High Energy Physics - Lattice · arXiv:hep-lat/0210030 v2 · submitted 17 Oct 2002
Excited charmonium spectrum from anisotropic lattices
The paper says
“A detailed excited charmonium spectrum is obtained, including both the exotic hybrids (with JPC = 1− +,0+ −,2+ −) and orbitally excited mesons (with orbital angular momentum up to 3).”
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Abstract
We present our final results for the excited charmonium spectrum from a quenched calculation using a fully relativistic anisotropic lattice QCD action. A detailed excited charmonium spectrum is obtained, including both the exotic hybrids (with JPC = 1− +,0+ −,2+ −) and orbitally excited mesons (with orbital angular momentum up to 3). Using three different lattice spacings (0.197, 0.131, and 0.092 fm), we perform a continuum extrapolation of the spectrum. We convert our results in lattice units to physical values using lattice scales set by the 1P1−1S splitting. The lowest lying exotic hybrid 1− + lies at 4.428(41) GeV, slightly above the D**D (S+P wave) threshold of 4.287 GeV. Another two exotic hybrids 0+ − and 2+ − are determined to be 4.70(17) GeV and 4.895(88) GeV, respectively. Our finite volume analysis confirms that our lattices are large enough to accommodate all the excited states reported here.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.36 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.14 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We present our final results for the excited charmonium spectrum from a quenched calculation using a fully relativistic anisotropic lattice QCD action. | contribution 0.99 | 0.97 | 0.15 | asserted 0.99 |
| A detailed excited charmonium spectrum is obtained, including both the exotic hybrids (with $J^{PC} = 1^{-+}, 0^{+-}, 2^{+-}$) and orbitally excited mesons (with orbital angular momentum up to 3). | result 0.72 | 0.94 | 0.23 | asserted 1.00 |
| Using three different lattice spacings (0.197, 0.131, and 0.092 fm), we perform a continuum extrapolation of the spectrum. | method 1.00 | 0.96 | 0.04 | asserted 1.00 |
| We convert our results in lattice units to physical values using lattice scales set by the $^1P_1-1S$ splitting. | method 1.00 | 0.95 | 0.04 | asserted 1.00 |
| The lowest lying exotic hybrid $1^{-+}$ lies at 4.428(41) GeV, slightly above the $D^{**}D$ (S+P wave) threshold of 4.287 GeV. | result 1.00 | 0.95 | 0.25 | asserted 1.00 |
| Another two exotic hybrids $0^{+-}$ and $2^{+-}$ are determined to be 4.70(17) GeV and 4.895(88) GeV, respectively. | result 1.00 | 0.97 | 0.12 | asserted 1.00 |
| Our finite volume analysis confirms that our lattices are large enough to accommodate all the excited states reported here. | result 0.64 | 0.96 | 0.06 | asserted 1.00 |
What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,776 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 17 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- D Pi scattering and D meson resonances from lattice QCD hep-lat · Aug 2012
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- Evidence for a Narrow Near-Threshold Structure in the $J/\psi\phi$ Mass Spectrum in $B^+\to J/\psi\phi K^+$ Decays hep-ex · Mar 2009
- Radiative Transitions in Charmonium from Lattice QCD hep-ph · Jan 2006
- Observation of a near-threshold omega-J/psi mass enhancement in exclusive B-->K omega J/psi decays hep-ex · Aug 2004
- Heavy Quarkonium Hybrids: Spectrum, Decay and Mixing hep-ph · Feb 2017
- Charmonium spectroscopy and mixing with light quark and open charm states from nF=2 lattice QCD hep-lat · Oct 2011
- D and D_s meson spectroscopy hep-lat · Mar 2011
- Charmonium excited state spectrum in lattice QCD hep-lat · Jul 2007
- Higher Charmonia hep-ph · Apr 2005
- Charmonium Options for the X(3872) hep-ph · Nov 2003
- Observation of the $Y(4140)$ structure in the $J/\psi\,\phi$ Mass Spectrum in $B^\pm\to J/\psi\,\phi K$ cays hep-ex · Jan 2011
- Meson and baryon spectrum for QCD with two light dynamical quarks hep-lat · May 2010
- The New Heavy Mesons: A Status Report hep-ph · Jan 2006
- The Possible Interpretations of Y(4260) hep-ph · Jul 2005
- Y(4140): Possible options hep-ph · Mar 2009
- Quarkonia and their transitions hep-ph · Jan 2007
How the literature uses it
22 arXiv papers cite this in 27 sentences
Papers citing it · 11 sentences without a confident label
Uses its method or tool 7 papers
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In this work, we use the derivative-based operators [ref] which are constructed by using spatially-directed gauge-invariant derivatives within a fermion bilinear.
Charmonium spectroscopy from an anisotropic lattice study · Construction of interpolating operators · 0.98
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Manke [ref] which have been already used for calculating excited charmonium states [ref] .
Low and high spin mesons from $N_f=2$ Clover-Wilson lattices · High spin · 0.93
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We opt for a basis built from interpolators with derivatives and use interpolating operators similar to those suggested by Liao and Manke [ref] , which have also been used by Dudek et al. [ref] .
Splittings of low-lying charmonium masses at the physical point · Calculation of observables · 1.00
Uses its data or values 1 paper
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Exotic charmonium states have been calculated using lattice QCD, and the $1^-+$ was found to be about 4.4 GeV [ref] , with the expectation that the $1^–$ hybrid charmonium state is at a similar energy.
Hybrid Charmonium and the $\rho-\pi$ Puzzle · Previous Results for Hybrids Using QCD Sum Rules and Lattice QCD Methods · 0.90
Compares with it 1 paper
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For comparison, we also list the current data assignments [ref] and some other theoretical results [ref] .
Modified Pad\'e Approach to the S-Wave Charmonium Spectroscopy in QCD · Numerical analysis and discussions · 0.99
Cites it as background 6 papers
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$QQ̅g$ hybrids, particularly the charmonium-like hybrids $cc̅g$, have also been extensively investigated in lattice QCD [ref] .
Color halo scenario of charmonium-like hybrids · Introduction · 0.90
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Lattice QCD is an ab initio non-perturbative approach for the study of strong interaction in the low energy scale, and is applied extensively to the investigation of hybrids [ref] .
Strangeonium-like hybrids on the lattice · Introduction · 0.92
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The possible interpretations beyond $qq̅$ such as hybrid ($qq̅g$) and four-quark states ($qq̅qq̅$) have revitalized interest in exotic mesons in the charm sector [ref] .
Observation of the $Y(4140)$ structure in the $J/\psi\,\phi$ Mass Spectrum in $B^\pm\to J/\psi\,\phi K$ cays · Introduction · 0.88
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