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Title: Bethe logarithm for the hydrogen molecular ion H{sub 2}{sup +}

Abstract

The mean excitation energy (the Bethe logarithm) is calculated for the lowest rotational (up to L=4) and vibrational (up to v=4) states of the hydrogen molecular ion H{sub 2}{sup +}. The calculations are based on a method of the direct integration over photon momenta. The estimated accuracy of obtained values is about 10{sup -6}. The Araki-Sacher Q term is computed as well, which allows us to evaluate the leading order {alpha}{sup 3} radiative correction to the rovibrational energies of the hydrogen molecular ion.

Authors:
 [1]
  1. Joint Institute for Nuclear Research, 141980 Dubna (Russian Federation)
Publication Date:
OSTI Identifier:
20974649
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.73.024502; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ACCURACY; EXCITATION; HYDROGEN; HYDROGEN IONS 2 PLUS; MOLECULAR IONS; OSCILLATIONS; PHOTONS; ROTATIONAL STATES; SIMULATION; VIBRATIONAL STATES

Citation Formats

Korobov, Vladimir I. Bethe logarithm for the hydrogen molecular ion H{sub 2}{sup +}. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.024502.
Korobov, Vladimir I. Bethe logarithm for the hydrogen molecular ion H{sub 2}{sup +}. United States. doi:10.1103/PHYSREVA.73.024502.
Korobov, Vladimir I. Wed . "Bethe logarithm for the hydrogen molecular ion H{sub 2}{sup +}". United States. doi:10.1103/PHYSREVA.73.024502.
@article{osti_20974649,
title = {Bethe logarithm for the hydrogen molecular ion H{sub 2}{sup +}},
author = {Korobov, Vladimir I.},
abstractNote = {The mean excitation energy (the Bethe logarithm) is calculated for the lowest rotational (up to L=4) and vibrational (up to v=4) states of the hydrogen molecular ion H{sub 2}{sup +}. The calculations are based on a method of the direct integration over photon momenta. The estimated accuracy of obtained values is about 10{sup -6}. The Araki-Sacher Q term is computed as well, which allows us to evaluate the leading order {alpha}{sup 3} radiative correction to the rovibrational energies of the hydrogen molecular ion.},
doi = {10.1103/PHYSREVA.73.024502},
journal = {Physical Review. A},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}