F. Aceti, L. R. Dai, L. S. Geng, E. Oset, Y. Zhang
We apply an extension of the Weinberg compositeness condition on partial waves of L=1 and resonant states to determine the amount of meson-baryon component in the $\Delta(1232)$ resonance and the other members of the $J^P= 3/2^+$ baryon decuplet. We obtain an appreciable amount of $\pi N$ in the $\Delta(1232)$ wave function, of the order of 70%, an amount which looks more natural when one recalls that experiments on deep inelastic and Drell Yan give a fraction of $\pi N$ component of 34% for the nucleon. We also show that, as we go to higher energies in the members of the decuplet, the amount of meson-baryon component decreases and they already show a dominant part for a genuine, non meson-baryon, component in the wave function.
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http://arxiv.org/abs/1301.2554
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