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Related papers: Linear response calculation using the canonical-ba…

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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 new alternate method for evaluating linear response theory is formally developed, and results are presented. This method involves the time-evolution of the system using TDHF and is constructed directly on top of a static Hartree-Fock…

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

We carry out a systematic investigation on the low-energy electric dipole strength, which is often called pygmy dipole resonances (PDR), using the canonical-basis time-dependent Hartree-Fock-Bogoliubov (Cb-TDHFB) method. The Cb-TDHFB is a…

Nuclear Theory · Physics 2015-06-03 Shuichiro Ebata , Takashi Nakatsukasa , Tsunenori Inakura

Systematic investigations of the electric dipole (E1) modes of excitation are performed using the canonical-basis time-dependent Hartree-Fock-Bogoliubov (Cb-TDHFB) theory. The Cb-TDHFB is able to describe dynamical pairing correlations in…

Nuclear Theory · Physics 2014-08-12 Shuichiro Ebata , Takashi Nakatsukasa , Tsunenori Inakura

We carry out systematic investigation of electric dipole (E1) mode from light to heavy nuclei, using a new time-dependent mean field theory: the Canonical-basis Time-Dependent Hartree-Fock-Bogoliubov (Cb-TDHFB) theory. The Cb-TDHFB in the…

Nuclear Theory · Physics 2015-06-03 Shuichiro Ebata , Takashi Nakatsukasa , Tsunenori Inakura

A numerical method to integrate the time-dependent Hartree-Fock Bogoliubov (TDHFB) equations with Gogny interaction is proposed. The feasibility of the TDHFB code is illustrated by the conservation of the energy, particle numbers, and…

Nuclear Theory · Physics 2015-06-04 Yukio Hashimoto

A method of calculating giant resonance strength functions using Time-Dependent Hartree-Fock techniques is described. An application to isoscalar giant monopole resonances in spherical nuclei is made, thus allowing a comparison between…

Nuclear Theory · Physics 2009-11-10 P. D. Stevenson , M. R. Strayer , J. Rikovska Stone , W. G. Newton

A method is presented to obtain the canonical-form solutions of the HFB equation for atomic nuclei with zero-range interactions like the Skyrme force. It is appropriate to describe pairing correlations in the continuum in coordinate-space…

Nuclear Theory · Physics 2009-11-10 Naoki Tajima

The canonical-basis HFB method provides an efficient way to describe pairing correlations involving the continuum part of the single-particle spectrum in coordinate-space representations. It can be applied to super-conducting deformed…

Nuclear Theory · Physics 2015-06-26 Naoki Tajima

Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integro-differential RHFB equations are solved by expanding the different components of the quasi-particle spinors in the…

Nuclear Theory · Physics 2010-04-06 Wen Hui Long , Peter Ring , Nguyen Van Giai , Jie Meng

To describe quantal collective phenomena, it is useful to requantize the time-dependent mean-field dynamics. We study the time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory for the two-level pairing Hamiltonian, and compare results of…

Nuclear Theory · Physics 2018-04-20 F. Ni , T. Nakatsukasa

The Hartree-Fock-Bogoliubov equation for the ground states of even-even atomic nuclei is solved using the canonical representation in the coordinate space for zero range interactions like the Skyrme force. The gradient method is improved…

Nuclear Theory · Physics 2007-05-23 Naoki Tajima

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

We present background concepts of the nuclear density functional theory (DFT) and applications of the time-dependent DFT with the Skyrme energy functional for nuclear response functions. Practical methods for numerical applications of the…

Nuclear Theory · Physics 2013-10-16 T. Nakatsukasa , S. Ebata , P. Avogadro , L. Guo , T. Inakura , K. Yoshida

The Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei (RHFBz) is introduced. The model is based on an effective Lagrangian with density-dependent meson-nucleon couplings in the particle-hole channel, and the pairing…

Nuclear Theory · Physics 2011-08-02 J. -P. Ebran , E. Khan , D. Pena Arteaga , D. Vretenar

We carried out a simulation of heavy ion collision using a time-dependent density functional theory. We call it the canonical-basis time-dependent Hartree-Fock-Bogoliubov theory (Cb-TDHFB) which can describe nuclear dynamics in…

Nuclear Theory · Physics 2015-06-12 Shuichiro Ebata

This work establishes the time-dependent relativistic Hartree-Fock (TD-RHF) model with spherical symmetry for the first time. The time-dependent integro-differential Dirac equations are solved by expanding Dirac spinors on the spherical…

Nuclear Theory · Physics 2024-06-13 Jing Geng , Zhi Heng Wang , Peng Wei Zhao , Yi Fei Niu , Haozhao Liang , Wen Hui Long

A unified view on linear response of interacting systems utilizing multicongurational time-dependent Hartree methods is presented. The cases of one-particle and two-particle response operators for identical particles and up to all-system…

Quantum Physics · Physics 2014-10-20 Ofir E. Alon , Alexej I. Streltsov , Lorenz S. Cederbaum

A self-consistent Quasiparticle-Random-Phase-Approximation (QRPA) model which employs the canonical Hartree-Fock-Bogoliubov (HFB) basis and an energy-density functional with a Skyrme mean field part and a density-dependent pairing, is used…

Nuclear Theory · Physics 2008-12-24 Jun Li , Gianluca Colo' , Jie Meng

The Hartree-Fock-Bogoliubov (HFB) equations in coordinate representation are solved exactly, i.e., with correct asymptotic boundary conditions for the continuous spectrum. The calculations are preformed with effective Skyrme interactions.…

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