Nuclear Fusion Induced by Coulomb-Hydrodynamic Explosion of Deuterium Clusters in Intense Laser Pulses

Considering the Coulomb-hydrodynamic explosion induced by the interaction of a deuterium cluster target with an ultra-intensity femtosecond laser, we analyse the mechanism of generating energetic deuterium nuclei for the fusion. We propose formulae for expansions of deuterium ion cluster which are driven by Coulomb-hydrodynamic explosion. Hence the kinetic energies of deuterium nuclei, the expansion time and exploding efficiency of deuterium ion cluster have been estimated.