Concavity of the meson Regge trajectories

Abstract

It is illustrated by the fitted Regge trajectories for a large majority of mesons that both the radial and orbital Regge trajectories for mesons prefer being concave. The concavity of the meson Regge trajectories is model-independent. If the convex Regge trajectories or the Regge trajectories having the inflection points do not exist, the concavity can act as a criterion to choose a newly observed meson or to assign a particle to the unwell-established state. The curvature of the meson Regge trajectories can be taken as a guide in constructing models. The appropriate models should yield the spectra which can produce the concave Regge trajectories according to the concavity of the meson Regge trajectories. If the large majority of the meson Regge trajectories are concave while a few meson Regge trajectories are convex which neither have been confirmed nor have been completely excluded at present, many existing models should be corrected or even be reconstructed, which will lead to the further understanding of the meson dynamics.

12 pages, 2 figures, 3 tables. Matches the published version in PLB

References in corpus (20)

• Linear Confinement and AdS/QCD
• A review of the open charm and open bottom systems
• Quarkonia and their transitions
• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• Light and heavy mesons in a soft-wall holographic approach
• Bound state approach to the QCD coupling at low energy scales
• Properties of new unflavored mesons below 2.4 GeV
• QCD coupling below 1 GeV from quarkonium spectrum
• A systematic study of mass spectra and strong decay of strange mesons
• Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach
• Systematics of heavy quarkonia from Regge trajectories on $(n,M^2)$ and $(M^2,J)$ planes
• Bohr-Sommerfeld quantization and meson spectroscopy
• Light axial vector mesons
• Regge-like relation and a universal description of heavy-light systems
• Strong decays of the $X(2500)$ newly observed by the BESIII Collaboration
• Spectra of heavy-light mesons in a relativistic model
• The radial Regge trajectories and leptonic widths of the isovector mesons
• The possible members of the $5^1{S}_0$ meson nonet
• Regge trajectories of Excited Baryons, quark-diquark models and quark-hadron duality
• Regge Trajectories of Exotic Hadrons in the Flux Tube Model

Cited by in corpus (20)

• Hadronic Spectra from Deformed AdS Backgrounds
• Excited mesons, baryons, glueballs and tetraquarks: Predictions of the Holography Inspired Stringy Hadron model
• Non-linear Regge trajectories with AdS/QCD
• Pomeron/glueball and odderon/oddball trajectories
• Structure of the meson Regge trajectories
• Holographic stability for non-$q\bar{q}$ candidates
• Revisiting the pion Regge trajectories
• The bottom-charmed meson spectrum from a QCD approach based on Tamm--Dancoff approximation
• Dynamics of the quark-antiquark interaction and the universality of Regge trajectories
• Regge trajectories for the heavy-light diquarks
• Regge trajectories for the triply heavy bottom-charm baryons in the diquark picture
• Regge trajectory relations for the universal description of the heavy-light systems: diquarks, mesons, baryons and tetraquarks
• Regge trajectories for the light diquarks
• Revisiting the tensor $J^{PC}=2^{--}$ meson spectrum
• Regge trajectory relation for the universal description of the heavy-heavy systems: diquarks, mesons, baryons and tetraquarks
• $\lambda$ and $\rho$ Regge trajectories for hidden bottom and charm tetraquarks $(Qq)(\bar{Q}{\bar{q}}^{\prime })$
• Holographic quark masses and radiative decays of heavy vector mesons
• Regge trajectories for the triply heavy triquarks
• $\lambda$ and $\rho$ Regge trajectories for the pentaquark $P_{cc\bar{c}bb}$ in the diquark-triquark picture
• Mass spectrum, magnetic moments and Regge trajectories of ${\Omega }_{ccb}$ and ${\Omega }_{cbb}$ baryons in the nonrelativistic quark--diquark model