Abstract
A perturbation theory is used to compute the leading terms in the difference between low-lying energy levels of metallic hydrogen. Energy levels are found which are lower than the normal state, provided that the nuclear mass is large enough, and these levels are assumed to be superconducting. The description of the superconductivity does not agree with that given by current models. The origin of the lower-energy states is a direct coupling between electrons and longitudinal long-wavelength bare phonons.