The Verification of the Moderator Response Function via Watson Transform

With the aid of residue evaluation, the time-dependent reflection response G_gr(t) of Shinkawa et al., which was recently used in a coupled-core stability analysis, is verified. The expansion series of the G_gr(t) is summed with the Watson method, and its consistency with neutron conservation is checked. The result justifies the previous addition of −δ(t) to a reflection term, which was made in the stability analysis. The meaning of the response flux eigenfunction expansion for a moderator region is discussed.