Decay constants of heavy meson of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mn>0</mml:mn><mml:mo>−</mml:mo></mml:msup></mml:math> state in relativistic Salpeter method

Cvetič, Gorazd; Kim, C. S.; Wang, Guoli; Namgung, W.

doi:10.1016/j.physletb.2004.06.092

Cited by 86 publications

(29 citation statements)

References 31 publications

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“…Our result of the ratios f D * s / f D * = 1.13 is also in good agreement with other theoretical model calculations such as 1.16 ± 0.02 ± 0.06 from the lattice QCD [54] and 1.10 ± 0.06 from the BS model [56].…”

Section: Fig 2 (Color Online) Fit Of the Ground State Meson Massessupporting

confidence: 92%

“…) together with CJ model [23], lattice QCD [51][52][53][54], QCD sum rules [55], relativistic Bethe-Salpeter (BS) model [56], relativized quark model [57], and other relativistic quark model (RQM) [58] predictions as well as the available experimental data [45,59]. We extract the experimental value ( f J/Ψ ) exp = (407 ± 5) MeV from the data Γ exp (J/Ψ → e + e − ) = (5.55 ± 0.14) keV [45] and the formula…”

Section: Fig 2 (Color Online) Fit Of the Ground State Meson Massesmentioning

confidence: 99%

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Variational analysis of mass spectra and decay constants for ground state pseudoscalar and vector mesons in the light-front quark model

Choi

et al. 2015

Phys. Rev. C

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Using the variational principle, we compute mass spectra and decay constants of ground state pseudoscalar and vector mesons in the light-front quark model (LFQM) with the QCD-motivated effective Hamiltonian including the hyperfine interaction. By smearing out the Dirac delta function in the hyperfine interaction, we avoid the issue of negative infinity in applying the variational principle to the computation of meson mass spectra and provide analytic expressions for the meson mass spectra. Our analysis with the smeared hyperfine interaction indicates that the interaction for the heavy meson sector including the bottom and charm quarks gets more pointlike. We also consider the flavor mixing effect in our analysis and determine the mixing angles from the mass spectra of (ω, φ ) and (η, η ). Our variational analysis with the trial wave function including the two lowest order harmonic oscillator basis functions appears to improve the agreement with the data of meson decay constants and the heavy meson mass spectra over the previous computation handling the hyperfine interaction as perturbation.

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Section: Fig 2 (Color Online) Fit Of the Ground State Meson Massessupporting

confidence: 92%

Section: Fig 2 (Color Online) Fit Of the Ground State Meson Massesmentioning

confidence: 99%

Variational analysis of mass spectra and decay constants for ground state pseudoscalar and vector mesons in the light-front quark model

Choi

et al. 2015

Phys. Rev. C

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“…In Table IV we confront our results for pseudoscalar decay constants of the heavy-light mesons as well as their ratios with the recent predictions based on the Salpeter equation [15], values from the unquenched two- [2] and three-flavour [4,5] lattice QCD, 6 QCD sum rules [7,8,9] and available experimental data [17]. Reliable experimental data, up till recently, existed only for f Ds , which was measured by several experimental collaborations (ALEPH, DELPHI, L3, OPAL, Beatrice, CLEO, E653, WA75, BES) both in the D s → µν and the D s → τ ν decay channels.…”

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confidence: 84%

“…The weak decay constants of pseudoscalar and vector mesons belong to their most important characteristics, which enter in various decay rates. Many efforts were undertaken to calculate these constants within lattice QCD (both quenched and unquenched) [1,2,3,4,5,6], QCD sum rules [7,8,9], and constituent quark models [10,11,12,13,14,15,16]. At present, the decay constants of light mesons are measured with high precision, while in the heavy-light meson sector only D and D s meson decay constants are available with rather large errors [17].…”

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confidence: 99%

Relativistic treatment of the decay constants of light and heavy mesons

2006

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Novel relativistic expressions are used to calculate the weak decay constants of pseudoscalar and vector mesons within the constituent quark model. Meson wave functions satisfy the quasipotential equation with the complete relativistic potential. New contributions, coming from the negative-energy quark states, are substantial for the light mesons, significantly decrease the values of their decay constants and, thus, bring them into agreement with experiment. For heavy-light mesons these contribution are much less pronounced, but permit to reduce uncertainties of the predicted decay constants. Their values agree with the results of lattice calculations and experimental data. The weak decay constants of pseudoscalar and vector mesons belong to their most important characteristics, which enter in various decay rates. Many efforts were undertaken to calculate these constants within lattice QCD (both quenched and unquenched) [1,2,3,4,5,6], QCD sum rules [7,8,9], and constituent quark models [10,11,12,13,14,15,16]. At present, the decay constants of light mesons are measured with high precision, while in the heavy-light meson sector only D and D s meson decay constants are available with rather large errors [17]. Recently, a relatively precise experimental value for the D meson decay constant was presented by the CLEO Collaboration [18]. Therefore it is actual to reconsider the meson decay constants treating quarks, composing the meson, in a consistently relativistic way. Such procedure was formulated and successfully applied for light mesons in the papers [19]. In this letter we evaluate new contributions to relativistic expressions for the meson decay constants coming from the negative-energy quark states both for light and heavy-light mesons. We use the meson wave functions satisfying the quasipotential equation with the complete relativistic potential in order to obtain new, more accurate predictions for the meson decay constants.In the quasipotential approach a meson is described by the wave function of the bound quark-antiquark state [20], which satisfies the quasipotential equation of the Schrödinger

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“…However, in this paper, we use the hadronic currents in Refs. [8,9], which are obtained by the Bethe-Salpeter (BS) method [10][11][12][13][14][15]. The BS method has several particular features.…”

Section: Introductionmentioning

confidence: 99%