Non-linear Regge trajectories with AdS/QCD

Abstract

In this work, we consider a non-quadratic dilaton $\Phi (z)=(\kappa z{)}^{2-\alpha }$ 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 non-quadratic approach is translated into non-linear Regge trajectories with the generic form $M^2=a(n+b{)}^{\nu }$. We apply this sort of fits for the isovector states of $\omega$, $\varphi$, $J/\psi$ and ${\rm Y}$ 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 $\kappa$ and $\alpha$ through the average constituent mass $\bar{m}$ for each mesonic specie considered. In the same direction, we address the description of possible non-$q\bar{q}$ candidates using $\bar{m}$ as a holographic threshold, associated with the structure of the exotic state, to define the values of $\kappa$ and $\alpha$. We study the ${\pi }_1$ 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 $\kappa$ and $\alpha$ respectively and seven values for $\bar{m}$) is $12.61\%$.

arXiv comment12 pages, 4 figures, 7 tables

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• Information in AdS/QCD: mass spectroscopy of isovector mesons
• Structure of the meson Regge trajectories
• Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons
• Holographic stability for non-$q\bar{q}$ candidates
• Configurational entropy of heavy-quark QCD exotica: engendering the next generation
• Regge trajectories for the heavy-light diquarks
• Regge trajectory relations for the universal description of the heavy-light systems: diquarks, mesons, baryons and tetraquarks
• Regge trajectories for the triply heavy bottom-charm baryons in the diquark picture
• Regge trajectories for the light diquarks
• Isospectrality and configurational entropy as testing tools for bottom-up AdS/QCD
• The effect of higher dimensional QCD operators on the spectroscopy of bottom-up holographic models
• $\lambda$ and $\rho$ Regge trajectories for hidden bottom and charm tetraquarks $(Qq)(\bar{Q}{\bar{q}}^{\prime })$
• Configurational entropy and shape complexity of strange vector kaons in AdS/QCD
• Holographic quark masses and radiative decays of heavy vector mesons
• Regge trajectories for the triply heavy triquarks
• Configurational information measure of mesonic states in 4-flavor AdS/QCD
• The case of equivalence of low and high energy constraints on Regge vector spectrum in AdS/QCD
• $\lambda$ and $\rho$ Regge trajectories for bottom-charm tetraquarks $(bq)(\bar{c}{\bar{q}}^{\prime })$ and $(cq)(\bar{b}{\bar{q}}^{\prime })$
• $\lambda$ and $\rho$ Regge trajectories for the pentaquark $P_{cc\bar{c}bb}$ in the diquark-triquark picture
• Deformed AdS/QCD, mesonic mass spectra, and DCE: Still a margin for heavier resonances
• Effects of beta function on mass and melting temperature for scalar glueballs in AdS/QCD models at finite temperature
• Spectroscopy of charmonium-like mesons, heavy-light mesons with charm, AdS/QCD, and configurational entropy
• Holographic information measures for spin-$3/2$ $\Delta$ baryons in AdS/QCD
• Vector mesons from a holographic QCD model in $f(R)$-dilaton gravity