Theoretical study of transition matrix elements in cadmium for vacuum-ultraviolet generation in $^{229}$Th nuclear clock applications
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916886185246720 |
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| author | Penyazkov, Gleb Yu, Yanmei Skripnikov, Leonid V. Ding, Shiqian |
| author_facet | Penyazkov, Gleb Yu, Yanmei Skripnikov, Leonid V. Ding, Shiqian |
| contents | The relativistic Fock-space coupled-cluster methods are applied to the cadmium atom. A large number of transition energies and matrix elements are calculated for the $5s^{2}\:$$ ^{1}S \to 5snp\: ^{1,3} P^{o}$, $5s6s\: ^{1}S \to 5snp\: ^{1,3} P^{o}$ and $5s5d\: ^{1}D \to 5snp\: ^{1,3} P^{o}$ transitions for a wide range of $p$ states accounting for relativistic and electron-correlation effects. The results obtained within two different approaches (Fock-space coupled cluster and configuration interaction) are compared with available experimental and theoretical data. Good agreement is found between the two methods for transitions involving low-lying excited $p$-states, whereas for high-lying states, the discrepancy becomes large. The calculated values are used to determine the third-order nonlinear susceptibility of cadmium vapor, with an agreement within 5\% between the different methods. The results of the present computations support the feasibility of generating vacuum ultraviolet light in Cd vapor via a four-wave mixing process for the spectroscopy of $^{229}$Th isomer transition. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_19963 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Theoretical study of transition matrix elements in cadmium for vacuum-ultraviolet generation in $^{229}$Th nuclear clock applications Penyazkov, Gleb Yu, Yanmei Skripnikov, Leonid V. Ding, Shiqian Atomic Physics The relativistic Fock-space coupled-cluster methods are applied to the cadmium atom. A large number of transition energies and matrix elements are calculated for the $5s^{2}\:$$ ^{1}S \to 5snp\: ^{1,3} P^{o}$, $5s6s\: ^{1}S \to 5snp\: ^{1,3} P^{o}$ and $5s5d\: ^{1}D \to 5snp\: ^{1,3} P^{o}$ transitions for a wide range of $p$ states accounting for relativistic and electron-correlation effects. The results obtained within two different approaches (Fock-space coupled cluster and configuration interaction) are compared with available experimental and theoretical data. Good agreement is found between the two methods for transitions involving low-lying excited $p$-states, whereas for high-lying states, the discrepancy becomes large. The calculated values are used to determine the third-order nonlinear susceptibility of cadmium vapor, with an agreement within 5\% between the different methods. The results of the present computations support the feasibility of generating vacuum ultraviolet light in Cd vapor via a four-wave mixing process for the spectroscopy of $^{229}$Th isomer transition. |
| title | Theoretical study of transition matrix elements in cadmium for vacuum-ultraviolet generation in $^{229}$Th nuclear clock applications |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2506.19963 |