2021 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 – 2023-03-31
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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 (3+1)-dimensional electron gas, we derived the formalism of the energy density functional with the generalized gradient approximation.
For the study of charge symmetry breaking (CSB) in nuclear systems, we proposed a new approach to determine the strength of the CSB term in the framework of nuclear density functional theory (DFT) [Phys. Rev. C 105, L021304 (2022)]. It is shown that the mass difference of mirror nuclei and the neutron-skin thickness of doubly-closed-shell nuclei can be used to constrain the strength of the CSB interaction with an uncertainty of less than 6%. In addition, we investigated the feasibility of determining the neutron-skin thickness of atomic nuclei with the second and fourth moments of the charge density [Phys. Rev. C 104, 024316 (2021)].
For the study of the efforts of nuclear tensor force, we investigated the shell-structure evolutions in N=82 isotones and Z=50 isotopes in the relativistic Hartree-Fock theory [Phys. Rev. C 103, 064326 (2021)]. By identifying the contributions of tensor force, we found that the tensor force plays a crucial role in shell-structure evolutions. In addition, we investigated the evolution of spin-orbit splittings in neutron drops [Chin. Phys. C 45, 064103 (2021)]. We provided semiquantitative support for the renormalization persistency of the tensor force in the framework of DFT. This will serve as important guides for further development of relativistic effective interactions with a particular focus on the tensor force.
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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 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 |
In FY2022, we will focus on the development of this method to the (3+1)-dimensional electron gas. In particular, we aim at finishing 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 FY2021, we spent less on traveling due to the COVID-19.
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