Parity Doubling in the Meson Spectrum

Abstract

A simple argument for the restoration of parity symmetry high in the hadron spectrum is presented. The restoration scale is estimated to be 2.5 GeV. This in turn implies that typical quark model phenomenology such as scalar confinement or the ${}^3{P}_0$ decay model are only useful for low lying states. Minimal requirements for constructing more general phenomenologies are discussed. An additional mass degeneracy between $J^{++}$ and $J^{--}$ states is shown to occur and an isovector $3^{++}$ state is predicted at roughly 1700 MeV, in contradiction with the naive quark model. Similarly, isovector and isoscalar $4^{--}$ states are predicted at 2000 MeV. Finally, these results imply that Regge trajectories must become nonlinear at high spin.

5 pages, revtex, no figures, no tables. Version to appear in PLB

References in corpus (8)

• Coulomb Gauge QCD, Confinement, and the Constituent Representation
• I = 0 C = +1 mesons from 1920 to 2410 MeV
• Chiral multiplets versus parity doublets in highly excited baryons
• Partial wave analysis of pbar-p annihilation channels in flight with I=1, C=+1
• SU(2)_L * SU(2)_R and U(1)_A restorations high in the hadron spectrum and what it tells us about
• Combined analysis of meson channels with I=1, C = -1 from 1940 to 2410 MeV
• Chiral symmetry restoration and the string picture of hadrons
• Chiral Symmetry Breaking and Scalar Confinement

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• Effective restoration of chiral symmetry in excited mesons
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• Unquenching the Quark Model and Screened Potentials
• Probing the infrared quark mass from highly excited baryons
• Confinement Models at Finite Temperature and Density
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• Mixing and $m_q$ dependence of axial vector mesons in the Coulomb gauge QCD model
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• Hadronic Physics and Exotics
• Effective Chiral Symmetry Restoration for Heavy-Light Mesons