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

Abstract

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

06.20.Jr 31.15.Ar 95.30.Ky 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J.-P. Uzan, Rev. Mod. Phys. 75, 403 (2003).MathSciNetCrossRefADSGoogle Scholar
  2. 2.
    S. A. Levshakov and D. A. Varshalovich, Mon. Not. R. Astron. Soc. 212, 517 (1985).ADSGoogle Scholar
  3. 3.
    C. B. Foltz, F. Chaffee, and J. H. Black, Astrophys. J. 324, 267 (1988).CrossRefADSGoogle Scholar
  4. 4.
    D. A. Varshalovich and S. A. Levshakov, JETP Lett. 58, 237 (1993).ADSGoogle Scholar
  5. 5.
    D. A. Varshalovich and A. Y. Potekhin, Space Sci. Rev. 74, 259 (1995).CrossRefADSGoogle Scholar
  6. 6.
    A. Ivanchik, E. Rodriguez, P. Petitjean, and D. Varshalovich, Astron. Lett. 28, 423 (2002).CrossRefADSGoogle Scholar
  7. 7.
    L. A. Cowie and A. Songaila, Astrophys. J. 453, 596 (1995).CrossRefADSGoogle Scholar
  8. 8.
    A. Ivanchik, P. Petitjean, D. Varshalovich, et al., Astron. Astrophys. 440, 45 (2005).CrossRefADSGoogle Scholar
  9. 9.
    H. Lefebvre-Brion and R. W. Field, The Spectra and Dynamics of Diatomic Molecules (Academic, New York, 2004).Google Scholar
  10. 10.
    G. Staszewska and L. Wolniewicz, J. Mol. Spectrosc. 212, 208 (2002).CrossRefADSGoogle Scholar
  11. 11.
    L. Wolniewicz and G. Staszewska, J. Mol. Spectrosc. 220, 45 (2003).CrossRefADSGoogle Scholar
  12. 12.
    P. Senn, P. Quadrelli, and K. Dressler, J. Chem. Phys. 89, 7401 (1988).CrossRefADSGoogle Scholar
  13. 13.
    Ch. Jungen, Molecular Applications of Quantum Defect Theory (Inst. of Physics, Bristol and Philadelphia, 1996).Google Scholar
  14. 14.
    A. V. Stolyarov and M. S. Child, Phys. Rev. A 63, 052510 (2001).Google Scholar
  15. 15.
    A. V. Stolyarov and V. I. Pupyshev, Phys. Rev. A 49, 1693 (1994).CrossRefADSGoogle Scholar
  16. 16.
    T. Kiyoshima, S. Sato, E. A. Pazyuk, et al., J. Chem. Phys. 118, 121 (2003).CrossRefADSGoogle Scholar
  17. 17.
    D. M. Bishop and R. W. Wetmore, Mol. Phys. 26, 145 (1973).CrossRefGoogle Scholar
  18. 18.
    L. Wolniewicz, J. Chem. Phys. 99, 1851 (1993).CrossRefADSGoogle Scholar
  19. 19.
    C. Schwartz and R. J. Le Roy, J. Mol. Spectrosc. 121, 420 (1987).CrossRefADSGoogle Scholar
  20. 20.
    J. Philip, J. P. Sprengers, Th. Pielage, et al., Can. J. Chem. 82, 713 (2004).CrossRefGoogle Scholar
  21. 21.
    L. Wolniewicz, Chem. Phys. Lett. 233, 647 (1995).CrossRefADSGoogle Scholar

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

Personalised recommendations