6533b7d4fe1ef96bd1263328
RESEARCH PRODUCT
Meson-baryon components in the states of the baryon decuplet
Eulogi OsetLianrong DaiLianrong DaiYu ZhangLi-sheng GengF. Acetisubject
PhysicsNuclear and High Energy PhysicsParticle physicsMeson010308 nuclear & particles physicsHadronNuclear TheoryHigh Energy Physics::PhenomenologyFísica01 natural sciencesResonance (particle physics)Baryon0103 physical sciencesSum rule in quantum mechanicsPerturbation theory (quantum mechanics)010306 general physicsNucleonWave functionNuclear Experimentdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-03-01 |