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Ultrahigh-intensity lasers (10$^{18}$-10$^{22}$W/cm$^{2}$) have opened up newperspectives in many fields of research and application [1-5]. By irradiating athin foil, an ultrahigh accelerating field (10$^{12}$ V/m) can be formed andmulti-MeV ions with unprecedentedly high intensity (10$^{10}$A/cm$^2$) in shorttime scale ($\sim$ps) are produced [6-14]. Such beams provide new options inradiography [15], high-yield neutron sources [16], high-energy-density-mattergeneration [17], and ion fast ignition [18,19]. An accurate understanding ofthe nonlinear behavior of beam transport in matter is crucial for all theseapplications. We report here the first experimental evidence of anomalousstopping of a laser-generated high-current proton beam in well-characterizeddense ionized matter. The observed stopping power is one order of magnitudehigher than single-particle slowing-down theory predictions. We attribute thisphenomenon to collective effects where the intense beam drives an deceleratingelectric field approaching 1GV/m in the dense ionized matter. This finding willhave considerable impact on the future path to inertial fusion energy.

Anomalous stopping of laser-accelerated intense proton beam in dense ionized matter