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Scattering on electrons inside the metal

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Suppose we have a metal and a very light particle with the energy $E \simeq \text{ eV}$ moving inside the metal. Suppose next that it, although is electrically neutral, can scatter on electrons through "virtual photons" (an example is $\pi^{0}F\tilde{F}$ coupling of neutral pion to EM field).

The electrons inside the metal are quasi-free. My question: could I describe the scattering of the particle on electrons as the usual free-free scattering for the particle's eV energy range? I.e., may I simply neglect the metal band structure and boundedness of electrons and assume them to be free when considering the scattering for this energy range?

asked May 26 in Theoretical Physics by NAME_XXX (1,010 points) [ revision history ]
edited May 26 by NAME_XXX

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