Abstract
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 Δ(1232) resonance and the other members of the Jp =3/2+ baryon decuplet. We obtain an appreciable weight of πN in the Δ(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 πN 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.
| Original language | English |
|---|---|
| Article number | 57 |
| Pages (from-to) | 1-11 |
| Number of pages | 11 |
| Journal | European Physical Journal A |
| Volume | 50 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2014 |
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