Ab initio research of energy loss for energetic protons in solid-density Be

Ab initio research of energy loss for energetic protons in solid-density Be is made based on the average atom model. Our results are found in good agreement with the recent experiment for both warm and cool matter. Our results are compared with the local density approximation model and the reason for their difference is also explored. The energy loss at smaller projectile energies is predicted by our model and local density approximation, which helps probe the higher reliability of the proving model and judge the existence of the non-Fermi-Dirac velocity distribution for free electrons exists in dense plasmas in future.