Chiral Symmetry Breaking and Meson Wave Functions in Soft-Wall AdS/QCD

Abstract

We consider mesons composed of light and heavy quarks and discuss the construction of the corresponding meson wave functions in soft-wall AdS/QCD. We specifically take care that constraints imposed by chiral symmetry breaking and by the heavy quark limit are fulfilled. The main results are: i) the wave functions of light mesons have a nontrivial dependence on the current quark mass, which gives rise to a mass spectrum consistent with the one including explicit breaking of chiral symmetry; ii) the wave functions of heavy-light mesons generate their correct mass spectrum, the mass splittings of vector and pseudoscalar states, and the correct scaling of leptonic decay constants f(Q \bar q) \sim 1/sqrt(mQ); iii) the wave functions of heavy quarkonia produce their correct mass spectrum and lead to a scaling behaviour of the leptonic decay constants f(Q \bar Q) \sim sqrt(mQ) and f(c \bar b) \sim mc/sqrt(mb) at mc << mb, consistent with potential models and QCD sum rules.

10 pages

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Cited by in corpus (21)

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• Deuteron electromagnetic structure functions and polarization properties in soft-wall AdS/QCD
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• Charge and longitudinal momentum distributions in transverse coordinate space
• Light-front potential for heavy quarkonia constrained by the holographic soft-wall model
• Form factors and transverse charge and magnetization densities in the hard-wall AdS/QCD model
• Longitudinal dynamics for mesons on the light cone
• Glueball-glueball scattering and the glueballonium
• Meson masses and decay constants in holographic QCD consistent with ChPT and HQET
• Light-Front Holography in QCD and Hadronic Physics
• Bulk-to-boundary propagators with arbitrary total angular momentum $J$ in soft-wall AdS/QCD
• On incorporation of heavy-quark mass into soft-wall holographic models
• Prospects for observing the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ decay at the HL-LHC
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