Calculation of hydrogen molecule energy levels using the moment constant summability method with specialized weight

The moment constant summability method with specialized weight for the summation of divergent series of the perturbation theory is considered in this work. The method is applied to the calculation of vibrational-rotational energy levels of a two-atom hydrogen molecule. It was tested earlier only on model problems. Some energy levels obtained by the Pade, Pade-Borel, and Pade-Hermit methods and ab initio are considered for comparison. The calculations have been carried out for the ground state and first ten excited vibrational states. © 2011, Pleiades Publishing, Ltd.