New algorithms for the Vavilov distribution calculation and the corresponding energy loss sampling

摘要

Two new algorithms for the fast calculation of the Vavilov distribution within the interval 0.01>x>10, where neither the Gaussian approximation nor the Landau distribution may be used, are presented. These algorithms are particularly convenient for the sampling of the corresponding random energy loss. A comparison with the exact Vavilov distribution for the case of protons traversing Al slabs is given.