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Meson-baryon components in the states of the baryon decuplet

  • F. Aceti*
  • , L. R. Dai
  • , L. S. Geng
  • , E. Oset
  • , Y. Zhang
  • *Corresponding author for this work
  • University of Valencia
  • CAS - Institute of Theoretical Physics
  • Liaoning Normal University

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number57
Pages (from-to)1-11
Number of pages11
JournalEuropean Physical Journal A
Volume50
Issue number3
DOIs
StatePublished - 2014

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