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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

We study the spinodal instabilities of asymmetric nuclear matter at finite temperature within the microscopic Brueckner--Hartree--Fock (BHF) approximation using the realistic Argonne V18 nucleon-nucleon potential plus a three-body force of…

Nuclear Theory · Physics 2008-11-26 Isaac Vidana , Artur Polls

By performing fully 3D symmetry-unrestricted Skyrme-Hartree-Fock-Bogoliubov calculations, we discuss shape coexistence and possibility of exotic deformations simultaneously breaking the reflection and axial symmetries in proton-rich N=Z…

Nuclear Theory · Physics 2009-11-06 M. Yamagami , K. Matsuyanagi , M. Matsuo

The coordinate-space representation of the Hartree-Fock-Bogoliubov theory is the method of choice to study weakly bound nuclei whose properties are affected by the quasiparticle continuum space. To describe such systems, we developed a…

Nuclear Theory · Physics 2022-03-28 Mengzhi Chen , Tong Li , Bastian Schuetrumpf , Paul-Gerhard Reinhard , Witold Nazarewicz

Strongly deformed oblate superheavy nuclei form an intriguing region where the toroidal nuclear structures may bifurcate from the oblate spheroidal shape. The bifurcation may be facilitated when the nucleus is endowed with a large angular…

Nuclear Theory · Physics 2017-05-31 A. Staszczak , Cheuk-Yin Wong , A. Kosior

With the use of the symmetry-unrestricted cranked Skyrme-Hartree-Fock method in the three-dimensional coordinate-mesh representation, we have carried out a systematic theoretical search for the superdeformed and hyperdeformed rotational…

Nuclear Theory · Physics 2009-11-07 T. Inakura , S. Mizutori , M. Yamagami , K. Matsuyanagi

The superdeformation (SD) in non-rotating states is studied with the HF+BCS method using the Skyrme interaction. In applying the BCS theory, the seniority pairing force is employed, of which strengths are determined in order to reproduce…

Nuclear Theory · Physics 2009-10-31 Satoshi Takahara , Naoki Tajima , Naoki Onishi

Large-scale models of nuclear structure are currently the only way to provide consistent datasets for the many properties of thousands of exotic nuclei that are required by nucleosynthesis simulations. In [W.Ryssens et al., Eur. Phys. J. A…

Nuclear Theory · Physics 2023-05-09 Wouter Ryssens , Guillaume Scamps , Stephane Goriely , Michael Bender

The nuclear time-dependent Hartree-Fock model formulated in the three-dimensional space,based on the full Skyrme energy density functional and complemented with the tensor force,is presented for the first time. Full self-consistency is…

Nuclear Theory · Physics 2015-03-03 S. Fracasso , E. B. Suckling , P. D. Stevenson

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…

Superdeformed configurations in 32S, and in neighboring nuclei 33S, 31S, 33Cl, and 31P, are determined within the Hartree-Fock approach with the Skyrme interaction. Energies, angular momenta, quadrupole moments, particle-emission Q-values,…

Nuclear Theory · Physics 2009-10-31 H. Molique , J. Dobaczewski , J. Dudek

We present a systematic analysis of the description of odd nuclei by the Skyrme-Hartree-Fock approach augmented with pairing in BCS approximation and blocking of the odd nucleon. Current and spin densities in the Skyrme functional produce…

Nuclear Theory · Physics 2010-11-08 K. J. Pototzky , J. Erler , P. -G. Reinhard , V. O. Nesterenko

We describe the new version (v2.38j) of the code HFODD which solves the nuclear Skyrme-Hartree-Fock or Skyrme-Hartree-Fock-Bogolyubov problem by using the Cartesian deformed harmonic-oscillator basis. In the new version, we have…

Background: The symmetry-unrestricted Hartree-Fock-Bogoliubov (HFB) simulation is important for describing various quantum many-body systems. However, the HFB problem in Cartesian coordinate space is numerically challenging. Purpose: For…

Nuclear Theory · Physics 2021-11-02 Yue Shi , Nobuo Hinohara

There are many complementing strategies to estimate the extrapolation errors of a model which was calibrated in least-squares fits. We consider the Skyrme-Hartree-Fock model for nuclear structure and dynamics and exemplify the following…

Nuclear Theory · Physics 2015-06-22 J. Erler , P. -G. Reinhard

We investigate the stability and softness of nuclei against quadrupole, octupole, and hexadecapole deformation. By applying the spherical Skyrme-force Hartree-Fock Bardeen-Cooper-Schrieffer quasi-particle random phase approximation, we…

Nuclear Theory · Physics 2026-02-16 Le-Anh Nguyen , Minh-Loc Bui , Panagiota Papakonstantinou , Naftali Auerbach

Self-consistent axially symmetric Skyrme Hartree-Fock plus BCS calculations are performed to study the evolution of shapes with the number of nucleons in various chains of Yb, Hf, W, Os, and Pt isotopes from neutron number N=110 up to…

Nuclear Theory · Physics 2008-11-03 P. Sarriguren , R. Rodriguez-Guzman , L. M. Robledo

A method for incorporating the effect of the resonant continuum into Hartree-Fock+BCS equations is proposed. The method is applied for the case of a neutron-rich nucleus calculated with a Skyrme-type force plus a zero-range pairing…

Nuclear Theory · Physics 2016-09-08 N. Sandulescu , Nguyen Van Giai , R. J. Liotta

We study the evolution of $K^{\pi}=6^{+}$ and $8^{-}$ two-quasiparticle (q.p.) configurations in the isotopic and isotonic chains of even-even deformed nuclei around $^{178}$Hf and their ability to describe series of observed $K$-isomer…

Nuclear Theory · Physics 2024-08-21 N. Minkov , L. Bonneau , P. Quentin , J. Bartel , H. Molique , Meng-Hock Koh

A study of the charge and matter densities and the corresponding rms radii for even-even isotopes of Ni, Kr, and Sn has been performed in the framework of deformed self-consistent mean field Skyrme HF+BCS method. The resulting charge radii…

Nuclear Theory · Physics 2008-11-26 P. Sarriguren , M. K. Gaidarov , E. Moya de Guerra , A. N. Antonov