Mechanism of Molière Expansion for the Angular Distribution and Improved Molière Functions Evaluated from the Single-Scattering Splitting Model

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We have attempted to derive the Molière angular distribution of multiple e Coulomb scattering through the splitting cross-section method. The separation of cross-section at χB or eB /2 times the screening angle well reconstructs the Molière e expansion as the first approximation, although a little distortion from the gaussian is seen in the central distribution due to the higher approximation terms. We have found well-known characteristic angle χC plays good discriminating angle to give central gaussian distribution and low-frequent large-angle scattering. We show the angular distribution derived through this splitting method shows good agreement with that derived by Molière-Bethe theory. e

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