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On the description of exotic hadron states within QCD sum rules
High Energy Physics - Phenomenology · Submitted 14 Nov 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Revisiting the QCD sum-rule description of exotic hadron states, we argue that, in order to arrive at trustable analyses of, for instance, strong decay widths of multiquarks, it is inevitable to adopt the QCD sum-rule approach beyond the leading perturbative level.
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Revisiting the QCD sum-rule description of exotic hadron states, we argue that, in order to arrive at trustable analyses of, for instance, strong decay widths of multiquarks, it is inevitable to adopt the QCD sum-rule approach beyond the leading perturbative level.
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| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Revisiting the QCD sum-rule description of exotic hadron states, we argue that, in order to arrive at trustable analyses of, for instance, strong decay widths of multiquarks, it is inevitable to adopt the QCD sum-rule approach beyond the leading perturbative level. | contribution 0.54 | 0.27 | 0.85 | asserted 1.00 |
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The paper
Original abstract
Revisiting the QCD sum-rule description of exotic hadron states, we argue that, in order to arrive at trustable analyses of, for instance, strong decay widths of multiquarks, it is inevitable to adopt the QCD sum-rule approach beyond the leading perturbative level.
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What it cites · 22 sentences without a confident label
Cites as support 6 papers
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Notwithstanding this, we are confident [ref] that the QCD sum-rule formalism enables us to derive exotic-hadron decay constants in a similar manner as in the case of ordinary hadrons [ref] .
Decay constants of heavy pseudoscalar mesons from QCD sum rules · Musings: prospects of elucidation of internal structure of exotic mesons · 0.98
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Notwithstanding this, we are confident [ref] that the QCD sum-rule formalism enables us to derive exotic-hadron decay constants in a similar manner as in the case of ordinary hadrons [ref] .
OPE, charm-quark mass, and decay constants of D and D_s mesons from QCD sum rules · Musings: prospects of elucidation of internal structure of exotic mesons · 0.98
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Notwithstanding this, we are confident [ref] that the QCD sum-rule formalism enables us to derive exotic-hadron decay constants in a similar manner as in the case of ordinary hadrons [ref] .
Accurate bottom-quark mass from Borel QCD sum rules for $f_B$ and $f_{B_s}$ · Musings: prospects of elucidation of internal structure of exotic mesons · 0.98
Cites as background 13 papers
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QCD sum rules [ref] are analytic relationships between observable properties of a given hadron $H$ and the basic parameters of the quantum field theory of the strong interactions, quantum chromodynamics.
QCD at Low Energies · QCD sum-rule formalism: the example of two-point correlation functions · 0.97
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The perturbative spectral density $ρ_pert(s,μ)$ vanishes below some “theoretical” threshold $s_th.$ For an interpolating current formed by a quark and an antiquark, of masses $m_1$ and $m_2,$ respectively, $s_th$ is given by $s_th=(m_1+m_2)^2.$ Therefore, referring by $Π_NP(τ,μ)$ to the Borel transform of the total nonperturbative contribution to the QCD spectral density $ρ_QCD(s),$ our Borel-transformed (or “Borelized”) correlation function $Π(τ)$ reads [equation] As the final step, any ignorance about the contributions of higher states to the spectral densities may be swept under the carpet by invoking the assumption of (global) quark–hadron duality [ref] , postulating that above — $τ$-dependent [ref] — effective thresholds $s_eff(τ)$ the solely perturbative contributions to the QCD-level correlator cancel the ones of all excited and continuum states to the hadronic correlator: [equati
Can one control systematic errors of QCD sum rule predictions for bound states? · QCD sum-rule formalism: the example of two-point correlation functions · 0.80
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The perturbative spectral density $ρ_pert(s,μ)$ vanishes below some “theoretical” threshold $s_th.$ For an interpolating current formed by a quark and an antiquark, of masses $m_1$ and $m_2,$ respectively, $s_th$ is given by $s_th=(m_1+m_2)^2.$ Therefore, referring by $Π_NP(τ,μ)$ to the Borel transform of the total nonperturbative contribution to the QCD spectral density $ρ_QCD(s),$ our Borel-transformed (or “Borelized”) correlation function $Π(τ)$ reads [equation] As the final step, any ignorance about the contributions of higher states to the spectral densities may be swept under the carpet by invoking the assumption of (global) quark–hadron duality [ref] , postulating that above — $τ$-dependent [ref] — effective thresholds $s_eff(τ)$ the solely perturbative contributions to the QCD-level correlator cancel the ones of all excited and continuum states to the hadronic correlator: [equati
Accuracy of bound-state form factors extracted from dispersive sum rules · QCD sum-rule formalism: the example of two-point correlation functions · 0.80
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