Ab initio nonadiabatic calculation of the sensitivity coefficients for the X1Σ g + B1Σ u + ; C1Πu lines of H2 to the proton-to-electron mass ratio

  • V. V. Meshkov
  • A. V. Stolyarov
  • A. V. Ivanchik
  • D. A. Varshalovich


Ab initio nonadiabatic calculations of the wavelengths λij of the individual lines of the Lyman X1Σ g + B1Σ u + and Werner X1Σ g + C1Πu series of molecular hydrogen and corresponding sensitivity coefficients Kij = dlnλij/dlnγ have been performed. These quantities are necessary for testing a possible change in the proton-to-electron mass ratio γ = mp/me in the process of cosmological evolution. The basic contribution to Kij comes from the difference between the average kinetic energies of vibrations of combined states. Nonadiabatic interactions are important for a small number of locally-perturbed rovibrational levels of the B1Σ u + and C1Π u + states, for which change in Kij that is caused by nonadiabatic effects reaches 14%, which can lead to a significant systematic shift in the estimate of the parameter γ.

PACS numbers

06.20.Jr 31.15.Ar 95.30.Ky 


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Copyright information

© Pleiades Publishing, Inc. 2006

Authors and Affiliations

  • V. V. Meshkov
    • 1
  • A. V. Stolyarov
    • 1
  • A. V. Ivanchik
    • 2
  • D. A. Varshalovich
    • 2
  1. 1.Faculty of ChemistryMoscow State UniversityMoscowRussia
  2. 2.Ioffe Physicotechnical InstituteRussian Academy of SciencesSt. PetersburgRussia

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