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 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.
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