Efficient method for computing the Thouless-Valatin inertia parameters

Type: Article

Publication Date: 2012-09-25

Citations: 27

DOI: https://doi.org/10.1103/physrevc.86.034334

Abstract

Starting from the adiabatic time-dependent Hartree-Fock approximation (ATDHF), we propose an efficient method to calculate the Thouless-Valatin moments of inertia for the nuclear system. The method is based on the rapid convergence of the expansion of the inertia matrix. The accuracy of the proposed method is verified in the rotational case by comparing the results with the exact Thouless-Valatin moments of inertia calculated using the self-consistent cranking model. The proposed method is computationally much more efficient than the full ATDHF calculation, yet it retains a high accuracy of the order of 1%.

Locations

  • Physical Review C - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat Iterative solutions of the ATDHFB equations to determine the nuclear collective inertia 2024 Xuwei Sun
J. Dobaczewski
M. Kortelainen
D. J. MUIR
Jhilam Sadhukhan
Adrián Sánchez-Fernández
Herlik Wibowo
+ The Nuclear Born Oppenheimer Method and Nuclear Rotations 2009 Nouredine Zettili
+ The Nuclear Born Oppenheimer Method and Nuclear Rotations 2009 Nouredine Zettili
+ PDF Chat Time-dependent Relativistic Hartree-Fock model with spherical symmetry 2024 Jing Geng
Zhi Heng Wang
Peng Wei Zhao
Yi Niu
Haozhao Liang
Wen Hui Long
+ PDF Chat Effective and efficient algorithm for the Wigner rotation matrix at high angular momenta 2022 Bin-Lei Wang
Fan Gao
Long-Jun Wang
Yang Sun
+ PDF Chat Microscopic collective inertial masses for nuclear reaction in the presence of nucleonic effective mass 2022 Kai Wen
Takashi Nakatsukasa
+ An effective and efficient algorithm for the Wigner rotation matrix at high angular momenta 2022 Bin-Lei Wang
Fan Gao
Long-Jun Wang
Yang Sun
+ Predication of novel effects in rotational nuclei at high speed 2023 Jian-You Guo
+ Orbital-free Density Functional Theory: differences and similarities between electronic and nuclear systems 2023 Gianluca Colo'
K. Hagino
+ PDF Chat Dissipation dynamics and spin-orbit force in time-dependent Hartree-Fock theory 2014 Gao-Feng Dai
Lu Guo
En-Guang Zhao
Shan-Gui Zhou
+ Density Functional Theory (DFT) for atomic nuclei: a simple introduction 2018 G. Colò
+ Multiconfigurational time-dependent density functional theory for atomic nuclei: technical and numerical aspects 2024 Petar Marević
David Regnier
Denis Lacroix
+ PDF Chat The Calculation of Single-Nucleon Energies of Nuclei by Considering Two-Body Effective Interaction, n(k,ρ), and a Hartree-Fock Inspired Scheme 2016 Hodjat Mariji
+ The TDHF code Sky3D version 1.2 2024 Abhishek Abhishek
P. D. Stevenson
Y. Shi
Esra Yüksel
A. S. Umar
+ The Toolkit for Nuclei library (TkN): a C++ interface to nuclear databases 2023 J. Dudouet
D. Gruyer
+ PDF Chat TDHF and a Macroscopic Aspect of Low-Energy Nuclear Reactions 2020 Kouhei Washiyama
Kazuyuki Sekizawa
+ The Hartree–Fock approximation 2005 Gabriele F. Giuliani
Giovanni Vignale
+ PDF Chat Finite-amplitude method for collective inertia in spontaneous fission 2021 Kouhei Washiyama
Nobuo Hinohara
Takashi Nakatsukasa
+ OMR-NPA: Optimized Matrix Representation of Nucleon Pair Approximation 2022 Y. Lei
Yi Lu
+ Non-perturbative collective inertias for fission: A comparative study 2018 Samuel A. Giuliani
L. M. Robledo

Works That Cite This (17)

Action Title Year Authors
+ PDF Chat Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory 2018 Zhi Shi
Z. P. Li
+ PDF Chat Effective field theory for triaxially deformed nuclei 2017 Q. B. Chen
Norbert Kaiser
Ulf-G. Meißner
J. Meng
+ Nuclear magnetism in the deformed halo nucleus 31Ne 2024 Cong Pan
Kaiyuan Zhang
Shuangquan Zhang
+ PDF Chat Microscopic derivation of the quadrupole collective Hamiltonian for shape coexistence/mixing dynamics 2016 Kenichi Matsuyanagi
Masayuki Matsuo
Takashi Nakatsukasa
Kenichi Yoshida
Nobuo Hinohara
Koichi Sato
+ PDF Chat Collective inertia of the Nambu-Goldstone mode from linear response theory 2015 Nobuo Hinohara
+ PDF Chat Effect of pairing correlations on nuclear low-energy structure: BCS and general Bogoliubov transformation 2013 J. Xiang
Z. P. Li
J. M. Yao
Wen Hui Long
P. Ring
J. Meng
+ PDF Chat Deformed relativistic Hartree-Bogoliubov theory in continuum with a point-coupling functional: Examples of even-even Nd isotopes 2020 Kaiyuan Zhang
Myung-Ki Cheoun
Yong-Beom Choi
P.S. Chong
Jianmin Dong
Li-Sheng Geng
Eunja Ha
Xiao-Tao He
Chan Heo
Meng Chit Ho
+ PDF Chat Collective Inertial Masses in Nuclear Reactions 2020 Kai Wen
Takashi Nakatsukasa
+ PDF Chat Microscopic theory of nuclear fission: a review 2016 N. Schunck
L. M. Robledo
+ PDF Chat Anharmonicity of multi–octupole-phonon excitations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Pb</mml:mi><mml:mprescripts /><mml:none /><mml:mn>208</mml:mn></mml:mmultiscripts></mml:math>: Analysis with multireference covariant density functional theory and subbarrier fusion of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">O</mml:mi><mml:mprescripts /><mml:none /><mml:mn>16</mml:mn></… 2016 J. M. Yao
K. Hagino