Physics
Scientific paper
Aug 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008phrve..78b1136n&link_type=abstract
Physical Review E, vol. 78, Issue 2, id. 021136
Physics
Classical Transport, Extensive Air Showers, Interplanetary Propagation And Effects, Multiple Scattering
Scientific paper
The Molière theory of multiple Coulomb scattering is improved to take account of ionization loss by applying a differential formulation of the theory. Distributions for the deflection angle θ⃗ , as well as for any linear combination between θ⃗ and the lateral displacement r⃗ , under the ionization process are derived by a series expansion with the same universal functions f(n)(ϑ) of Molière, except that the values for both the expansion parameter B and the scale angle θM are corrected from those under the fixed-energy process. We find that Goudsmit-Saunderson angular distribution with ionization is also expressed by the same characteristic parameters B and θM derived above by the Molière theory. The transport mechanism of Molière process of multiple Coulomb scattering and the stochastic property of Molière series expansion are also investigated and discussed.
Nakatsuka Takao
Nishimura Jun
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