Diffusion of Heavy Particles in Metals
Protons or muons moving in the jellium of the metal electrons are treated theoretically. It is noted that the screening electron cloud cannot follow the particle adiabatically. The electrons are not fast enough, because their excitation energy can be as small as zero. When the muon or the proton tunnels from one potential well to another, the tunneling matrix is renormalized by a factor which is small compared with unity and depends on a power of the temperature. This power law reflects the non-adiabatic effect just mentioned. Measurement on the diffusion constant of the positive muon in copper as well as that of inelastic neutron scattering from protons in niobium are discussed in terms of the theory.
KeywordsExcitation Energy Electron Wave Function Inelastic Neutron Total Wave Function Adiabatic Potential
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