[3N01-04] Subcriticality Measurement

9:30 AM - 9:45 AM JST(12:30 AM - 12:45 AM UTC)

[3N01] Theoretical Derivation for Probability Generating Function of Neutron Counts in Non-Multiplication System Considering Higher Mode Components Based on α-eigenfunction Expansion

*Tomohiro Endo¹, Ryonosuke Ohashi¹, Ryoga Hirota¹, Akio Yamamoto¹ (1. Nagoya Univ.)

Keywords:

neutron decay constant,non-multiplication system,neutron fluctuation,probability generating function,α-eigenfunction

For a non-neutron multiplication system with ²⁵²Cf spontaneous fission sources, we derive a theoretical formula for the probability generating function that takes into account higher-order mode components based on α-eigenfunction expansion. Based on the derived formula, we can confirm that the typical reactor noise anlysis method (e.g., Feynman-α method) can be applied even for a non-neutron multiplication system.