuclear Theory · Physics 2008-11-26 E. Bender , K. W. Schmid , Amand Faessler

The ground-state properties and shape evolution of even-even hafnium isotopes ranging from $N=80$ to the neutron dripline are thoroughly examined using Covariant Density Functional Theory (CDFT) with density-dependent effective…

Nuclear Theory · Physics 2025-09-17 Usuf Rahaman

Within the nuclear density functional theory (DFT) we study the effect of reflection-asymmetric shapes on ground-state binding energies and binding energy differences. To this end, we developed the new DFT solver AxialHFB that uses an…

Nuclear Theory · Physics 2013-03-05 E. Olsen , J. Erler , W. Nazarewicz , M. Stoitsov