Journal of Experimental and Theoretical Physics Letters

, Volume 83, Issue 8, pp 303–307

Ab initio nonadiabatic calculation of the sensitivity coefficients for the X1Σg+B1Σu+; C1Πu lines of H2 to the proton-to-electron mass ratio


  • V. V. Meshkov
    • Faculty of ChemistryMoscow State University
  • A. V. Stolyarov
    • Faculty of ChemistryMoscow State University
  • A. V. Ivanchik
    • Ioffe Physicotechnical InstituteRussian Academy of Sciences
  • D. A. Varshalovich
    • Ioffe Physicotechnical InstituteRussian Academy of Sciences

DOI: 10.1134/S0021364006080017

Cite this article as:
Meshkov, V.V., Stolyarov, A.V., Ivanchik, A.V. et al. Jetp Lett. (2006) 83: 303. doi:10.1134/S0021364006080017


Ab initio nonadiabatic calculations of the wavelengths λij of the individual lines of the Lyman X1Σg+B1Σu+ and Werner X1Σg+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 B1Σu+ and C1Πu+ 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


Copyright information

© Pleiades Publishing, Inc. 2006