Variational approach to the scattering of charged particles by a many-electron system

Details Variational approach to the scattering of charged particles by a many-electron system Variational approach to the scattering of charged particles by a many-electron system

2005-01-28

arxiv.org/abs/cond-mat/0501710v1

Phys. Rev. B. 71, 113105 (2005)

Physics

Condensed Matter

Materials Science

10 pages, 2 figures; Accepted to Physical Review B

Scientific paper

10.1103/PhysRevB.71.113105

We report a variational approach to the nonlinearly screened interaction of charged particles with a many-electron system. This approach has been developed by introducing a modification of the Schwinger variational principle of scattering theory, which allows to obtain nonperturbative scattering cross-sections of moving projectiles from the knowledge of the linear and quadratic density-response functions of the target. Our theory is illustrated with a calculation of the energy loss per unit path length of slow antiprotons moving in a uniform electron gas, which shows good agreement with a fully nonlinear self-consistent Hartree calculation. Since available self-consistent calculations are restricted to low heavy-projectile velocities, we expect our theory to have novel applications to a variety of processes where nonlinear screening plays an important role.

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