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

Ab initio nonadiabatic calculations of the wavelengths lambda(ij) of the individual lines of the Lyman X-1 Sigma(+)(g) -> B-1 Sigma(+)(u) and Werner X-1 Sigma(+)(g) -> C-1 Pi(u) series of molecular hydrogen and corresponding sensitivity coefficients K-ij = dln lambda(ij)/dln gamma have been performed. These quantities are necessary for testing a possible change in the proton-to-electron mass ratio gamma = m(p)/m(e), in the process of cosmological evolution. The basic contribution to K-ij 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 B-1 Sigma(+)(u) and C-1 Pi(+)(u) states, for which change in K-ij that is caused by nonadiabatic effects reaches 14%, which can lead to a significant systematic shift in the estimate of the parameter gamma.