Elastic Scattering of Low-Energy Electrons, Positrons and Protons in Copper

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Abstract
Total cross section (TCS) and differential cross section (DCS) are calculated using the partial wave method for the elastic scattering of 0.1 eV-1 keV electrons, positrons and protons in solid copper. At low energies, because of the cancellation of the electrostatic potential by the polarization of a copper atom bound in the solid and the absence of an exchange effect, the TCS for positrons is much smaller than that for electrons, whereas the TCSs for positrons and for electrons are comparable at the highest energy (1 keV). The DCS for electrons shows oscillatory behavior, and the DCS for positrons is smooth, the minimum being found at the forward direction. The DCS for protons dramatically increases for very small scattering angles near zero degrees, whereas the DCS is equal to that of positrons for angles larger than 30°(>10 eV).