On the coulomb scattering of μ-mesons by light nuclei

Summary  Using a «one particle model» of the nucleus, the coulomb scattering of μ-mesons by light nuclei is treated in Born approximation. One has to distinguish a coherent scattering and an incoherent scattering as in the case of X-rays or slow electrons scattered by atoms. Using a parabolic well model one can derive, in an elementary way, an expression of the coherent scattering cross section which is an extension of the well known Williams' formula. Such an expression can be useful in the case of μ-mesons of such a high energy, that the corresponding λ turns out to be comparable with the distance of protons inside the nucleus. Also the spectra of the incoherently scattered μ-mesons are derived in an elementary way. Finally the influence on the coherent+incoherent scattering, of a finite value of the electromagnetic radius of the proton is discussed.