Physics
Scientific paper
Sep 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phrvd..58e6002n&link_type=abstract
Physical Review D (Particles and Fields), Volume 58, Issue 5, 1 September 1998, id. 056002
Physics
1
Multiple Scattering, Stochastic Processes, Nuclear Emulsions
Scientific paper
The Yang equation describing the excess-path-length distribution under the multiple Coulomb scattering process is improved to take into account the continuous energy loss by ionization. The equation gives the simultaneous distribution of the direction of motion, lateral displacement, and longitudinal distribution of fast charged particles traversing through matter. The equation is analytically solved completely in the image space of Laplace transforms and the excess-path-length distributions corresponding to the most general conditions of geometry are obtained by the inverse Laplace transforms, exactly in series expansion or asymptotically through the saddle point method. The distributions after receiving ionization loss are indicated in figures and the effect of including ionization loss is discussed. The means and the variances of the distribution are also tabulated.
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