2019 Fiscal Year Research-status Report
Ab initio nuclear Density Functional Theory with uncertainty quantification from Functional Renormalization Group in Kohn-Sham scheme
| Project/Area Number |
18K13549
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| Research Institution | Institute of Physical and Chemical Research |
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Principal Investigator |
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)
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| Project Period (FY) |
2018-04-01 – 2022-03-31
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| Keywords | 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 |
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| Outline of Annual Research Achievements |
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].
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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
The research is progressing rather smoothly with the supports of RIKEN and several international collaborations.
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| Strategy for Future Research Activity |
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.
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| Causes of Carryover |
In FY2019, we bought a new computer with a chapter price and we spent less on traveling.
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