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2019 年度 実施状況報告書

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

研究課題

研究課題/領域番号 18K13549
研究機関国立研究開発法人理化学研究所

研究代表者

LIANG HAOZHAO  国立研究開発法人理化学研究所, 仁科加速器科学研究センター, 専任研究員 (50729225)

研究期間 (年度) 2018-04-01 – 2022-03-31
キーワード原子核密度汎関数理論 / 汎関数繰り込み群法 / 逆コーンシャム法 / 非相対論的極限
研究実績の概要

For the development of the functional renormalization group (FRG) method and the application to the (1+1)-dimensional nuclear systems, we derived the FRG formalism including the effect of the density flow. We further discussed the behavior of the two-point correlation functions and calculated the saturation energy and density with systematic truncations and approximations. The corresponding results were summarized in the master thesis “Development of functional renormalization group and its application in one-dimensional nucleon systems” by Hikaru Sakakibara (U. Tokyo).
For exploring the ab initio density functional theory (DFT), we proposed a novel way to improve energy density functionals in DFT based on the combination of the inverse Kohn-Sham method and the density functional perturbation theory. The results have been published in [J. Phys. B 52 (2019) 245003]. It is one of the first practical uses of the inverse Kohn-Sham method.
For revealing the connections between the relativistic and nonrelativistic nuclear DFTs, we proposed the novel reconstituted similarity-renormalization-group method and the novel reconstituted Foldy-Wouthuysen transformation. The results have been published in [Phys. Rev. C 99 (2019) 054324; 101 (2020) 024304; Chin. Phys. C 43 (2019) 114105].

現在までの達成度 (区分)
現在までの達成度 (区分)

2: おおむね順調に進展している

理由

The research is progressing rather smoothly with the supports of RIKEN and several international collaborations.

今後の研究の推進方策

The research will be carried out as plans. In particular, in FY2020, we will finalize the research of the functional renormalization group method to the (1+1)-dimensional nuclear systems, and we will focus on the development of this method to the (3+1)-dimensional nuclear systems and electron gas. Investigations and applications of the relevant studies will also be processed in parallel.

次年度使用額が生じた理由

In FY2019, we bought a new computer with a chapter price and we spent less on traveling.

  • 研究成果

    (19件)

すべて 2020 2019 その他

すべて 国際共同研究 (4件) 雑誌論文 (7件) (うち国際共著 5件、 査読あり 6件、 オープンアクセス 7件) 学会発表 (8件) (うち国際学会 6件、 招待講演 4件)

  • [国際共同研究] Universita degli Studi di Milano/INFN, Sezione di Milano(イタリア)

    • 国名
      イタリア
    • 外国機関名
      Universita degli Studi di Milano/INFN, Sezione di Milano
  • [国際共同研究] U. Science and Technology of China/Peking University/Anhui University(中国)

    • 国名
      中国
    • 外国機関名
      U. Science and Technology of China/Peking University/Anhui University
    • 他の機関数
      2
  • [国際共同研究] ELI-NP(ルーマニア)

    • 国名
      ルーマニア
    • 外国機関名
      ELI-NP
  • [国際共同研究] Technischen Universitat Munchen(ドイツ)

    • 国名
      ドイツ
    • 外国機関名
      Technischen Universitat Munchen
  • [雑誌論文] Nonrelativistic expansion of the Dirac equation with spherical scalar and vector potentials by a reconstituted Foldy-Wouthuysen transformation2020

    • 著者名/発表者名
      Guo Yixin、Liang Haozhao
    • 雑誌名

      Physical Review C

      巻: 101 ページ: 024304

    • DOI

      10.1103/PhysRevC.101.024304

    • 査読あり / オープンアクセス
  • [雑誌論文] Nonrelativistic expansion of Dirac equation with spherical scalar and vector potentials by similarity renormalization group2019

    • 著者名/発表者名
      Guo Yixin、Liang Haozhao
    • 雑誌名

      Physical Review C

      巻: 99 ページ: 054324

    • DOI

      10.1103/PhysRevC.99.054324

    • 査読あり / オープンアクセス / 国際共著
  • [雑誌論文] Predictions of nuclear β-decay half-lives with machine learning and their impact on r-process nucleosynthesis2019

    • 著者名/発表者名
      Niu Z. M.、Liang H. Z.、Sun B. H.、Long W. H.、Niu Y. F.
    • 雑誌名

      Physical Review C

      巻: 99 ページ: 064307

    • DOI

      10.1103/PhysRevC.99.064307

    • 査読あり / オープンアクセス / 国際共著
  • [雑誌論文] Towards an ab initio covariant density functional theory for nuclear structure2019

    • 著者名/発表者名
      Shen Shihang、Liang Haozhao、Long Wen Hui、Meng Jie、Ring Peter
    • 雑誌名

      Progress in Particle and Nuclear Physics

      巻: 109 ページ: 103713

    • DOI

      10.1016/j.ppnp.2019.103713

    • 査読あり / オープンアクセス / 国際共著
  • [雑誌論文] Non-relativistic expansion of single-nucleon Dirac equation: Comparison between Foldy-Wouthuysen transformation andsimilarity renormalization group2019

    • 著者名/発表者名
      Guo Yixin、Liang Haozhao
    • 雑誌名

      Chinese Physics C

      巻: 43 ページ: 114105

    • DOI

      10.1088/1674-1137/43/11/114105

    • 査読あり / オープンアクセス / 国際共著
  • [雑誌論文] Improvement of functionals in density functional theory by the inverse Kohn?Sham method and density functional perturbation theory2019

    • 著者名/発表者名
      Naito Tomoya、Ohashi Daisuke、Liang Haozhao
    • 雑誌名

      Journal of Physics B: Atomic, Molecular and Optical Physics

      巻: 52 ページ: 245003

    • DOI

      10.1088/1361-6455/ab4eef

    • 査読あり / オープンアクセス
  • [雑誌論文] Coulomb Energy Density Functionals for Nuclear Systems: Recent Studies of Coulomb Exchange and Correlation Functionals2019

    • 著者名/発表者名
      Naito Tomoya、Akashi Ryosuke、Colo Gianluca、Liang Haozhao、Roca-Maza Xavier
    • 雑誌名

      EPJ Web of Conferences

      巻: 223 ページ: 01044

    • DOI

      10.1051/epjconf/201922301044

    • オープンアクセス / 国際共著
  • [学会発表] Improvement of functionals in DFT by inverse Kohn-Sham method2020

    • 著者名/発表者名
      Liang Haozhao
    • 学会等名
      The 5th Topical Workshop on Modern Aspects in Nuclear Structure
    • 国際学会
  • [学会発表] Nuclear density functional theory: From fundamentals to frontiers2019

    • 著者名/発表者名
      Liang Haozhao
    • 学会等名
      原子核三者若手夏の学校
    • 招待講演
  • [学会発表] Attempts to derive DFT directly from Functional Renormalization Group approaches2019

    • 著者名/発表者名
      Liang Haozhao
    • 学会等名
      Gordon Research Conference: Nuclear Chemistry
    • 国際学会 / 招待講演
  • [学会発表] Nuclear inputs for r-process with Bayesian approaches2019

    • 著者名/発表者名
      Liang Haozhao
    • 学会等名
      YITP workshop on Nuclear physics of the r-process
    • 招待講演
  • [学会発表] DFT and Functional Renormalization Group2019

    • 著者名/発表者名
      Liang Haozhao
    • 学会等名
      Lectures on Covariant Density Functional Theory in Nuclear Physics
    • 国際学会 / 招待講演
  • [学会発表] Possible ways towards ab initio nuclear density functionals2019

    • 著者名/発表者名
      Liang Haozhao
    • 学会等名
      Workshop on new generation nuclear density functionals
    • 国際学会
  • [学会発表] Improvement of Functionals in DFT by IKS-DFPT2019

    • 著者名/発表者名
      Liang Haozhao
    • 学会等名
      China-Japan collaboration workshop on “Nuclear mass and life for unravelling mysteries of r-process”
    • 国際学会
  • [学会発表] Attempts to derive nuclear EDF directly from renormalization group approaches2019

    • 著者名/発表者名
      Liang Haozhao
    • 学会等名
      The 27th International Nuclear Physics Conference
    • 国際学会

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公開日: 2021-01-27  

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