Application of laser-accelerated high-energy protons for isochoric heating of matter

The possibility of producing, in a controlled way, matter at solid density (1-10 g/cm3) while maintaining it at a high temperature (1-100 eV) has been for a long time a desired goal. Studying matter in these conditions would provide an array of information useful for a variety of problems [1] that range from fundamental physics (dense and relatively cold matter at the frontier of plasma physics) to astrophysics (matter in the planetary cores) through applications like ICF (stopping power of particles in warm dense matter).