Subspace-projected multireference covariant density functional theory
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866908501194833920 |
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| author | Zhang, X. Wang, C. C. Ding, C. R. Yao, J. M. |
| author_facet | Zhang, X. Wang, C. C. Ding, C. R. Yao, J. M. |
| contents | Multireference density functional theory (MR-DFT) has been a pivotal method for studying nuclear low-lying states and neutrinoless double-beta ($0νββ$) decay. However, quantifying their theoretical uncertainties has been a significant challenge due to the computational demands. This study introduces a subspace-projected covariant density functional theory (SP-CDFT), which efficiently emulates MR-CDFT calculations for nuclear low-lying states. This approach leverages the eigenvector continuation method combined with the quantum-number projected generator coordinate method, based on a relativistic energy density functional (EDF). We apply SP-CDFT to investigate the correlations among the physical quantities of nuclear matter, nuclear low-lying spectroscopy, and the nuclear matrix elements (NMEs) of $0νββ$ decay in the two heaviest candidate nuclei. Our findings reveal generally strong correlations between the NMEs of $0νββ$ decay and the excitation energy of the $2_1^+$ state, as well as the $E2$ transition strength, although these correlations vary significantly among nuclei. This work also paves the way for refining nuclear EDF parameters using spectroscopic data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00691 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Subspace-projected multireference covariant density functional theory Zhang, X. Wang, C. C. Ding, C. R. Yao, J. M. Nuclear Theory Strongly Correlated Electrons High Energy Physics - Phenomenology Nuclear Experiment Multireference density functional theory (MR-DFT) has been a pivotal method for studying nuclear low-lying states and neutrinoless double-beta ($0νββ$) decay. However, quantifying their theoretical uncertainties has been a significant challenge due to the computational demands. This study introduces a subspace-projected covariant density functional theory (SP-CDFT), which efficiently emulates MR-CDFT calculations for nuclear low-lying states. This approach leverages the eigenvector continuation method combined with the quantum-number projected generator coordinate method, based on a relativistic energy density functional (EDF). We apply SP-CDFT to investigate the correlations among the physical quantities of nuclear matter, nuclear low-lying spectroscopy, and the nuclear matrix elements (NMEs) of $0νββ$ decay in the two heaviest candidate nuclei. Our findings reveal generally strong correlations between the NMEs of $0νββ$ decay and the excitation energy of the $2_1^+$ state, as well as the $E2$ transition strength, although these correlations vary significantly among nuclei. This work also paves the way for refining nuclear EDF parameters using spectroscopic data. |
| title | Subspace-projected multireference covariant density functional theory |
| topic | Nuclear Theory Strongly Correlated Electrons High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2408.00691 |