Heavy-quarkonium systems and the QCD scale parameter<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Λ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">MS</mml:mi><mml:mi mathvariant="italic">¯</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>

Igi, Keiji; Ono, Shunsuke

doi:10.1103/physrevd.33.3349

Cited by 54 publications

(35 citation statements)

References 25 publications

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“…This leads to expanding α s to at least 2-loop order and use of nontrivial methods in the interpolation between long-and short-distance behaviors. The interquark potential at short distances has been calculated to 2-loop calculations in the modified minimal-subtraction (MS) scheme [25]. Together with the 2-loop expression for α s , one has [10,25]…”

Section: Igi-ono Potentialmentioning

confidence: 99%

“…We insist upon strict flavor-independence of their parameters. We also extend this study to an improved QCD-motivated interquark potential calculated to two loops in the modified minimal-subtraction MS scheme [25,26]. Such a potential contains an expansion to α s to at least 2-loop order and use of nontrivial methods in the interpolation between long-distance (string constant) and short-distance behaviors [10].…”

Section: Introductionmentioning

confidence: 99%

“…The fitted set of parameters and SAD mass spectrum and their splittings of the Igi-Ono potential [25] labeled by type 1, 2 and 3, are listed in Table IV, V and VI. It is clear that the overall study seems likely to be pretty good and the reproduced fine and hyperfine splittings of the states are also reasonable.…”

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confidence: 99%

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SPECTROSCOPY OF B_c MESON IN A SEMI-RELATIVISTIC QUARK MODEL USING THE SHIFTED LARGE-N EXPANSION METHOD

Ikhdair

Sever

2004

Int. J. Mod. Phys. A

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Section: Igi-ono Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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SPECTROSCOPY OF B_c MESON IN A SEMI-RELATIVISTIC QUARK MODEL USING THE SHIFTED LARGE-N EXPANSION METHOD

Ikhdair

Sever

2004

Int. J. Mod. Phys. A

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“…These can be broadly classified as 1) QCD motivated potential [1][2][3][4][5] and 2) purely phenomenological potential [6][7][8][9]. A comprehensive list of potential models is described in the work of Lichtenberg [10].…”

Section: Introductionmentioning

confidence: 99%

Study of Heavy Quarkonium with Energy Dependent Potential

Gupta¹,

Mehrotra²

2012

JMP

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Heavy quark systems ( cc and bb ) have been studied in the nonrelativistic framework using energy dependent interquark potential of the form harmonic oscillator with a small linear term as energy dependent as perturbation plus a inverse square potential. This potential admits exact analytical solution of the Schrodinger equation. Mass spectra, leptonic decay width, root mean square radii   2 r , the expectation value of the radius   r and 1 r have been estimated for different quantum mechanical states for cc and bb systems. It is observed that energy dependent term in the potential leads to saturation of the mass spectra and degree of saturation is governed by the magnitude of perturbation. The calculated values of leptonic decay widths for 1s state are in very good agreement with the experimental data both for cc and bb systems.

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“…In the early eighties, and with the η c experimental state now known, this splitting became a benchmark for new model calculations [4,5,6,7] which now also predicted the corresponding splitting in bottomonium. The variation in these predictions is summarized in Table 1.…”

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confidence: 99%

Chiral symmetry and hyperfine $q\overline{q}$ splittings

et al. 2003

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Abstract. We briefly review theoretical calculations for the pseudoscalar-vector meson hyperfine splitting with no open flavor and also report a many body field theoretical effort to assess the impact of chiral symmetry in the choice of effective potentials for relativistic quark models. Our calculations predict the missing η b meson to have mass near 9400 M eV . The radial excitation ηc(2S) is in agreement with the measurements of the Belle and most recently Babar collaborations. Shortly after the discovery of the J/ψ it was understood that a rich spectroscopy of new mesons awaited classification. In this task the constituent quark model was a useful tool providing a simple periodic table where spectra and various radiative decays could be correlated with the help of a modest number of parameters. In this picture vector mesons are a qq pair, in an S or D wave, with spins parallel giving total angular momentum J = 1. Pseudoscalar mesons correspond to the J = 0 ground state with S-wave qq pairs spins antialigned. Ignoring the Dwave component, the only difference between both systems is the relative spin alignment. Any spectroscopic mass splitting can conveniently be incorporated in the quark model with a term, Aσ 1 · σ 2 that is reminiscent of the electron-nucleus spin-spin coupling, hence the name "hyperfine". This was immediately noted by Appelquist et al. [1] who predicted a charmonium splitting, ∆M (J/ψ − η c ), of about 65 M eV . They extracted the amplitude A by estimating the J/ψ electron-positron width, Γ e − e + , to be 4 keV . Using the currently accepted value of 5.3 keV , the splitting would be about 84 M eV , or about a factor of 2 smaller than the accepted experimental value of 3097 − 2980 ≃ 120 M eV . The need for a confining potential [2] was soon understood and calculations (by Appelquist and Politzer, and independently Schnitzer [3]) including a confining strength yielded a larger splitting (40 − 80 M eV ) than purely Coulombic potentials (15 − 20 M eV ). PACS.In retrospective we see that many of the early models utilized scalar confining potentials, which provided a good a On leave at University of Tuebingen, Inst. fuer Theoretische Physik, auf der Morgenstelle 14, D-72076 Tuebingen, Germany.spin-orbit coupling and radial excitations, but underestimated the hyperfine splittings. In the early eighties, and with the η c experimental state now known, this splitting became a benchmark for new model calculations [4,5,6,7] which now also predicted the corresponding splitting in bottomonium. The variation in these predictions is summarized in Table 1. Subsequently, further progress was achieved through improved, renormalized non-relativistic perturbative QCD calculations (NRPQCD) [8,9] which described bottomonium as a non-relativistic system. However, the calculated radii of most bb states are too large indicating that a Coulombic description, where the relativistic splittings scale linearly with the quark mass, is not reliable and that strong interactions still induce important corrections at this s...

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Heavy-quarkonium systems and the QCD scale parameterΛMS¯

Cited by 54 publications

References 25 publications

SPECTROSCOPY OF B_c MESON IN A SEMI-RELATIVISTIC QUARK MODEL USING THE SHIFTED LARGE-N EXPANSION METHOD

SPECTROSCOPY OF B_c MESON IN A SEMI-RELATIVISTIC QUARK MODEL USING THE SHIFTED LARGE-N EXPANSION METHOD

Study of Heavy Quarkonium with Energy Dependent Potential

Chiral symmetry and hyperfine $q\overline{q}$ splittings

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Heavy-quarkonium systems and the QCD scale parameterΛMS¯

Cited by 54 publications

References 25 publications

SPECTROSCOPY OF Bc MESON IN A SEMI-RELATIVISTIC QUARK MODEL USING THE SHIFTED LARGE-N EXPANSION METHOD

SPECTROSCOPY OF Bc MESON IN A SEMI-RELATIVISTIC QUARK MODEL USING THE SHIFTED LARGE-N EXPANSION METHOD

Study of Heavy Quarkonium with Energy Dependent Potential

Chiral symmetry and hyperfine $q\overline{q}$ splittings

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Product

Resources

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SPECTROSCOPY OF B_c MESON IN A SEMI-RELATIVISTIC QUARK MODEL USING THE SHIFTED LARGE-N EXPANSION METHOD

SPECTROSCOPY OF B_c MESON IN A SEMI-RELATIVISTIC QUARK MODEL USING THE SHIFTED LARGE-N EXPANSION METHOD