Born random phase approximation for ion stopping in an arbitrarily degenerate electron fluid

The full R.P.A. dielectric function (rs < 1) is introduced in a calculation for stopping of pointlike and nonrelativistic positive ions in a homogeneous and dense electron fluid at any temperature. Results are given for values of degeneracy αe = μ/kB T. Accurate asymptotic expressions are worked out in the small and large projectile velocity limits. Simple interpolation formulae are displayed. The replacement of Fermi statistics by Boltzmann is also investigated for any temperature. Contact is achieved with previous high- and low-temperature approximations. The Jackson limit is recovered at T → ∞ and is modified in order to fit the full range of target densities and projectile velocities of interest. Relevance to heavy ion driven fusion is stressed throughout.