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

TL;DR

This paper derives hydrodynamic scaling laws for laser-driven nuclear fusion yields, showing they depend on laser power through reaction rate, plasma density, and particle range, enabling yield predictions for untested reactions.

Contribution

It introduces a hydrodynamic scaling framework for laser-driven fusion yields, providing a predictive model based on laser power dependence of key parameters.

Findings

Fusion yields scale with laser power.

Scaling laws relate reaction rate, plasma density, and particle range.

Model predicts yields for untested nuclear reactions.

Abstract

We discuss scaling laws of fusion yields generated by laser-plasma interactions. 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 in terms of hydrodynamic scaling. We point out that the scaling properties can be attributed to the laser power dependence of three terms: the reaction rate, the density of the plasma and the projected range of the plasma particle in the target medium. The resulting scaling relations have a predictive power that enables estimating the fusion yield for a nuclear reaction which has not been investigated by means of the laser accelerated ion beams.