The PMZBB probability generating function, taking into account the effect of delayed neutrons

Abstract

The PMZBB probability generating function, taking into account the delayed neutrons, is given by the W.K.B. method. The result is 1n G (x)=σ 0 (1−y)αΔ−2 1n (1+y) 2−(1−y) 2 exp(−αyΔ 4y +σ 0(1-y) 2αΔ σ j=0 6 Aj Wj H(wj) 1− 1− exp(−wjΔ) wjΔ where σ 0 is the effective neutron-source strength (dimensionless), α is the prompt-neutron decay constant, − ω j ( j = 0, 1, …, 6) are the roots of the inhour equation and y= 1+ 2εS α 2σΛ v (1−x) 1 2 .