Significant reduction of the internuclear potential in superconductive solid metallic hydrogen

Hydrogen varies its stable state in accordance with its temperature and density. Though molecular gas is stable in the environment, the monatomic state is stable in high density ranges of more than about 1 g cm-3. Such dense hydrogen has many aspects never seen in the molecular state. For example, in the range over about 108 K temperature and over 103 g cm-3 density, great efforts are being made to realize inertial confinement fusion (ICF). Additionally, in the range of temperature lower than about 105 K and of density more than 104 g cm-3 pycno nuclear fusion is supposed to occur. Here for the first time we have derived the expression for the Debye screening length of the interionic potential, taking into account correlated electron pairs, and investigated the nuclear reaction rate in superconductive solid metallic hydrogen. It is revealed that the screening length is shortened by correlated electron pairs that follow the Bose-Einstein distribution in the superconductive state. The bosonization increases the number of lower energy states of the electrons to increase the screening effects on the potential with decreases in the temperature, resulting in a significant enhancement of the nuclear reaction rate by more than 10 orders of magnitude