Excited Hadrons and Quark-Hadron Duality

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 $M^2_{nJ} = μ^2 n + β^2 J + M_0^2 $. The radial mass dependence is asymptotically consistent with a common two-body dynamics for mesons and baryons in terms of the quark-antiquark ($q \bar q)$ and quark-diquark ($qD$) degrees of freedom, respectively. This formula is validated phenomenologically within an uncertainty determined by half the width of the resonances, $ΔM_{nJ}^2 \sim Γ_{nJ} M_{nJ}$. With this error prescription we find from the non-strange PDG hadrons different radial slopes $μ^2_{\bar qq}=1.34(4) {\rm GeV}^2$ and $μ^2_{qD}=0.75(3) {\rm GeV}^2$, but similar angular slopes $β_{\bar q q}^2 \sim β_{ q D}^2 \sim 1.15 {\rm GeV}^2$.

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