Charmonium in lattice QCD and the nonrelativistic quark model

Dudek, Jozef J.; Rrapaj, Ermal

doi:10.1103/physrevd.78.094504

Cited by 43 publications

(61 citation statements)

References 18 publications

(35 reference statements)

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“…Detailed model-dependent interpretation of the spectrum, comparing the overlap values with the expectations of a bound-state quark model (analogous to that done for charmonium in [41]) and considering the degree of mixing of non-exotic hybrids and quark model states will follow in a subsequent publication. 3 (solid) and 20 3 (dashed) spectra agree well.…”

Section: A Mπ ∼ 700 Mev Results (743 )mentioning

confidence: 99%

Toward the excited meson spectrum of dynamical QCD

et al. 2010

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We present a detailed description of the extraction of the highly excited isovector meson spectrum on dynamical anisotropic lattices using a new quark-field construction algorithm and a large variational basis of operators. With careful operator construction, the combination of these techniques is used to identify the continuum spin of extracted states reliably, overcoming the reduced rotational symmetry of the cubic lattice. Excited states, states with exotic quantum numbers (0 +− , 1 −+ and 2 +− ) and states of high spin are resolved, including, for the first time in a lattice QCD calculation, spin-four states. The determinations of the spectrum of isovector mesons and kaons are performed on dynamical lattices with two volumes and with pion masses down to ∼ 400 MeV, with statistical precision typically at or below 1% even for highly excited states.

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Section: A Mπ ∼ 700 Mev Results (743 )mentioning

confidence: 99%

Toward the excited meson spectrum of dynamical QCD

et al. 2010

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“…We believe that this study is seeing a full spectrum of QCD mesons which includes exotic and nonexotic hybrid mesons [8].…”

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confidence: 86%

Highly Excited and Exotic Meson Spectrum from Dynamical Lattice QCD

et al. 2009

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Using a new quark-field construction algorithm and a large variational basis of operators, we extract a highly excited isovector meson spectrum on dynamical anisotropic lattices. We show how carefully constructed operators can be used to reliably identify the continuum spin of extracted states, overcoming the reduced cubic symmetry of the lattice. Introduction.-The spectroscopy of excited meson states is enjoying a renaissance through the observations of multiple new states in the charmonium sector. This will continue through the forthcoming experimental efforts at GlueX, BES III, and PANDA that will probe the spectroscopy of mesons in both the light and charm sectors. New states demand explanation within QCD and may offer insight into the appropriate degrees-of-freedom of low energy QCD. A particular example is mesons of exotic J PC , those states whose quantum numbers cannot be constructed from a quark-antiquark bound state, and whose existence may signal the influence of explicit gluonic degrees of freedom.Lattice QCD provides an ab initio method for the determination of the hadron spectrum. This approach to spectroscopy necessitates methods for measuring the two-point correlation functions of field operators with the selected quantum numbers under investigation. However, it has proven difficult to extract precise information from lattice QCD about excited states, states of high spin, and states with exotic J PC . In this letter we will present results using a large basis of composite QCD operators and a variational analysis method which show that such extractions are now possible.Access to states of spin-two or higher requires operators with spatially separated quark fields. To facilitate this kind of construction, a new quark-field construction algorithm, called ''distillation'', was developed [1] recently which enables efficient calculations of a broad range of hadron correlation functions, including those with spatially separated quark fields.In Euclidean space, excited-state contributions to correlation functions decay faster than the ground-state and at large times are swamped by the larger signals of lower states. In improving our ability to extract excited states, better temporal resolution of correlation functions proves

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“…Such anisotropic configurations have been employed to calculate electromagnetic transition rates from excited charmonium states, high-spin states, and exotics [71,197,198] with small volumes. The lattice spacing and sea quark mass dependencies will be investigated in the near future.…”

Section: Relativistic Heavy Quark Actionsmentioning

confidence: 99%

Heavy quarkonium: progress, puzzles, and opportunities

Brambilla¹,

Eidelman²,

Heltsley³

et al. 2011

Advances in the Physics of Particles and Nuclei

103

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A golden age for heavy quarkonium physics dawned a decade ago, initiated by the confluence of exciting advances in quantum chromodynamics (QCD) and an explosion of related experimental activity. The early years of this period were chronicled in the Quarkonium Working Group (QWG) CERN Yellow Report (YR) in 2004, which presented a comprehensive review of the status of the field at that time and provided specific recommendations for further progress. However, the broad spectrum of subsequent breakthroughs, surprises, and continuing puzzles could only be partially anticipated. Since the release of the YR, the BESII program concluded only to give birth to BESIII; the B-factories and CLEO-c flourished; quarkonium production and polarization measurements at HERA and the Tevatron matured; and heavy-ion collisions at RHIC have opened a window on the deconfinement regime. All these experiments leave legacies of quality, precision, and unsolved mysteries for quarkonium physics, and therefore beg for continuing investigations at BESIII, the LHC, RHIC, FAIR, the Super Flavor and/or Tau-Charm factories, JLab, the ILC, and beyond. The list of newly-found conventional states expanded to include hc(1P ), χc2(2P ), B + c , and η b (1S). In addition, the unexpected and still-fascinating X(3872) has been joined by * Editors † Section coordinators ‡ Corresponding author: bkh2@cornell.edu more than a dozen other charmonium-and bottomonium-like "XY Z" states that appear to lie outside the quark model. Many of these still need experimental confirmation. The plethora of new states unleashed a flood of theoretical investigations into new forms of matter such as quark-gluon hybrids, mesonic molecules, and tetraquarks. Measurements of the spectroscopy, decays, production, and in-medium behavior of cc, bb, and bc bound states have been shown to validate some theoretical approaches to QCD and highlight lack of quantitative success for others. Lattice QCD has grown from a tool with computational possibilities to an industrialstrength effort now dependent more on insight and innovation than pure computational power. New effective field theories for the description of quarkonium in different regimes have been developed and brought to a high degree of sophistication, thus enabling precise and solid theoretical predictions. Many expected decays and transitions have either been measured with precision or for the first time, but the confusing patterns of decays, both above and below open-flavor thresholds, endure and have deepened. The intriguing details of quarkonium suppression in heavy-ion collisions that have emerged from RHIC have elevated the importance of separating hotand cold-nuclear-matter effects in quark-gluon plasma studies. This review systematically addresses all these matters and concludes by prioritizing directions for ongoing and future efforts.

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Charmonium in lattice QCD and the nonrelativistic quark model

Cited by 43 publications

References 18 publications

Toward the excited meson spectrum of dynamical QCD

Toward the excited meson spectrum of dynamical QCD

Highly Excited and Exotic Meson Spectrum from Dynamical Lattice QCD

Heavy quarkonium: progress, puzzles, and opportunities

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