Heavy quarkonia: Wilson area law, stochastic vacuum model, and dual QCD

Brambilla, Nora; Vairo, Antonio

doi:10.1103/physrevd.55.3974

Cited by 58 publications

(81 citation statements)

References 47 publications

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“…Most of the 19.9 MeV deviation in the charmonium case arises from a 25 MeV discrepancy in the center-ofgravity of the 1P state. Much of this difference could probably be removed by a proper account of the spin-independent relativistic corrections [32].…”

Section: Richardson's Potential and The Spin-dependent Potentialsmentioning

confidence: 99%

Phenomenological predictions of the properties of theBcsystem

Fulcher

1999

Phys. Rev. D

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We present a comprehensive calculation of the energies, splittings and electromagnetic decays of the low-lying levels of the bottom charmed meson system. In order to incorporate running coupling constant effects, we choose Richardson's potential for the central potential and take the spin-dependent potentials from the radiative one-loop calculation of Pantaleone, Tye and Ng. The effects of a nonperturbative spin-orbit potential are also included. Our parameters are determined from the low-lying levels of charmonium (avg. dev. of 19.9 MeV) and of the upsilon system (avg. dev. of 4.3 MeV). We carry out a detailed comparison with the calculations of Eichten and Quigg and the lattice calculations of the NRQCD collaboration. Our predicted result for the ground state energy is 6286 +15 −6 MeV. Our results are generally in agreement with the earlier calculations. However, we find the two lowest 1 + states to be very close to the j-j limit, in contrast to some of the earlier calculations. The implications of this finding for the photon spectra of the 1P and 2S states are discussed in detail. Some strategies for the observation of these states are discussed, and a table of their cascades to the ground state is presented. Our calculated value for the ground state lifetime is 0.38 ± 0.03 ps, in good agreement with the recent CDF measurement.

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Section: Richardson's Potential and The Spin-dependent Potentialsmentioning

confidence: 99%

Phenomenological predictions of the properties of theBcsystem

Fulcher

1999

Phys. Rev. D

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“…The correct description of the fine structure of the heavy quarkonium mass spectrum requires the vanishing of the vector confinement contribution. This can be achieved by setting 1 + κ = 0, i.e., the total long-range quark chromomagnetic moment equals zero, which is in accord with the flux tube [19] and minimal area [16,20] models. One can see from Eq.…”

Section: Heavy Quarkonium and B C Meson Mass Spectramentioning

confidence: 99%

Properties of heavy quarkonia andBcmesons in the relativistic quark model

2003

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The mass spectra and electromagnetic decay rates of charmonium, bottomonium and B c mesons are comprehensively investigated in the relativistic quark model. The presence of only heavy quarks allows the expansion in powers of their velocities. All relativistic corrections of order v 2 /c 2 , including retardation effects and one-loop radiative corrections, are systematically taken into account in the computations of the mass spectra. The obtained wave functions are used for the calculation of radiative magnetic dipole (M1) and electric dipole (E1) transitions. It is found that relativistic effects play a substantial role. Their account and the proper choice of the Lorentz structure of the quark-antiquark interaction in a meson is crucial for bringing theoretical predictions in accord with experimental data. A detailed comparison of the calculated decay rates and branching fractions with available experimental data for radiative decays of charmonium and bottomonium is presented. The possibilities to observe the currently missing spin-singlet S and P states as well as D states in bottomonium are discussed. The results for B c masses and decays are compared with other quark model predictions.

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“…The model parameters can be also connected with the usual Coulomb plus linear potential [20,21,22] V (r) = − 4 α 3 r + b r + c…”

Section: Resultsmentioning

confidence: 99%

“…All parameters are correlated and compared with the nonrelativistic choices [20,21,22] The quark masses,were treated as fitting parameters in a limited sense. Suitable values, allowed within the experimental uncertainty in current quark masses [1], were selected.…”

Section: Introductionmentioning

confidence: 99%