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Ab initio nuclear Density Functional Theory with uncertainty quantification from Functional Renormalization Group in Kohn-Sham scheme

Research Project

Project/Area Number 18K13549
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
Research InstitutionThe University of Tokyo (2020-2022)
Institute of Physical and Chemical Research (2018-2019)

Principal Investigator

LIANG Haozhao  東京大学, 大学院理学系研究科(理学部), 准教授 (50729225)

Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords原子核構造 / 原子核密度汎関数理論 / 汎関数繰り込み群法 / 第一原理計算 / 機械学習アプローチ / 逆コーンシャム法 / 非相対論的極限 / 原子核密度汎関数法 / 密度汎関数理論 / 汎関数繰込群
Outline of Final Research Achievements

Density Functional Theory (DFT) has achieved great success in quantum many-body problems in various fields. Its foundation Hohenberg-Kohn theorem guarantees the existence of a universal energy density functional for given inter-particle interactions but tells us no clue for getting such a functional. The goal of this project is to develop ab initio nuclear DFT by taking protons and neutrons as the basic degrees of freedom and starting from the nucleon-nucleon forces among them. Exploring the following strategies: to develop ab initio DFT (1) from experimental data, (2) from other ab initio methods, (3) from fundamental interactions, and (4) with machine learning approaches, we proposed several novel theoretical frameworks and computational setups. These new developments also achieved accurate descriptions of nuclear properties, including mass, beta-decay half-lives, shell evolution and its tensor-force effects, and so on.

Academic Significance and Societal Importance of the Research Achievements

宇宙における重元素の起源は、近代科学において重要でありながら未解決の基本的な問いの一つである。この問いに対する定量的な答えを得るためには、数千もの中性子過剰核の核物性に関する正確な知識が必要となる。密度汎関数法(DFT)は、現在及び将来の中性子過剰核に対し適用可能な唯一の最先端多体手法であり、本研究における原子核DFTは重元素の起源の理解に向けて重要な役割を果たし、さらに多くの進展を遂げている。異分野横断の観点においては、本研究は凝縮物理学や量子化学におけるDFT研究にも応用することが可能である。化学の研究分野へ応用した暁には、我々の日常生活に関わる新材料の開発にも貢献することが期待される。

Report

(6 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (66 results)

All 2023 2022 2021 2020 2019 2018 Other

All Int'l Joint Research (15 results) Journal Article (28 results) (of which Int'l Joint Research: 20 results,  Peer Reviewed: 28 results,  Open Access: 28 results) Presentation (23 results) (of which Int'l Joint Research: 12 results,  Invited: 14 results)

  • [Int'l Joint Research] Anhui University/Southwest University/Institute of Modern Physics, CAS(中国)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] Iowa State University(米国)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] Universita degli Studi di Milano/INFN, Sezione di Milano(イタリア)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Lanzhou University/Peking University(中国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] University of Zagreb(クロアチア)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Universita degli Studi di Milano/INFN, Sezione di Milano(イタリア)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] Lanzhou University(中国)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] Universita degli Studi di Milano/INFN, Sezione di Milano(イタリア)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] U. Science and Technology of China/Peking University/Anhui University(中国)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] ELI-NP(ルーマニア)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] Technischen Universitat Munchen(ドイツ)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] Universita degli Studi di Milano/INFN, Sezione di Milano(イタリア)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Peking University/Lanzhou University(中国)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] ELI-NP(ルーマニア)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Technischen Universitat Munchen(ドイツ)

    • Related Report
      2018 Research-status Report
  • [Journal Article] A Kohn-Sham scheme based neural network for nuclear systems2023

    • Author(s)
      Yang Zu-Xing、Fan Xiao-Hua、Li Zhi-Pan、Liang Haozhao
    • Journal Title

      Physics Letters B

      Volume: 840 Pages: 137870-137870

    • DOI

      10.1016/j.physletb.2023.137870

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A local-density-approximation description of high-momentum tails in isospin asymmetric nuclei2022

    • Author(s)
      Fan Xiao-Hua、Yang Zu-Xing、Yin Peng、Chen Peng-Hui、Dong Jian-Min、Li Zhi-Pan、Liang Haozhao
    • Journal Title

      Physics Letters B

      Volume: 834 Pages: 137482-137482

    • DOI

      10.1016/j.physletb.2022.137482

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Role of the effective range in the density-induced BEC-BCS crossover2022

    • Author(s)
      Hiroyuki Tajima and Haozhao Liang
    • Journal Title

      Physical Review A

      Volume: 106 Issue: 4 Pages: 043308-043308

    • DOI

      10.1103/physreva.106.043308

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Calculation of beta-decay half-lives within a Skyrme-Hartree-Fock-Bogoliubov energy density functional with the proton-neutron quasiparticle random-phase approximation and isoscalar pairing strengths optimized by a Bayesian method2022

    • Author(s)
      Minato Futoshi、Niu Zhongming、Liang Haozhao
    • Journal Title

      Physical Review C

      Volume: 106 Issue: 2 Pages: 024306-024306

    • DOI

      10.1103/physrevc.106.024306

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Nuclear mass predictions with machine learning reaching the accuracy required by r-process studies2022

    • Author(s)
      Niu Z. M.、Liang H. Z.
    • Journal Title

      Physical Review C

      Volume: 106 Issue: 2 Pages: 1-6

    • DOI

      10.1103/physrevc.106.l021303

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Biexciton-like quartet condensates in an electron-hole liquid2022

    • Author(s)
      Yixin Guo, Hiroyuki Tajima, and Haozhao Liang
    • Journal Title

      Physical Review Research

      Volume: 4 Issue: 2 Pages: 023152-023152

    • DOI

      10.1103/physrevresearch.4.023152

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Cooper quartet correlations in infinite symmetric nuclear matter2022

    • Author(s)
      Y. Guo, H. Tajima, and H. Liang
    • Journal Title

      Physical Review C

      Volume: 105 Issue: 2 Pages: 24317-24317

    • DOI

      10.1103/physrevc.105.024317

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Toward ab initio charge symmetry breaking in nuclear energy density functionals2022

    • Author(s)
      Tomoya Naito, Gianluca Colo, Haozhao Liang, Xavier Roca-Mza, and Hiroyuki Sagawa
    • Journal Title

      Physical Review C

      Volume: 105 Issue: 2

    • DOI

      10.1103/physrevc.105.l021304

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Second and fourth moments of the charge density and neutron-skin thickness of atomic nuclei2021

    • Author(s)
      Tomoya Naito, Gianluca Colo, Haozhao Liang, and Xavier Roca-Maza.
    • Journal Title

      Physical Review C

      Volume: 104 Issue: 2 Pages: 024316-024316

    • DOI

      10.1103/physrevc.104.024316

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Tensor-force effects on shell-structure evolution in N = 82 isotones and Z = 50 isotopes in the relativistic Hartree-Fock theory2021

    • Author(s)
      Zhiheng Wang, Tomoya Naito, and Haozhao Liang
    • Journal Title

      Physical Review C

      Volume: 103 Issue: 6 Pages: 064326-064326

    • DOI

      10.1103/physrevc.103.064326

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Exploring effects of tensor force and its strength via neutron drops *2021

    • Author(s)
      Zhiheng Wang, Tomoya Naito, Haozhao Liang, and Wen Hui Long.
    • Journal Title

      Chinese Physics C

      Volume: 45 Issue: 6 Pages: 064103-064103

    • DOI

      10.1088/1674-1137/abf036

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Nuclear energy density functionals from empirical ground-state densities2021

    • Author(s)
      Giacomo Accorto, Tomoya Naito, Haozhao Liang, Tamara Niksic, and Dario Vretenar.
    • Journal Title

      Physical Review C

      Volume: 103 Issue: 4 Pages: 044304-044304

    • DOI

      10.1103/physrevc.103.044304

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Self-consistent random-phase approximation based on the relativistic Hartree-Fock theory: Role of ρ-tensor coupling2020

    • Author(s)
      Wang Zhiheng、Naito Tomoya、Liang Haozhao、Long Wen Hui
    • Journal Title

      Physical Review C

      Volume: 101 Issue: 6 Pages: 064306-064306

    • DOI

      10.1103/physrevc.101.064306

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Effects of finite nucleon size, vacuum polarization, and electromagnetic spin-orbit interaction on nuclear binding energies and radii in spherical nuclei2020

    • Author(s)
      Naito Tomoya、Roca-Maza Xavier、Colo Gianluca、Liang Haozhao
    • Journal Title

      Physical Review C

      Volume: 101 Issue: 6 Pages: 064311-064311

    • DOI

      10.1103/physrevc.101.064311

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Relativistic density functional theory with finite-light-speed correction for the Coulomb interaction: a non-relativistic-reduction-based approach2020

    • Author(s)
      Naito Tomoya、Akashi Ryosuke、Liang Haozhao、Tsuneyuki Shinji
    • Journal Title

      Journal of Physics B: Atomic, Molecular and Optical Physics

      Volume: 53 Issue: 21 Pages: 215002-215002

    • DOI

      10.1088/1361-6455/abaca6

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Nonrelativistic expansion of the Dirac equation with spherical scalar and vector potentials by a reconstituted Foldy-Wouthuysen transformation2020

    • Author(s)
      Guo Yixin、Liang Haozhao
    • Journal Title

      Physical Review C

      Volume: 101 Issue: 2 Pages: 024304-024304

    • DOI

      10.1103/physrevc.101.024304

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Nonrelativistic expansion of Dirac equation with spherical scalar and vector potentials by similarity renormalization group2019

    • Author(s)
      Guo Yixin、Liang Haozhao
    • Journal Title

      Physical Review C

      Volume: 99 Issue: 5 Pages: 054324-054324

    • DOI

      10.1103/physrevc.99.054324

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Predictions of nuclear β-decay half-lives with machine learning and their impact on r-process nucleosynthesis2019

    • Author(s)
      Niu Z. M.、Liang H. Z.、Sun B. H.、Long W. H.、Niu Y. F.
    • Journal Title

      Physical Review C

      Volume: 99 Issue: 6 Pages: 064307-064307

    • DOI

      10.1103/physrevc.99.064307

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Towards an ab initio covariant density functional theory for nuclear structure2019

    • Author(s)
      Shen Shihang、Liang Haozhao、Long Wen Hui、Meng Jie、Ring Peter
    • Journal Title

      Progress in Particle and Nuclear Physics

      Volume: 109 Pages: 103713-103713

    • DOI

      10.1016/j.ppnp.2019.103713

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Non-relativistic expansion of single-nucleon Dirac equation: Comparison between Foldy-Wouthuysen transformation andsimilarity renormalization group2019

    • Author(s)
      Guo Yixin、Liang Haozhao
    • Journal Title

      Chinese Physics C

      Volume: 43 Issue: 11 Pages: 114105-114105

    • DOI

      10.1088/1674-1137/43/11/114105

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Improvement of functionals in density functional theory by the inverse Kohn?Sham method and density functional perturbation theory2019

    • Author(s)
      Naito Tomoya、Ohashi Daisuke、Liang Haozhao
    • Journal Title

      Journal of Physics B: Atomic, Molecular and Optical Physics

      Volume: 52 Issue: 24 Pages: 245003-245003

    • DOI

      10.1088/1361-6455/ab4eef

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Coulomb Energy Density Functionals for Nuclear Systems: Recent Studies of Coulomb Exchange and Correlation Functionals2019

    • Author(s)
      Naito Tomoya、Akashi Ryosuke、Colo Gianluca、Liang Haozhao、Roca-Maza Xavier
    • Journal Title

      EPJ Web of Conferences

      Volume: 223 Pages: 01044-01044

    • DOI

      10.1051/epjconf/201922301044

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Coulomb exchange functional with generalized gradient approximation for self-consistent Skyrme Hartree-Fock calculations2019

    • Author(s)
      Naito Tomoya、Roca-Maza Xavier、Colo Gianluca、Liang Haozhao
    • Journal Title

      Physical Review C

      Volume: 99 Issue: 2 Pages: 024309-024309

    • DOI

      10.1103/physrevc.99.024309

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Functional renormalization group and Kohn-Sham scheme in density functional theory2018

    • Author(s)
      Liang Haozhao、Niu Yifei、Hatsuda Tetsuo
    • Journal Title

      Physics Letters B

      Volume: 779 Pages: 436-440

    • DOI

      10.1016/j.physletb.2018.02.034

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Gamow-Teller transitions from high-spin isomers in N=Z nuclei2018

    • Author(s)
      Liang H. Z.、Sagawa H.、Sasano M.、Suzuki T.、Honma M.
    • Journal Title

      Physical Review C

      Volume: 98 Issue: 1 Pages: 014311-014311

    • DOI

      10.1103/physrevc.98.014311

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Application of a Coulomb energy density functional for atomic nuclei: Case studies of local density approximation and generalized gradient approximation2018

    • Author(s)
      Naito Tomoya、Akashi Ryosuke、Liang Haozhao
    • Journal Title

      Physical Review C

      Volume: 97 Issue: 4 Pages: 044319-044319

    • DOI

      10.1103/physrevc.97.044319

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Relativistic Brueckner-Hartree-Fock theory for neutron drops2018

    • Author(s)
      Shen Shihang、Liang Haozhao、Meng Jie、Ring Peter、Zhang Shuangquan
    • Journal Title

      Physical Review C

      Volume: 97 Issue: 5 Pages: 054312-054312

    • DOI

      10.1103/physrevc.97.054312

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory2018

    • Author(s)
      Wang Zhiheng、Zhao Qiang、Liang Haozhao、Long Wen Hui
    • Journal Title

      Physical Review C

      Volume: 98 Issue: 3 Pages: 034313-034313

    • DOI

      10.1103/physrevc.98.034313

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Exotic nuclear physics for astrophysics2022

    • Author(s)
      Liang Haozhao
    • Organizer
      International Workshop on Origin of Elements and Cosmic Evolution: From Big-Bang to Supernovae and Mergers
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Towards ab initio Nuclear Density functional Theory2022

    • Author(s)
      Liang Haozhao
    • Organizer
      Summer School on Exotic Nuclei
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nuclear mass predictions with machine learning reaching the accuracy required by r-process studies2022

    • Author(s)
      Liang Haozhao
    • Organizer
      Workshop on combining nuclear theory and machine learning for fundamental studies and applications
    • Related Report
      2022 Annual Research Report
  • [Presentation] Quantum computing for nuclear structure properties?2022

    • Author(s)
      Liang Haozhao
    • Organizer
      Workshop “Fundamentals in density functional theory”
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Density functional theory and inverse Kohn-Sham method2021

    • Author(s)
      Liang Haozhao
    • Organizer
      Lectures on Covariant Density Functional Theory in Nuclear Physics
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Nuclear mass predictions with machine learning towards the accuracy required by r-process studies2021

    • Author(s)
      Liang Haozhao
    • Organizer
      Workshop of RIKEN Pioneering Project: Evolution of Matter in the Universe
    • Related Report
      2021 Research-status Report
  • [Presentation] Towards systematic and consistent nuclear data inputs for astrophysical r-process with Bayesian approaches2020

    • Author(s)
      Liang Haozhao
    • Organizer
      Workshop on r-process 2020: from Stellar Alchemy to Galactic Archeology
    • Related Report
      2020 Research-status Report
    • Invited
  • [Presentation] DFT and Functional Renormalization Group2020

    • Author(s)
      Liang Haozhao
    • Organizer
      Lectures on Covariant Density Functional Theory in Nuclear Physics
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] The colorful world of atomic nuclei---physics frontiers and large-scale scientific facilities2020

    • Author(s)
      Liang Haozhao
    • Organizer
      2020 International School Program of Zhengzhou University
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Towards systematic and consistent nuclear data inputs for astrophysical r-process with Bayesian approaches2020

    • Author(s)
      Liang Haozhao
    • Organizer
      Workshop on Frontiers of Nuclear Structure and Nuclear Astrophysics
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Improvement of functionals in DFT by inverse Kohn-Sham method2020

    • Author(s)
      Liang Haozhao
    • Organizer
      The 5th Topical Workshop on Modern Aspects in Nuclear Structure
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Nuclear density functional theory: From fundamentals to frontiers2019

    • Author(s)
      Liang Haozhao
    • Organizer
      原子核三者若手夏の学校
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] Attempts to derive DFT directly from Functional Renormalization Group approaches2019

    • Author(s)
      Liang Haozhao
    • Organizer
      Gordon Research Conference: Nuclear Chemistry
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Nuclear inputs for r-process with Bayesian approaches2019

    • Author(s)
      Liang Haozhao
    • Organizer
      YITP workshop on Nuclear physics of the r-process
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] DFT and Functional Renormalization Group2019

    • Author(s)
      Liang Haozhao
    • Organizer
      Lectures on Covariant Density Functional Theory in Nuclear Physics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Possible ways towards ab initio nuclear density functionals2019

    • Author(s)
      Liang Haozhao
    • Organizer
      Workshop on new generation nuclear density functionals
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Improvement of Functionals in DFT by IKS-DFPT2019

    • Author(s)
      Liang Haozhao
    • Organizer
      China-Japan collaboration workshop on “Nuclear mass and life for unravelling mysteries of r-process”
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Attempts to derive nuclear EDF directly from renormalization group approaches2019

    • Author(s)
      Liang Haozhao
    • Organizer
      The 27th International Nuclear Physics Conference
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory2019

    • Author(s)
      Liang Haozhao
    • Organizer
      The 2nd International Workshop on Quantum Many-Body Problems in Particle, Nuclear, and Atomic Physics
    • Related Report
      2018 Research-status Report
  • [Presentation] Effects of tensor force in the relativistic scheme2018

    • Author(s)
      Liang Haozhao
    • Organizer
      Tsukuba-CCS workshop on "microscopic theories of nuclear structure and dynamics"
    • Related Report
      2018 Research-status Report
  • [Presentation] Effects of tensor force in covariant density functional theory2018

    • Author(s)
      Liang Haozhao
    • Organizer
      The 17th Chinese National Conference on Nuclear Structure
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Effects of tensor force in relativistic Hartree-Fock theory2018

    • Author(s)
      Liang Haozhao
    • Organizer
      Workshop on Recent Developments in Nuclear and Hadron Physics
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Effects of tensor force in the relativistic scheme2018

    • Author(s)
      Liang Haozhao
    • Organizer
      CUSTIPEN workshop on theory of rare nuclear decays
    • Related Report
      2018 Research-status Report
    • Invited

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Published: 2018-04-23   Modified: 2024-01-30  

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