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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Main Authors: Vladimir B. Sovkov, Feng Xie, Dan Li, Sergey S. Lukashov, Vera V. Baturo, Jie Ma, Li Li
Format: Article
Language:English
Published: AIP Publishing LLC 2018-12-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5055675
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spelling 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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