Elastic Cross Section for Low-Energy-Proton Scattering in Copper with the Method of Partial Waves

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Abstract
The differential cross section and the mean free path for the elastic collision of protons in a copper from the Fermi energy to the keV energy are calculated using the method of partial waves and the muffin-tin potential. For keV energies, the differential cross section is smaller than that with the Hartree-Fock-Slater single atom potential only for very small scattering angles of less than several degrees, and agrees with it for almost all the angles. The mean free path is close to the average atomic distance in copper and depends only slightly on primary proton energy from the Fermi energy to 5 keV, while the mean free path with the Hartree-Fock-Slater potential becomes much smaller than the atomic distance.