Leading order nonadiabatic corrections to rovibrational levels of H2, D2, and T2

An efficient computational approach to nonadiabatic effects in the hydrogen molecule (H2, D2, and T2) is presented. The electronic wave function is expanded in the James-Coolidge basis set, which enables obtaining a very high accuracy of nonadiabatic potentials. A single point convergence of the potentials with growing size of the basis set reveals a relative accuracy ranging from 10(-8) to 10(-13). An estimated accuracy of the leading nonadiabatic correction to the rovibrational energy levels is of the order of 10(-7) cm(-1). After a significant increase in the accuracy of the Born-Oppenheimer and adiabatic calculations, the nonadiabatic results presented in this report constitute another step towards highly accurate theoretical description of the hydrogen molecule.