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We report various many-body theoretical approaches to the nonlinear decayrate and energy loss of charged particles moving in an interacting freeelectron gas. These include perturbative formulations of the scattering matrix,the self-energy, and the induced electron density. Explicit expressions forthese quantities are obtained, with inclusion of exchange and correlationeffects.Comment: 11 pages, 5 figures. To appear in Journal of Physics

Many-body approach to the nonlinear interaction of charged particles with an interacting free electron gas