Abstract
A partially linearized Thomas-Fermi-Weizs\"acker theory is proposed to study charged particles interacting with jellium. This simple theory can be derived by linearizing contributions involving the Thomas-Fermi kinetic-energy density. The calculations are based on a nonlinear inhomogeneous integrodifferential equation that includes the potential along the lines suggested by the original Thomas-Fermi-Weizs\"acker theory. Exchange-correlation effects are neglected. The coefficient of the von Weizs\"acker term is prescribed according to Kato's cusp condition in order to investigate both heavy and light particles in jellium. This theoretical framework is applied to compute the stopping power of a jellium for slow protons and antiprotons, induced electron densities, positron annihilation rates, and the electron-correlation function for antiparallel spin. Illustrative comparisons with the results of other theories are also made.
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