Meson baryon components in the states of the baryon decuplet

Abstract

We extend the Weinberg compositeness condition to partial waves of L = 1 and resonant states to determine the weight of meson-baryon component in the Jp = 3+/2 baryon decuplet. We obtain an appreciable weight of πN in the Δ(1232) wave function, of the order of 60 % and we also show that, as we go to higher energies in the members of the decuplet, the weights of meson-baryon component decrease and they already show a dominant part for a genuine component in the wave function. We interpret the meaning of the Weinberg sum-rule extended to complex energies.