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We discuss scaling laws of fusion yields generated by laser-plasmainteractions. The yields are found to scale as a function of the laser power.The origin of the scaling law in the laser driven fusion yield is derived interms of hydrodynamic scaling. We point out that the scaling properties can beattributed to the laser power dependence of three terms: the reaction rate, thedensity of the plasma and the projected range of the plasma particle in thetarget medium. The resulting scaling relations have a predictive power thatenables estimating the fusion yield for a nuclear reaction which has not beeninvestigated by means of the laser accelerated ion beams.

Hydrodynamic Scaling Analysis of Nuclear Fusion driven by ultra-intense laser-plasma interactions