Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction

  • 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.
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Qin Chang, Xiao-Nan Li, Xin-Qiang Li and Fang Su. Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction[J]. Chinese Physics C, 2018, 42(7): 073102. doi: 10.1088/1674-1137/42/7/073102
Qin Chang, Xiao-Nan Li, Xin-Qiang Li and Fang Su. Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction[J]. Chinese Physics C, 2018, 42(7): 073102.  doi: 10.1088/1674-1137/42/7/073102 shu
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Received: 2018-03-15
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    Supported by National Natural Science Foundation of China (11475055, 11675061, 11435003), Q. Chang is also supported by the Foundation for the Author of National Excellent Doctoral Dissertation of China (201317), the Program for Science and Technology Innovation Talents in Universities of Henan Province (14HASTIT036), the Excellent Youth Foundation of HNNU. X. L. is also supported in part by the self-determined research funds of CCNU from the colleges' basic research and operation of MOE (CCNU18TS029)

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Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction

    Corresponding author: Fang Su,
  • 1. Institute of Particle and Nuclear Physics, Henan Normal University, Henan 453007, China
  • 2. Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics(MOE), Central China Normal University, Wuhan 430079, China
  • 3.  Institute of Particle and Nuclear Physics, Henan Normal University, Henan 453007, China
  • 4.  Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics(MOE), Central China Normal University, Wuhan 430079, China
Fund Project:  Supported by National Natural Science Foundation of China (11475055, 11675061, 11435003), Q. Chang is also supported by the Foundation for the Author of National Excellent Doctoral Dissertation of China (201317), the Program for Science and Technology Innovation Talents in Universities of Henan Province (14HASTIT036), the Excellent Youth Foundation of HNNU. X. L. is also supported in part by the self-determined research funds of CCNU from the colleges' basic research and operation of MOE (CCNU18TS029)

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.

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