Abstract
Finite-energy sum rules (FESR) with logarithmic terms are formulated in a way amenable to simple and accurate approximation, thus allowing their convenient use in data fitting with Regge cuts. It is observed that a typical cut FESR contribution is similar to that of a pole lying perhaps half a unit lower in the $J$ plane. Therefore $\ensuremath{\rho}+{\ensuremath{\rho}}^{\ensuremath{'}}$ fits to ${\ensuremath{\pi}}^{\ensuremath{-}}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}n$ seem to imply decoupling of the $\ensuremath{\rho}\ensuremath{\bigotimes}P$ Regge cut from the nonflip amplitude at $t=0$. This is investigated in more detail, and its implications are pointed out.
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