English

Excited Hadrons and Quark-Hadron Duality

High Energy Physics - Phenomenology 2017-07-25 v1 Nuclear Theory

Abstract

We review how Quark-Hadron Duality (QHD) for (u,d) flavors at high energies and in the scaling regime suggests a radial and angular behaviour of mesonic and baryonic resonance masses of the Regge form MnJ2=μ2n+β2J+M02M^2_{nJ} = \mu^2 n + \beta^2 J + M_0^2 . The radial mass dependence is asymptotically consistent with a common two-body dynamics for mesons and baryons in terms of the quark-antiquark (qqˉ)q \bar q) and quark-diquark (qDqD) degrees of freedom, respectively. This formula is validated phenomenologically within an uncertainty determined by half the width of the resonances, ΔMnJ2ΓnJMnJ\Delta M_{nJ}^2 \sim \Gamma_{nJ} M_{nJ}. With this error prescription we find from the non-strange PDG hadrons different radial slopes μqˉq2=1.34(4)GeV2\mu^2_{\bar qq}=1.34(4) {\rm GeV}^2 and μqD2=0.75(3)GeV2\mu^2_{qD}=0.75(3) {\rm GeV}^2, but similar angular slopes βqˉq2βqD21.15GeV2\beta_{\bar q q}^2 \sim \beta_{ q D}^2 \sim 1.15 {\rm GeV}^2.

Keywords

Cite

@article{arxiv.1707.07508,
  title  = {Excited Hadrons and Quark-Hadron Duality},
  author = {E. Ruiz Arriola and P. Masjuan and W. Broniowski},
  journal= {arXiv preprint arXiv:1707.07508},
  year   = {2017}
}

Comments

6 pages, 4 figures, Acta Physica Polonica B style, talk by E. Ruiz Arriola at workshop "Excited QCD 2017", Sintra, Portugal, May 7-13, 2017

R2 v1 2026-06-22T20:55:35.527Z