Exact calculations of pair production and screening

Abstract

g(r) x~ / ~ = W(r) z-'J In the above formulae we follow Ros()'s no ta t ions (4). The f tmctions ](r) and g(r) are the radia l solutions of t he Dirae equa t ion in the field of the nucleus (4,5). In thei r work, 0VEFmO, MORK and 0LSES (1) t ake a point l ike nucleus and a pure Coulomb field. The fmmtious /(r) and g(r) are expressed v ia confluent hypcrgeomet r i c funct ions (4,5). Af te r some in tegra t ions these au thors give the to t a l cross-section and the spectra da/dE+ for T cnergies f rom threshold to 5 MeV and for different Z-values.