Superconductivity in liquid metallic hydrogen

By solving the Eliashberg equations for the gap function, the superconducting transition temperature of a proposed low-temperature liquid state of metallic hydrogen is found to be comparable to that obtained, with similar approximations, for the solid. This indicates that metallic hydrogen may be a superconducting liquid in the density range $1.6>~r_s>~1.3$, where the melting point is expected to be fairly low.