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
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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 numbers06.20.Jr 31.15.Ar 95.30.Ky
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