2020 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 | The University of Tokyo |
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Principal Investigator |
LIANG HAOZHAO 東京大学, 大学院理学系研究科(理学部), 准教授 (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 |
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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 are extending this method to the (3+1)-dimensional nuclear systems and electron gas.
For the study of nuclear spin-isospin resonances and the corresponding tensor effects, we extended the framework of the random-phase approximation (RPA) based on the relativistic Hartree-Fock (RHF) theory to achieve a self-consistent calculation with the rho-meson tensor coupling [Phys. Rev. C 101, 064306 (2020)]. The properties of the Gamow-Teller resonances are investigated. It is found that the tensor forces play the role mainly via the RHF mean field rather than via the RPA residual interaction.
To achieve more accurate treatment of the Coulomb interaction, we considered the finite-size effects of the nucleons, vacuum polarization, and the electromagnetic spin-orbit interaction in the nuclear density functional theory [Phys. Rev. C 101, 064311 (2020)]. It is found that the neutron charge density distribution contributes nuclear binding energy non-negligibly, as well as the proton charge density distribution. The vacuum polarization is also non-negligible.
For the study of superheavy elements, we developed the new relativistic density functional theory [J. Phys. B 53, 215002 (2020)]. In this scheme, the finite-light-speed correction for the Coulomb interaction is considered. It is found that the possible outer-most electron of lawrencium atom is the p orbital instead of the d orbital.
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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 The University of Tokyo and RIKEN as well as several international collaborations.
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| Strategy for Future Research Activity |
The research will be carried out as plans. In particular, in FY2021, we will focus on the development of this method to the (3+1)-dimensional electron gas, in particular, the energy density functional with the generalized gradient approximation. Investigations and applications of the relevant studies will also be processed in parallel.
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| Causes of Carryover |
In FY2020, there was no expanses on traveling due to the COVID-19.
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