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

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.