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Mesons with Beauty and Charm: Spectroscopy
High Energy Physics - Phenomenology · Submitted 2 Feb 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Applying knowledge of the interaction between heavy quarks derived from the study of $c\overline{c}$ and $b\overline{b}$ bound states, we calculate the spectrum of $c\overline{b}$ mesons.
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Applying knowledge of the interaction between heavy quarks derived from the study of $c\overline{c}$ and $b\overline{b}$ bound states, we calculate the spectrum of $c\overline{b}$ mesons. We compute transition rates for the electromagnetic and hadronic cascades that lead from excited states to the $^1\text{S}_0$ ground state, and briefly consider the prospects for experimental observation of the spectrum.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Applying knowledge of the interaction between heavy quarks derived from the study of $c\overline{c}$ and $b\overline{b}$ bound states, we calculate the spectrum of $c\overline{b}$ mesons. | contribution 0.89 | 0.90 | 0.22 | asserted 0.99 |
| s1 | We compute transition rates for the electromagnetic and hadronic cascades that lead from excited states to the $^1\text{S}_0$ ground state, and briefly consider the prospects for experimental observation of the spectrum. | contribution 0.73 | 0.95 | 0.17 | asserted 0.95 |
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The paper
Original abstract
Applying knowledge of the interaction between heavy quarks derived from the study of $c\overline{c}$ and $b\overline{b}$ bound states, we calculate the spectrum of $c\overline{b}$ mesons. We compute transition rates for the electromagnetic and hadronic cascades that lead from excited states to the $^1\text{S}_0$ ground state, and briefly consider the prospects for experimental observation of the spectrum.
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References
How later papers used it
57 later papers cite it
4 later papers by other authors are listed below: 2 used its data or values and 2 compared their own results with it. 1 more paper by the same authors is listed: 1 used its method or tool.
Uses its method or tool 1 paper · 1 by the same authors
By the same authors
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Evaluated hadronic transition rates between (cb) levels according to the prescription detailed in section IIIB of this paper.
Mesons with Beauty and Charm: New Horizons in Spectroscopy (2019) (same authors) · 0.99 · paraphrased: the licence does not allow quoting
Uses its data or values 2 of 14 papers with this label
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Took the masses of B_c mesons it cites from this paper.
Bottomed Analog of Z+(4433) (2007) · 0.99 · paraphrased: the licence does not allow quoting
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Estimated the radial wave function at the origin for B_c using this paper's Buchmueller-Tye potential model.
Pseudoscalar heavy quarkonium production in heavy ion ultraperipheral collision (2024) · 0.85 · paraphrased: the licence does not allow quoting
Compares with it 2 of 11 papers with this label
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Found its own results compatible with this paper's and another work's.
Bottomonium Spectrum with Screened Potential (2009) · 0.99 · paraphrased: the licence does not allow quoting
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Compared its own results with other model predictions and found its own of the same order of magnitude as those collected in this paper.
Towards the discovery of novel $B_c$ states: radiative and hadronic transitions (2022) · 1.00 · paraphrased: the licence does not allow quoting
How the literature uses it
45 arXiv papers cite this in 94 sentences
Papers citing it · 43 sentences without a confident label
Uses its method or tool 1 paper
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We evaluate the rates for hadronic transitions between $(cb̅)$ levels according to the prescription we detailed in IIIB of Ref. [ref] .
Mesons with Beauty and Charm: New Horizons in Spectroscopy · Hadronic transitions · 0.99
Uses its data or values 12 papers
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As a matter of fact, using standard phenomenological values [ref] $σ=(427.4 MeV)^2$ and $χ=0.52$, a slightly modified quark mass $m_b=5215$ MeV to get the same $β=855$ MeV for charmonium and bottomonium, and $√(2)Δ_b = 51 MeV ≈Δ_$ from [ref] , a nice (diabatic) description of the spectrum and properties of bottomoniumlike mesons comes out [ref] (we have checked that the slight difference in the value of $Δ_b$ used in [ref] with respect to $√(2)Δ_b=51$ MeV gives rise to spectral mass differences of $2$ MeV at most).
Is $\chi_{c1}(3872)$ generated from string breaking? · Introduction · 0.82
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The LDMEs $⟨𝒪^B_c[n]⟩$ are related to the wave function at the origin, e.g., $⟨𝒪^B_c[n]⟩≈N_c|R_S(0)|^2/(2π)$, with $|R_1S(0)|^2=1.642 GeV^3$ and $|R_2S(0)|^2=0.983 GeV^3$ [ref] .
Photoproduction of the $B_c$ meson at the future $e^+e^-$ colliders · Numerical results and discussions · 1.00
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The masses of $B_c$ mesons cited below are taken from Ref. [ref] .
Bottomed Analog of Z+(4433) · Mass Estimation · 0.99
Compares with it 8 papers
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We summarize in Table [ref] predictions for the spectrum of mesons with beauty and charm from our 1994 article [ref] , lattice QCD calculations, and the present work, expressed as excitations with respect to the $1S$ centroid.
Mesons with Beauty and Charm: New Horizons in Spectroscopy · The $B_c$ Spectrum · 0.91
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We can see that our results fit the experimental values quite well and are compatible with Ref. [ref] and Ref. [ref] .
Bottomonium Spectrum with Screened Potential · Hyperfine and Fine Splittings · 0.99
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Among the predictions for the 1S splitting from models which pre-date the discovery of the $1$ there are, in decreasing order of splitting: several which are larger than any of the measured values [ref] ; one [ref] consistent with PDG12; two [ref] consistent with the smaller PDG12* and Dobbs . values; several [ref] consistent with the even smaller value of Belle; and quite a few [ref] which are smaller than any of the measured values.
Hyperfine splitting and the experimental candidates for \eta_b(2S) · Potential Models and related · 0.93
Cites it as support 1 paper
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The $$ state is searched for by scanning the mass region , which is motivated by theoretical predictions [ref] .
Search for excited $B_c^+$ states · Upper limits · 0.97
Cites it as background 15 papers
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Eichten and Quigg [ref] calculated the radiative M1 transition rates for the allowed and hindered transitions.
$c\bar{b}$ spectrum and decay properties with coupled channel effects · Radiative Decays · 0.89
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Many phenomenological researches on $η_b$ have been done by some groups [ref] .
Study on the radiative decays of $\Upsilon(nS)\to \eta_b+\gamma$ · introduction · 1.00
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Spectroscopic parameters (such as mass and decay constant) of $B_c$ mesons are studied with using various models such as relativistic quark potential model [ref] , nonrelativistic quark model [ref] , covariant light-front quark model [ref] , shifted large-N expansion [ref] , perturbative QCD [ref] , nonrelativistic renormalization group [ref] , lattice QCD [ref] , QCD sum rules (QCDSR) [ref] , light-cone QCDSR [ref] , heavy quark effective theory [ref] , Bethe-Salpeter equation [ref] and field correlator method [ref] .
Bottom-charmed meson states in inverse problem of QCD · Motivation · 0.97
Discussion
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