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Meson-baryon components in the states of the baryon decuplet

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Meson-baryon components in the states of the baryon decuplet

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Aceti, Francesca; Dai, L.R.; Geng, Li Sheng; Oset Báguena, Eulogio; Zhang, Yu

Aquest document és un/a article, creat/da en: 2014

We apply an extension of the Weinberg compositeness condition on partial waves of L = 1 and resonant states to determine the weight of the meson-baryon component in the Delta(1232) resonance and the other members of the baryon decuplet. We obtain an appreciable weight of pi N in the Delta(1232) wave function, of the order of 60%, 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 weights of the meson-baryon component decrease and they already show a dominant part for a genuine, non-meson-baryon, component in the wave function. We write a section to interpret the meaning of the Weinberg sum rule when it is extended to complex energies and another one for the case of an energy-dependent potential.

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