2022 Fiscal Year Annual Research 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 ab initio nuclear Density Functional Theory (DFT) from the Functional Renormalization Group (FRG) method, we started from the key strategies demonstrated by using the zero-dimensional phi^4 theory [Phys. Lett. B 779, 436 (2018)], to the application to the (1+1)-dimensional nuclear systems [master thesis by Hikaru Sakakibara (U. Tokyo)], to the application to the (3+1)-dimensional electron gas. At this stage, we are finalizing the formalism and numerical codes of the energy density functional (EDF) with the generalized gradient approximation.
In parallel, we have been investigating several other possible strategies for developing the ab initio nuclear DFT. This includes (i) the combination of the inverse Kohn-Sham method and the density functional perturbation theory [J. Phys. B 52, 245003 (2019)], (ii) the covariant ab initio calculations and the constraints on tensor force [Phys. Rev. C 97, 054312 (2018)], (iii) a series of studies on the ab initio charge symmetry breaking in nuclear EDF [Phys. Rev. C 105, L021304 (2022)], and (iv) the latest studies with the combinations of nuclear DFT, the Kohn-Sham scheme, and machine learning approaches [Phys. Lett. B 840, 137870 (2023); Phys. Rev. C 106, 024306 (2022); Phys. Rev. C 106, L021303 (2022)].
During the whole research period, we have published 28 peer-refereed papers, including 1 invited review in Progress in Particle and Nuclear Physics entitled “Towards an ab initio covariant density functional theory for nuclear structure”, presenting our ideas on ab initio nuclear DFT for the coming decade.
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