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Neutrino Factory/Muon Collider Document 124-v1

Comparison of Moliere scatttering theory with Mott scattering in liquid hydrogen

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MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
04 May 2000, 12:00
Contents Revised:
04 May 2000, 12:00
Metadata Revised:
04 May 2000, 12:00
Actually Revised:
14 Sep 2006, 13:35
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We examine multiple scattering in liquid hydrogen by direct simulation of multiple single
scattering events. We use the Mott cross section modified by atomic and nuclear form factors to
model single scattering events. The computed total elastic cross section and the resulting value
for the mean free path between elastic collisions agrees well with other similar calculations. The
spatial angle distribution agrees approximately with Moliere theory when the number of
collisions in the material corresponds to the parameter êo expected in the theory. However,
detailed examination of the shape of the angular distribution using the total cross section
determined here suggests that the Moliere theory may underestimate the scattering probability in

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