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Monte Carlo Study of Shower Production
Phys. Rev. 86, 261 – Published 1 May, 1952
DOI: https://doi.org/10.1103/PhysRev.86.261
Abstract
Electron- and photon-initiated showers in lead have been calculated in a simple Monte Carlo manner for energies from 20 to 500 Mev. The results, exhibited in a series of transition curves, show considerable differences from the results of conventional cascade theory in that the number of electrons at the maximum are fewer and the shower is more penetrating.
The effects of multiple Coulomb scattering of the electrons have been included and depend markedly on the measurement considered. Thus, ionization currents are only slightly changed (the transition curves are foreshortened by about one-half radiation length) while the number of electrons counted behind lead plates in a cloud chamber can be reduced by as much as 50 percent by effects of multiple scattering. This result is nearly independent of the incident energy.
The final curves obtained are compared with the ionization measurement of Blocker, Kenney, and Panofsky and the cloud-chamber measurements of A. M. Shapiro. The agreement is satisfactory.
A simple quasi-analytic cascade theory is developed in which known low energy solutions are used to obtain successively higher energy solutions.
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Omitted endnote
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Omitted endnote
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