Renewed analysis of the hyperfine structure of the Na2 13Δg state
The hyperfine structure on the levels of the Na2 13Δg state reported in Liu et al. [J. Chem. Phys. 115, 3647 (2001)] is analyzed using a new approach that overcomes most of the approximations adopted in the cited article. We exclude an approximation of the united atom, implying that the electron clo...
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doaj-9c38b86aff6d41f980dc9b53b5d186c32020-11-25T02:18:36ZengAIP Publishing LLCAIP Advances2158-32262018-12-01812125322125322-1010.1063/1.5055675040812ADVRenewed analysis of the hyperfine structure of the Na2 13Δg stateVladimir B. Sovkov0Feng Xie1Dan Li2Sergey S. Lukashov3Vera V. Baturo4Jie Ma5Li Li6State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, College of Physics and Electronics, Shanxi University, Taiyuan 030006, ChinaInstitute of Nuclear and New Energy Technology, Collaborative Innovation Center of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Tsinghua University, Beijing 100084, ChinaCenter for Photonics and Electronics, Department of Precision Instruments, Tsinghua University, Beijing 100084, ChinaSt. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, RussiaSt. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, RussiaState Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, College of Physics and Electronics, Shanxi University, Taiyuan 030006, ChinaDepartment of Physics, Tsinghua University, Beijing 100084, ChinaThe hyperfine structure on the levels of the Na2 13Δg state reported in Liu et al. [J. Chem. Phys. 115, 3647 (2001)] is analyzed using a new approach that overcomes most of the approximations adopted in the cited article. We exclude an approximation of the united atom, implying that the electron cloud only interacts with the total nuclear spin, and replace it with the interactions between individual nuclei and electrons. Rather than equating the observed intensities in the spectra with the populations of the hyperfine (HF) components of a 13Δg state level excited from a hypothetical equilibrium HF ensemble in a state b3Π1u, we consider the more realistic excitation–de-excitation schemes in their entirety, and take into account the mixed character of the window levels of the A1Σu+∼b3ΠΩu system, which generally contains fractions of all Ω = 0, 1, 2. We also avoid an approximation of the major component, in which the probabilities of the optical dipole transitions are computed from the 0-th order state vector alone, and compute the contributions from all components of the blended states. The underlying theory and algorithms are described, and the parameters of the new model are fitted and reported.http://dx.doi.org/10.1063/1.5055675 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Vladimir B. Sovkov Feng Xie Dan Li Sergey S. Lukashov Vera V. Baturo Jie Ma Li Li |
spellingShingle |
Vladimir B. Sovkov Feng Xie Dan Li Sergey S. Lukashov Vera V. Baturo Jie Ma Li Li Renewed analysis of the hyperfine structure of the Na2 13Δg state AIP Advances |
author_facet |
Vladimir B. Sovkov Feng Xie Dan Li Sergey S. Lukashov Vera V. Baturo Jie Ma Li Li |
author_sort |
Vladimir B. Sovkov |
title |
Renewed analysis of the hyperfine structure of the Na2 13Δg state |
title_short |
Renewed analysis of the hyperfine structure of the Na2 13Δg state |
title_full |
Renewed analysis of the hyperfine structure of the Na2 13Δg state |
title_fullStr |
Renewed analysis of the hyperfine structure of the Na2 13Δg state |
title_full_unstemmed |
Renewed analysis of the hyperfine structure of the Na2 13Δg state |
title_sort |
renewed analysis of the hyperfine structure of the na2 13δg state |
publisher |
AIP Publishing LLC |
series |
AIP Advances |
issn |
2158-3226 |
publishDate |
2018-12-01 |
description |
The hyperfine structure on the levels of the Na2 13Δg state reported in Liu et al. [J. Chem. Phys. 115, 3647 (2001)] is analyzed using a new approach that overcomes most of the approximations adopted in the cited article. We exclude an approximation of the united atom, implying that the electron cloud only interacts with the total nuclear spin, and replace it with the interactions between individual nuclei and electrons. Rather than equating the observed intensities in the spectra with the populations of the hyperfine (HF) components of a 13Δg state level excited from a hypothetical equilibrium HF ensemble in a state b3Π1u, we consider the more realistic excitation–de-excitation schemes in their entirety, and take into account the mixed character of the window levels of the A1Σu+∼b3ΠΩu system, which generally contains fractions of all Ω = 0, 1, 2. We also avoid an approximation of the major component, in which the probabilities of the optical dipole transitions are computed from the 0-th order state vector alone, and compute the contributions from all components of the blended states. The underlying theory and algorithms are described, and the parameters of the new model are fitted and reported. |
url |
http://dx.doi.org/10.1063/1.5055675 |
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