Abstract

We calculate the decay constants of light and heavy-light pseudoscalar and vector mesons with improved soft-wall holographic wavefuntions, which take into account the effects of both quark masses and dynamical spins. We find that the predicted decay constants, especially for the ratio fV/fP, based on light-front holographic QCD, can be significantly improved, once the dynamical spin effects are taken into account by introducing the helicity-dependent wavefunctions. We also perform detailed χ2 analyses for the holographic parameters (i.e. the mass-scale parameter κ and the quark masses), by confronting our predictions with the data for the charged-meson decay constants and the meson spectra. The fitted values for these parameters are generally in agreement with those obtained by fitting to the Regge trajectories. At the same time, most of our results for the decay constants and their ratios agree with the data as well as the predictions based on lattice QCD and QCD sum rule approaches, with only a few exceptions observed.

Highlights

  • Inspired by the correspondence between string theory in anti-de Sitter (AdS) space and conformal field theory (CFT) in physical space-time [1,2,3], a class of AdS/QCD approaches with two alternative AdS/QCD backgrounds has been successfully developed for describing the phenomenology of hadronic properties [4, 5]

  • The decay constants of light and heavy-light pseudoscalar and vector mesons have been evaluated with the improved soft-wall holographic wavefunctions, which are modified to take the effects of both quark masses and dynamical spins into account properly

  • With the best-fitted parameters as inputs, we presented our theoretical results for the decay constants as well as some important ratios among them

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Summary

Introduction

Inspired by the correspondence between string theory in anti-de Sitter (AdS) space and conformal field theory (CFT) in physical space-time [1,2,3], a class of AdS/QCD approaches with two alternative AdS/QCD backgrounds has been successfully developed for describing the phenomenology of hadronic properties [4, 5] In this direction, light-front (LF) holographic QCD exploits an approximate AdS5/QCD duality to obtain a Schrodinger-like equation for the transverse wavefunctions (WFs) of hadrons with massless quarks [19,39,40,41], the mass-scale parameter m12 entering in f (x, m1, m2) should not necessarily be identified with the parameter κ characterizing the dilation field In this paper, this kind of generalized holographic WF for massive quarks will be further studied and confronted with the decay constants of light and heavy-light mesons.

Improvements of holographic WF
Decay constants with improved holographic WF
Fit for the holographic parameters
Light mesons
Heavy-light mesons
Conclusion

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