Abstract
When average one-particle densities are spatially uniform at a microscopic level the state is considered to be a homogeneous liquid. A prescription is required for the basic dynamical elements involved in the averaging itself, and for hydrogen, at low densities and temperatures, these are the familiar hydrogen molecules. But, at compressions now achievable both by static and dynamic means, a more basic description in terms of protons and electrons incorporating residual pairing correlations is necessary. The latter are dependent in large part on the nature of effective state-dependent pair interactions between protons, and in a narrow band of densities near rs = 1.33, these may be especially weak. The hydrogen liquids refers to the (quantum) diatomic liquid, the high density monatomic liquid, and the variably correlated transition phases between the two.
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