Quark-antiquark potential with retardation and radiative contributions and the heavy quarkonium mass spectra

Эберт, Д.; Фаустов, Р. Н.; Galkin, V. O.

doi:10.1103/physrevd.62.034014

Cited by 50 publications

(19 citation statements)

References 45 publications

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“…[23]. If defined an additional r-independent adjustable parameter in the vector linear confinement, the value of mixing coefficient should be −1 for some decay considerations [20]. In addition, the scalar-vector mixing model requires less linear potential slope, but more splitting scale from spin-spin interaction.…”

Section: Mass Spectrummentioning

confidence: 99%

“…confinement [19]. Another possibility [9,20] is that confinement may be a more complicated mixture of scalar and timelike vector, while the vector potential is anticonfinning. In pure cc models, the Lorentz nature of confinement is tested by the multiplet splitting of orbitally excited charmonium states.…”

mentioning

confidence: 99%

“…In addition, numerical precision of the calculation method is important in testing different models. As several numerical methods fail in the potentials with 1/r 2 and even higher negative power, the O(v 2 /c 2 ) corrections to the quark-antiquark potential has to be usually treated as perturbation [21,22,20]. However, the accuracy of perturbation expansion has been alerted recently [23], which indicates the most significant effect of the different treatments is on the wave functions.…”

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confidence: 99%

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Charmonium States in QCD-Inspired Quark Potential Model Using Gaussian Expansion Method

2012

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We study the mass spectrum and electromagnetic processes of charmonium system with the spin-dependent potentials fully taking into account in the solution of the Schroedinger equation and the results for the pure scalar and scalar-vector mixing linear confining potentials are compared. It is revealed that the scalar-vector mixing confinement is important for reproducing the mass spectrum and decay widths and the vector component is found to be around 22%, the long-standing discrepancy in M1 radiative transitions of J/ψ and ψ ′ is alleviated by means of the state wave functions obtained via the Hamiltonian with the full spin-dependent potential. This work also intends to identify few of the copious higher charmonium-like states as the cc ones. Particularly, the newly observed X(4160) and X(4350) are assigned as M (2 1 D 2 ) = 4164.9 MeV and M (3 3 P 2 ) = 4352.4 MeV, which strongly favor the J P C = 2 −+ , 2 ++ assignments respectively. The corresponding radiative transitions, leptonic and two-photon decay widths have been also calculated for the further experimental study.Keywords charmonium · potential model · Gaussian expansion method · XYZ mesons 1 IntroductionDue to the impressive increase of experimental results, charmonium (cc) spectroscopy has renewed great interest recently, coming along with the striking disagreement with theoretical expectations [1,2,3]. The unexpected and still-fascinating X(3872) has been joined by more than a dozen other charmonium-like states, while the series of vacancy have been left on the cc list. It is urgent to identify the possible new members of charmonium family from the abundant observations. The QCD inspired potential models have been playing an important role in investigating heavy quarkonium, owning to the presence of large nonperturbative effects in this energy region. Most quark potential models [4,5,6,7,8,9,10,11,12,13,14,15,16] have common ingredients under the nonrelativistic limit, despite some differences in the detailed corrections for relativistic and coupled channel effects, which typically are the Coulomb-like term induced by one-gluon exchange plus the long-range confining potential expected from nonperturbative QCD. Anyway, the nature of confining mechanism has been veiled so far. In the original Cornell model [17,18], it was assumed as Lorentz scalar, which gives a vanishing long-range magnetic contribution and agrees with the flux tube picture of quark

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Section: Mass Spectrummentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Charmonium States in QCD-Inspired Quark Potential Model Using Gaussian Expansion Method

2012

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“…(v) Analytical studies of the Bethe-Salpeter equation and comparison of the results with the charmonium spectrum data favor a non-vanishing linear correction to the potential at short distances [20,21].…”

Section: Qcd Phenomenologymentioning

confidence: 92%

“…Similar logic holds in case of the so called P-vortices as well. To detect the P-vortices one uses [8] the gauge maximizing the sum l |T r U l | 2 (21) where l runs over all the links on the lattice. The center projection is obtained by replacing…”

Section: Georgi-glashow Modelmentioning

confidence: 99%

Short Strings and New Physics Perspectives in QCD

Gubarev

Захаров

Chernodub

et al. 2000

Lattice Fermions and Structure of the Vacuum

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Within the (dual) Abelian Higgs model, confining strings do not disappear at small distances but rather become short strings. In compact 3D electrodynamics, as we argue here, the confining strings are also manifested at small distances in unusual power corrections, disobeying the standard rules of the Operator Product expansion. In the most interesting case of QCD, there is yet no derivation of short strings and we turn to phenomenology to find evidence pro or contra their existence. The short strings in QCD lead to non-standard power corrections. A tentative conclusion of the analysis of existing data, both in numerical simulations and in real experiments, is that the novel power corrections are present, at least at the mass scale of (1 ÷ 2) GeV.

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