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Relativistic coupled-cluster analysis of the second-order effects on the hyperfine structure in
Phys. Rev. A 107, 052807 – Published 18 May, 2023
DOI: https://doi.org/10.1103/PhysRevA.107.052807
Abstract
Using the single and double approximated relativistic coupled-cluster method, we calculate the first-order hyperfine structure constants for the , and states in , and also evaluate the second-order magnetic dipole–magnetic dipole, magnetic dipole–electric quadrupole effects caused by the off-diagonal hyperfine interaction. With these calculations, we reanalyze some recent high-precision experimental measurements of the hyperfine splitting intervals of . We find that the second-order magnetic dipole–magnetic dipole effects are especially sizable at the order of kHz in the constant for the states. Our calculations can provide a reference for future higher precision experimental measurements.
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References (55)
- C. Schwartz, Phys. Rev. 97, 380 (1955).
- J. Ginges and V. Flambaum, Phys. Rep. 397, 63 (2004).
- B. K. Sahoo, B. P. Das, and H. Spiesberger, Phys. Rev. D 103, L111303 (2021).
- C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Science 275, 1759 (1997).
- A. Kastberg, B. K. Sahoo, T. Aoki, Y. Sakemi, and B. P. Das, Symmetry 12, 974 (2020).
- Y.-B. Tang, B.-Q. Lou, and T.-Y. Shi, J. Phys. B: At. Mol. Opt. Phys. 52, 055002 (2019).
- J. S. M. Ginges and A. V. Volotka, Phys. Rev. A 98, 032504 (2018).
- M. Allegrini, E. Arimondo, and L. A. Orozco, J. Phys. Chem. Ref. Data 51, 043102 (2022).
- V. Gerginov, A. Derevianko, and C. E. Tanner, Phys. Rev. Lett. 91, 072501 (2003).
- W. R. Johnson, H. C. Ho, C. E. Tanner, and A. Derevianko, Phys. Rev. A 70, 014501 (2004).
- J. A. Quirk, L. Sherman, A. Damitz, C. E. Tanner, and D. S. Elliott, Phys. Rev. A 107, 012807 (2023).
- T.-J. Chen, J.-E. Chen, H.-H. Yu, T.-W. Liu, Y.-F. Hsiao, Y.-C. Chen, M.-S. Chang, and W.-Y. Cheng, Opt. Lett. 43, 1954 (2018).
- B. Rahaman and S. Dutta, Phys. Rev. A 106, 042811 (2022).
- B. Rahaman and S. Dutta, Opt. Lett. 47, 4612 (2022).
- W. R. Johnson, Atomic Structure Theory: Lectures on Atomic Physics (Springer, Berlin, 2007)
- K. Beloy, A. Derevianko, and W. R. Johnson, Phys. Rev. A 77, 012512 (2008).
- R. K. Chaudhuri, P. K. Panda, and B. P. Das, Phys. Rev. A 59, 1187 (1999).
- B.-Q. Lou, F. Li, P.-Y. Wang, L.-M. Wang, and Y.-B. Tang, Acta Phys. Sin. 68, 093101 (2019).
- F.-C. Li, Y.-B. Tang, H.-X. Qiao, and T.-Y. Shi, J. Phys. B: At. Mol. Opt. Phys. 54, 145004 (2021).
- F.-C. Li, H.-X. Qiao, Y.-B. Tang, and T.-Y. Shi, Phys. Rev. A 104, 062808 (2021).
- A. Kramida, Y. Ralchenko, J. Reader, and NIST ASD Team, NIST Atomic Spectra Database (ver. 5.8), https://physics.nist.gov/asd.
- P. Raghavan, At. Data Nucl. Data Tables 42, 189 (1989).
- S. G. Porsev, K. Beloy, and A. Derevianko, Phys. Rev. D 82, 036008 (2010).
- M. S. Safronova, W. R. Johnson, and A. Derevianko, Phys. Rev. A 60, 4476 (1999).
- V. Gerginov, K. Calkins, C. E. Tanner, J. J. McFerran, S. Diddams, A. Bartels, and L. Hollberg, Phys. Rev. A 73, 032504 (2006).
- D. Das and V. Natarajan, J. Phys. B: At. Mol. Opt. Phys. 39, 2013 (2006).
- G. W. Truong, J. D. Anstie, E. F. May, T. M. Stace, and A. N. Luiten, Nat. Commun. 6, 8345 (2015).
- R. Pal, M. S. Safronova, W. R. Johnson, A. Derevianko, and S. G. Porsev, Phys. Rev. A 75, 042515 (2007).
- D. Das, A. Banerjee, S. Barthwal, and V. Natarajan, Eur. Phys. J. D 38, 545 (2006).
- T. Udem, J. Reichert, R. Holzwarth, and T. W. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
- R. J. Rafac and C. E. Tanner, Phys. Rev. A 56, 1027 (1997).
- D. Das and V. Natarajan, EPL 72, 740 (2005).
- C. E. Tanner and C. Wieman, Phys. Rev. A 38, 1616 (1988).
- Y.-W. Liu and P. E. G. Baird, Appl. Phys. B: Lasers Opt. 71, 567 (2000).
- F. S. Cataliotti, C. Fort, F. S. Pavone, and M. Inguscio, Z. Phys. D: At., Mol. Clusters 38, 31 (1996).
- C. Tai, R. Gupta, and W. Happer, Phys. Rev. A 8, 1661 (1973).
- S. B. Bayram, P. Arndt, O. I. Popov, C. Güney, W. P. Boyle, M. D. Havey, and J. McFarland, Phys. Rev. A 90, 062510 (2014).
- J. Abele, Z. Phys. A 274, 185 (1975).
- S. Rydberg and S. Svanberg, Phys. Scr. 5, 209 (1972).
- A. Faist, E. Geneux, and S. Koide, J. Phys. Soc. Jpn. 19, 2299 (1964).
- M. Auzinsh, K. Bluss, R. Ferber, F. Gahbauer, A. Jarmola, M. S. Safronova, U. I. Safronova, and M. Tamanis, Phys. Rev. A 75, 022502 (2007).
- A. Kortyna, N. A. Masluk, and T. Bragdon, Phys. Rev. A 74, 022503 (2006).
- T. Ohtsuka, N. Nishimiya, T. Fukuda, and M. Suzuki, J. Phys. Soc. Jpn. 74, 2487 (2005).
- M. T. Herd, E. C. Cook, and W. D. Williams, Phys. Rev. A 104, 042812 (2021).
- Z. Wang, J. Zhang, Z. Zeng, K. Yan, H. Zhou, and B. Yang, Laser Optoelectron. Prog. 57, 030202 (2020).
- N. P. Georgiades, E. S. Polzik, and H. J. Kimble, Opt. Lett. 19, 1474 (1994).
- J. E. Stalnaker, V. Mbele, V. Gerginov, T. M. Fortier, S. A. Diddams, L. Hollberg, and C. E. Tanner, Phys. Rev. A 81, 043840 (2010).
- P. V. Kiran Kumar, M. Sankari, and M. V. Suryanarayana, Phys. Rev. A 87, 012503 (2013).
- A. Kortyna, V. Fiore, and J. Farrar, Phys. Rev. A 77, 062505 (2008).
- Y.-C. Lee, Y.-H. Chang, Y.-Y. Chang, Y.-Y. Chen, C.-C. Tsai, and H.-C. Chui, Appl. Phys. B 105, 391 (2011).
- S.-D. Wang, J.-P. Yuan, L.-R. Wang, L.-T. Xiao, and S.-T. Jia, Front. Phys. 16, 12502 (2021).
- S. J. Grunefeld, B. M. Roberts, and J. S. M. Ginges, Phys. Rev. A 100, 042506 (2019).
- H. Bucka and G. von Oppen, Ann. Phys. 465, 119 (1962).
- W.-Y. Cheng, T.-J. Chen, C.-W. Lin, B.-W. Chen, Y.-P. Yang, and H. Y. Hsu, Opt. Express 25, 2752 (2017).
- K. Beloy and A. Derevianko, Phys. Rev. A 78, 032519 (2008).