Rovibrational energy levels of the hydrogen molecule through nonadiabatic perturbation theory

We present an accurate theoretical determination of rovibrational energy levels of the hydrogen molecule and its isotopologues in its electronic ground state. We consider all significant corrections to the Born-Oppenheimer approximation, obtained within nonadiabatic perturbation theory, including the mixed nonadiabatic-relativistic effects. Quantum electrodynamic corrections in the leading α⁵0.16em0exm and the next-to-leading α⁶0.16em0exm orders, as well as finite nuclear size effect, are also taken into account but within the Born-Oppenheimer approximation only. Final results for the transition wavelength between rovibrational levels achieve accuracy of the order of 10^-3--10^-74pt0excm^-1, and are provided by simple to use computer code.