Calculation of fusion rates at extremely low energies in laser plasmas

At temperatures and densities that are typical of plasmas produced by lasers pulses interacting with solid targets, at power intensities I > 1012 W/cm2 , the classical Debye screening factor in nuclear reactions becomes comparable with the one of the solar core. Preliminary calculations about the total number of fusion reactions have been performed following an hydrodynamical approach for the description of the plasma dynamics. This approach is propaedeutic for future measurements of D-D fusion reaction rates.