Comparing the Schrödinger and spinless Salpeter equations for heavy-quark bound states

Jacobs, Steve; Olsson, M. G.; Suchyta, Casimir J.

doi:10.1103/physrevd.33.3338

Cited by 159 publications

(138 citation statements)

References 24 publications

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“…We found a trial wave function introduced by Jacobs, Olsson, and Suchyta [12] particularly suitable for obtaining the quarkonium energy levels and wave functions.…”

Section: CC Spectrummentioning

confidence: 99%

Heavy quarkonium potential model and theP11state of charmonium

et al. 1994

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A theoretical explanation of the observed splittings among the P states of charmonium is given with the use of a nonsingular potential model for heavy quarkonia. We also show that the recently observed mass difference between the center of gravity of the 3 P J states and the 1 P 1 state of cc does not provide a direct test of the color hyperfine interaction in heavy quarkonia. Our theoretical value for the mass of the 1 P 1 state is in agreement with the experimental result, and its E1 transition width is 341.8 keV. The mass of the η ′ c state is predicted to be 3622.3 MeV.

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“…We found a trial wave function introduced by Jacobs, Olsson, and Suchyta [12] particularly suitable for obtaining the quarkonium energy levels and wave functions.…”

Section: CC Spectrummentioning

confidence: 99%

Heavy quarkonium potential model and theP11state of charmonium

et al. 1994

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“…The large quark mass allows spectroscopy based on non-relativistic potential theory [2]. Hence the Schrödinger equation…”

Section: In -Medium Behaviour Of Quarkonia: Theorymentioning

confidence: 99%

Quarkonium Binding and Dissociation: The Spectral Analysis of the QGP

Satz

2007

Nuclear Physics A

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Abstract:In statistical QCD, the thermal properties of the quark-gluon plasma can be determined by studying the in-medium behaviour of heavy quark bound states. The results can be applied to quarkonium production in high energy nuclear collisions, if these indeed form a fully equilibrated QGP. Modifications could arise if an initial charm excess persists in the collision evolution and causes quarkonium regeneration at hadronization.

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“…It is reasonable to expect that the temperatures at which these radii equal r med provides a first estimate for the onset of thermal effects in quarkonium states. Of course, as the wave functions of the various quarkonium states do also reach out to larger distances [20] this can only be taken as a first indication for the relevant temperatures. The analysis of bound states using, for instance, the Schrödinger equation will do better in this respect.…”

Section: Introductionmentioning

confidence: 99%

Deconfinement and quarkonium suppression

Karsch

2005

Eur. Phys. J. C

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Abstract. Modifications in the production pattern of heavy quark bound states have long been considered to provide sensitive signatures for the thermal properties of dense matter created in heavy ion collisions. The original concept of Matsui and Satz for quarkonium suppression as signature for deconfinement in heavy ion collisions has been challenged recently through lattice studies of spectral functions, which indicate the persistence of heavy quark bound states at temperatures well above the transition, as well as through the refined analysis of hadronization and recombination models, which take into account the thermal evolution of the medium generated in a heavy ion collision. We will review here recent developments on these topics.

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Comparing the Schrödinger and spinless Salpeter equations for heavy-quark bound states

Cited by 159 publications

References 24 publications

Heavy quarkonium potential model and theP11state of charmonium

Heavy quarkonium potential model and theP11state of charmonium

Quarkonium Binding and Dissociation: The Spectral Analysis of the QGP

Deconfinement and quarkonium suppression

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