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We calculate the nonadiabatic relativistic correction to rovibrational energylevels of H$_2$, D$_2$, and HD molecules using the nonadiabatic perturbationtheory. This approach allows one to obtain nonadiabatic corrections to all themolecular levels with the help of a single effective potential. The obtainedresults are in very good agreement with the previous direct calculation ofnonadiabatic relativistic effects for dissociation energies and resolve thereported discrepancies of theoretical predictions with recent experimentalresults.

Nonadiabatic relativistic correction in H$_2$, D$_2$, and HD