One-loop calculations of hyperon polarizabilities under the large N_c consistency condition

Abstract

The spin-averaged electromagnetic polarizabilities of the hyperons $Λ$ and $Σ$ are calculated within the one-loop approximation by use of the dispersion theory. The photon and meson couplings to hyperons are determined so as to satisfy the large N_c consistency condition. It is shown that in order for the large N_c consistency condition to hold exotic hyperon states such as $Σ^{**}$ with I=2 and J=3/2 are required in the calculation of the magnetic polarizability of the $Σ$ state.