Comment on Particle Collision Method in Spherical Geometry by Escape Probabilities

Collision probabilities in spherical geometry are decomposed into a sum of Meijer's G functions, which are subsequently identified as the product of an exponential and a polynomial of finite degree and are hence easily computed. The series is then summed analytically, and the usual transport kernel for spherical geometry—the exponential integral—appears. A new form of the integral transport equation for the scalar flux is thus found.