The pole heavy-quark masses in the Hamiltonian approach

Бадалян, А. М.; Баккер, Б. Л. Г.; Veselov, A.I.

doi:10.1134/1.1777292

Cited by 19 publications

(32 citation statements)

References 45 publications

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“…This result is also consistent with Dyson-Schwinger equation studies of the physical gluon propagator [28,29]. The relationship of these results to the infrared-finite coupling for the vector interaction defined in the quarkonium potential has recently been discussed by Badalian and Veselov [37].…”

Section: The Infrared Behavior Of Effective Qcd Couplingssupporting

confidence: 86%

Conformal Symmetry as a Template for QCD

Brodsky¹

2004

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Conformal symmetry is broken in physical QCD; nevertheless, one can use conformal symmetry as a template, systematically correcting for its nonzero β function as well as higher-twist effects. For example, commensurate scale relations which relate QCD observables to each other, such as the generalized Crewther relation, have no renormalization scale or scheme ambiguity and retain a convergent perturbative structure which reflects the underlying conformal symmetry of the classical theory. The "conformal correspondence principle" also dictates the form of the expansion basis for hadronic distribution amplitudes. The AdS/CFT correspondence connecting superstring theory to superconformal gauge theory has important implications for hadron phenomenology in the conformal limit, including an all-orders demonstration of counting rules for hard exclusive processes as well as determining essential aspects of hadronic light-front wavefunctions. Theoretical and phenomenological evidence is now accumulating that QCD couplings based on physical observables such as τ decay become constant at small virtuality; i.e., effective charges develop an infrared fixed point in contradiction to the usual assumption of singular growth in the infrared. The near-constant behavior of effective couplings also suggests that QCD can be approximated as a conformal theory even at relatively small momentum transfer. The importance of using an analytic effective charge such as the pinch scheme for unifying the electroweak and strong couplings and forces is also emphasized.

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Section: The Infrared Behavior Of Effective Qcd Couplingssupporting

confidence: 86%

Conformal Symmetry as a Template for QCD

Brodsky¹

2004

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“…For the potential taken from [15], 3. To demonstrate the sensitivity of the leptonic widths to the behavior of the confining potential at large distances we consider the "modified" potential, 10) where the flattening effect is taken into account and the string tension σ(r) is taken as for light mesons [6] while the vector coupling α B (r) is the same as in the potential Eq.…”

Section: Tionmentioning

confidence: 99%

“…For this simple asymptotic potential V asym (large r) = rσ(r) the constituent masses ω n (QQ) and σ(r) nS can be calculated easily from the solutions of the spinless Salpeter equation [15]. For the Υ(6S) and Υ(7S), using (σ 0 = 0.…”

Section: Leptonic Widths Of Highly Excited Resonancesmentioning

confidence: 99%

Leptonic widths of high excitations in heavy quarkonia

Бадалян¹,

Veselov²,

Баккер³

2005

J. Phys. G: Nucl. Part. Phys.

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Agreement with the measured electronic widths of the ψ(4040), ψ(4415), and Υ(11019) resonances is shown to be reached if two effects are taken into account: a flattening of the confining potential at large distances and a total screening of the gluon-exchange interaction at r > ∼ 1.2 fm.The leptonic widths of the unobserved Υ(7S) and ψ(5S) resonances: Γ e + e − (Υ(7S)) = 0.11 keV and Γ(ψ(5S)) ≈ 0.54 keV are predicted.

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“…One must also take into account the NP self-energy correction to the quark masses [17], however, in bottomonium the NP self-energy contribution to H R appears to be compatible with zero (∼ 3 MeV) and can be neglected [18]. For the linear potential the splitting ∆ 1 between the orbital excitations 1D and 1P turns out to be ∼ 160 ÷ 170 MeV, i.e., much smaller then the experimental value (1.1).…”

Section: Hamiltonian For Spinless Quark and Antiquarkmentioning

confidence: 99%

Restriction on the strong coupling constant in the IR region from the 1D-1P splitting in bottomonium

Бадалян

Veselov²,

Баккер³

2004

Phys. Rev. D

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The bb spectrum is calculated with the use of a relativistic Hamiltonian where the gluon-exchange potential between a quark and an antiquark is taken as in background perturbation theory. We observed that the splittings ∆ 1 = Υ(1D) − χ b (1P) and other splittings between low-lying states are very sensitive to the QCD constant Λ V (n f ) which occurs in the Vector scheme, and good agreement with the experimental data is obtained for Λ V (2-loop, n f = 5) = 325 ± 10 MeV which corresponds to the conventional Λ MS (2−loop, n f = 5) = 238 ± 7 MeV, α s (2−loop, M Z ) = 0.1189 ± 0.0005, and to a large freezing value of the background coupling: α crit (2-loop, q 2 = 0) = α crit (2-loop, r → ∞) = 0.58 ± 0.02. If the asymptotic freedom behavior of the coupling is neglected and an effective freezing coupling α static = const is introduced, as in the Cornell potential, then precise agreement with ∆ 1 (exp) and ∆ 2 (exp) can be reached for the rather large Coulomb constant α static = 0.43 ± 0.02. We predict a value for the mass M (2D) = 10451 ± 2 MeV.

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The pole heavy-quark masses in the Hamiltonian approach

Abstract: From the fact that the nonperturbative self-energy contribution CSE to the heavy meson mass is small: CSE(bb) = 0; CSE(cc) ∼ = −40 MeV

Cited by 19 publications

References 45 publications

Conformal Symmetry as a Template for QCD

Conformal Symmetry as a Template for QCD

Leptonic widths of high excitations in heavy quarkonia

Restriction on the strong coupling constant in the IR region from the 1D-1P splitting in bottomonium

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