Concavity of the meson Regge trajectories

Chen, Jiao-Kai

doi:10.1016/j.physletb.2018.10.022

Cited by 22 publications

(25 citation statements)

References 122 publications

(213 reference statements)

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“…This work has been structured as follows: in Sec. II we consider four families of isovector mesons with different constituent quarks and we show that these mass spectra agree with a nonlinear Regge trajectory, parametrized by M 2 ¼ aðn þ bÞ ν inspired by the parametrization suggested in [18], where a primer interpretation for the exponent ν is to account for the linearity deviation in the radial trajectory. Notice that this suggested parametrization is far different from the ones proposed in the context of quantum corrections to the string formulation [28], and is also different from the ones suggested in [20,29].…”

Section: Introductionmentioning

confidence: 65%

“…Linear Regge trajectories are a good description of the mesonic mass spectra in the light sector, and this has been used traditionally as a guideline in order to catch hadron properties in the AdS side of AdS/QCD models. But if hadrons contain s or heavy quarks, linearity in trajectory is lost [16][17][18][19][20]. Moreover, starting from the quadratic form of Bethe Salpeter equation [19,21], it is possible to infer that mesons consisting of heavier quarks have Regge trajectories deviated from the linearity.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Regge trajectories with AdS/QCD

Contreras

Vega

2020

Phys. Rev. D

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In this work, we consider a nonquadratic dilaton ΦðzÞ ¼ ðκzÞ 2−α in the context of the static soft wall model to describe the mass spectrum of a wide range of vector mesons from the light up to the heavy sectors. The effect of this nonquadratic approach is translated into nonlinear Regge trajectories with the generic form M 2 ¼ aðn þ bÞ ν. We apply this sort of fits for the isovector states of ω, ϕ, J=ψ, and ϒ mesons and compare with the corresponding holographic duals. We also extend these ideas to the heavy-light sector by using the isovector set of parameters to extrapolate the proper values of κ and α through the average constituent massm for each mesonic specie considered. In the same direction, we address the description of possible non-qq candidates usingm as a holographic threshold, associated with the structure of the exotic state, to define the values of κ and α. We study the π 1 mesons in the light sector and the Z c , Y, and Z b mesons in the heavy sector as possible exotic vector states. Finally, the RMS error for describing these twenty-seven states with fifteen parameters (four values for κ and α respectively and seven values form) is 12.61%.

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Section: Introductionmentioning

confidence: 65%

Section: Introductionmentioning

confidence: 99%

Nonlinear Regge trajectories with AdS/QCD

Contreras

Vega

2020

Phys. Rev. D

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“…The Regge trajectories are a central feature of the hadron spectrum, and are still widely used today to characterize the spectrum of hadrons [68][69][70][71][72][73][74][75][76][77], although these descriptions usually deal only with light hadrons. Not only do we have the linear or near-linear trajectories of the light hadrons such as the ρ meson or the nucleons, but the picture also extends to the HISH mass modified Regge trajectories of hadrons including heavy quarks.…”

Section: Discussionmentioning

confidence: 99%

Excited mesons, baryons, glueballs and tetraquarks: predictions of the Holography Inspired Stringy Hadron model

Sonnenschein

Weissman

2019

Eur. Phys. J. C

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In this note we collect and summarize the predictions of the Holography Inspired Stringy Hadron (HISH) model. Following a brief review of the model, we list the masses and widths of predicted excited states across the spectrum, based on placing the different hadrons on the non-linear Regge trajectories of a string with massive endpoints. Our predicted states include: (i) Light, heavy-light and heavy-heavy mesons. (ii) Baryons, including charmed, doubly charmed and bottom baryons. (iii) Glueballs, together with a method to disentangle them from flavorless mesons. (iv) Genuine tetraquarks, which are not "molecules" of hadrons, and are characterized by their decay into a baryon and an anti-baryon.

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“…In Eq. (13) the number η f depends on the quark flavour and in light mesons we take η f =q = 0.90 [28]. The situation is different in heavy quarkonia, where the self-energy term is small and usually neglected, since e.g.…”

Section: The Mass Formulasmentioning

confidence: 99%

Dynamics of the quark-antiquark interaction and the universality of Regge trajectories

Бадалян

Баккер

2019

Phys. Rev. D

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The dynamical picture of a quark-antiquark interaction in light mesons, which provides linearity of radial and orbital Regge trajectories (RT), is studied with the use of the relativistic string Hamiltonian with flattened confining potential (CP) and taking into account three negative corrections: the gluon-exchanged, the self-energy, and the string corrections. Due to the flattening effect the radial slope βn and the orbital slope β l of the Regge trajectories decrease by ∼ 30% as compared to those in linear CP, while the string correction decreases only the orbital slope by the value ∼ 10%. The self-energy correction is very important and has large magnitude, ∼ −300 MeV for high excitations. It also provides the linearity of the RT, built for the centroid squared masses, and gives the small value of the intercept, β0 = 0.50(1) GeV 2 , equal to the squared centroid mass of ρ(1S). If the universal gluon-exchanged potential without fitting parameters and screening function, as in heavy quarkonia, is taken, then the radial slope, βn = 1.15(9) GeV 2 (l = 0), and the orbital slope, β l = 1.03(9) GeV 2 , have close values and the RT can be considered as approximately universal.

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Concavity of the meson Regge trajectories

Cited by 22 publications

References 122 publications

Nonlinear Regge trajectories with AdS/QCD

Nonlinear Regge trajectories with AdS/QCD

Excited mesons, baryons, glueballs and tetraquarks: predictions of the Holography Inspired Stringy Hadron model

Dynamics of the quark-antiquark interaction and the universality of Regge trajectories

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