Summary
By applying a relativistic extension of Molière’s formula for the electron scattered amplitude to the particular case of potentials generated by radial charge distributions of finite extent, it is shown that the amplitude can be resolved into three distinct contributions: 1) the Mott point-charge scattered amplitude; 2) a correction to this arising from the finite radial cut-off and 3) a term characteristic of the charge distribution. The resulting expression is applied to the case of a uniform charge distribution for which an optical analogy is indicated.
Riassunto
Ricorrendo ad un’estensione relativistica della formula di Molière per l’ampiezza di scattering dell’elettrone al caso particolare di potenziali generati da distribuzioni di carica radiali, di estensione finita, si dimostra che l’ampiezza può essere suddivisa in tre contributi distinti: 1) l’ampiezza di scattering della carica puntiforme di Mott; 2) una correzione a questa dovuta al cut-off radiale finito, e 3) un termine caratteristico della distribuzione della carica. L’espressione risultante si applica al caso di una distribuzione di carica uniforme, per la quale si indica un’analogia ottica.
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References
L. I. Schiff:Phys. Rev.,103, 443 (1956).
B. J. Malenka: private communication.
G. Parzen:Phys. Rev.,80, 261 (1950).
G. Molière:Zeits. f. Naturfor.,2 A, 133 (1947).
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A preliminary report of this work was given at the 76th Meeting of the Oregon Section of the A.A.P.T.
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Valk, H.S. High-energy electron scattering from nuclei with finite charge distributions. Nuovo Cim 10, 200–204 (1958). https://doi.org/10.1007/BF02732479
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DOI: https://doi.org/10.1007/BF02732479