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Effect of Finite Nuclear Size on the Elastic Scattering of Electrons
Phys. Rev. 82, 488 – Published 15 May, 1951
DOI: https://doi.org/10.1103/PhysRev.82.488
Abstract
The effect of the finite size of the nucleus on the elastic scattering of electrons with energies in the neighborhood of 20 Mev has been calculated for two simple spherical nuclear models: a uniform charge distribution, and a uniform shell charge distribution, both of radius cm. An exact phase shift analysis has been made, the phase shifts differing appreciably from those for a point nucleus only in the state.
Phase shifts for elements of have been plotted as a function of energy over the interval from 15 to 35 Mev, permitting the calculation of any desired cross section within this range. Representative curves of the ratio of the scattering cross section for the finite nucleus to that for a point nucleus have been plotted.
The difference in the scattering due to the two models is large enough so that accurate experiments might distinguish between them, the actual average nuclear charge distribution probably falling somewhere between these two cases. The ability to differentiate between the two models, however, depends on the accuracy with which nuclear radii are known.
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