Self-Consistent Pomeranchon Coupling Ratios in the Multiperipheral Model

Abstract

Given the two leading eigenvalues and eigenfunctions of the resonance (low-subenergy) component of a multiperipheral kernel and assuming lower eigenvalues to be unimportant, it is shown how the mixture corresponding to the Pomeranchon eigenfunction may be calculated from considerations of self-consistency. The method is illustrated in a multiperipheral model with pseudoscalar-meson links by associating the two leading unperturbed eigenstates with the $2^{+}$ particles $f\left(1260\right)\mathrm{}$ and $f^{\prime }\mathrm{}\left(1514\right)\mathrm{}$.