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QCD at Low Energies

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arxiv hep-ph/0502148 v2 pith:ITMC7FVG submitted 2005-02-16 hep-ph

classification hep-ph
keywords quarkcondensatefoundalphadataoperatorpolarizationrules
verification ladder T0 review T1 audit T2 compute T3 formal
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The modern status of basic low energy QCD parameters is reviewed. It is demonstrated, that the recent data allows one to determine the light quark mass ratios with an accuracy 10-15%. The general analysis of vacuum condensates in QCD is presented, including those induced by external fields. The QCD coupling constant alpha_s is found from the tau-lepton hadronic decay rate. V-A spectral functions of tau-decay are used for construction of the V-A polarization operator Pi_{V-A}(s) in the complex s-plane. The operator product expansion (OPE) is used up to dimension D=10 and the sum rules along the rays in the complex s-plane are constructed. The best values of quark condensate and alpha_s<0|qq|0>^2 are found. The value of quark condensate is confirmed by considering the sum rules for baryon masses. Gluon condensate is found in four ways: by considering of V+A polarization operator based on the tau-decay data, by studying the sum rules for polarization operators momenta in charmonia in vector, pseudoscalar and axial channels. All of these determinations are in agreement and result in <(alpha_s/pi)G^2 > =0.005 \pm 0.004 GeV^4. Valence quark distributions in proton are calculated in QCD using the OPE in proton current virtuality. The quark distributions agree with those found from the deep inelastic scattering data. The same value of gluon condensate is favoured.

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Cited by 13 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Deciphering the nature of $P^{\Sigma}_{\psi s}$ pentaquarks in the light of their electromagnetic multipole moments

    hep-ph 2026-04 unverdicted novelty 7.0 of 10

    QCD light-cone sum rules computation of magnetic dipole, electric quadrupole, and magnetic octupole moments for Σ-type P_ψs pentaquarks, with quark-flavor decomposition and model discriminants.

  2. Charting doubly strange hidden-charm pentaquarks: An electromagnetic mapping of spin-$\frac{1}{2}$ and $\frac{3}{2}$ states

    hep-ph 2026-07 accept novelty 6.0 of 10

    LCSR calculations of magnetic, quadrupole and octupole moments for S=-2 hidden-charm pentaquarks yield large current-dependent ranges (-4.25 to 5.74 μ_N) dominated by the charm quark in most diquark configurations.

  3. Analytic electromagnetic signatures of compact pentaquark structure: A multi-current QCD light-cone sum rules analysis of the $P_{\psi s}^{\Lambda}$ states

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    LCSR analysis of compact pentaquarks yields μ_u/μ_d = -2 for all currents and μ_c = 0 for one current, with numerical moments of order 1-3 μ_N that differ in flavor decomposition from molecular calculations.

  4. Magnetic dipole moments as probes of doubly-bottom molecular pentaquarks

    hep-ph 2026-07 conditional novelty 5.0 of 10

    For the molecular pentaquark configurations BΣ_b, BΣ_b*, and B*Σ_b, the predicted magnetic dipole moments are 2.40, −2.84, and 5.17 nuclear magnetons respectively, with a sign and magnitude pattern sensitive to spin s...

  5. Structural dissection of hadronic molecules: The $D^{(*)}\bar{K}^{(*)}$ family under QCD light-cone sum rules

    hep-ph 2026-02 conditional novelty 5.0 of 10

    QCD light-cone sum rules predict magnetic moments from −2.0 to +3.1 nuclear magnetons and quadrupole moments near 10⁻³ fm² for JP=1+ D(*)K̅(*) molecular tetraquarks, dominated by light-quark contributions.

  6. Electromagnetic form factors: A window into the $D\Lambda_c$, $D^*\Lambda_c$, and $D\Lambda_c^*$ molecular structure

    hep-ph 2025-11 reject novelty 5.0 of 10

    Using light-cone QCD sum rules, the paper predicts negative magnetic dipole moments of roughly -1.27, -2.78, and -3.80 nuclear magnetons for the DΛc, D*Λc, and DΛc* molecular pentaquark candidates, plus small quadrupo...

  7. Semileptonic $\Omega_{b}^{*}\rightarrow\Omega_{c}^{*} \ell \bar{\nu}_{\ell}$ transition in QCD

    hep-ph 2025-09 conditional novelty 5.0 of 10

    The Omega_b* -> Omega_c* l nu semileptonic decay widths are predicted with QCD sum rules: about 2.5e-12 GeV for electron/muon channels and 0.71e-12 GeV for the tau channel, with R = 0.29.

  8. Probing the electromagnetic structure of the $P_c(4337)^+$ pentaquark: Insights from a diquark-diquark-antiquark picture for $J^P = \frac{1}{2}^-$ and $\frac{3}{2}^-$ states

    hep-ph 2025-06 conditional novelty 5.0 of 10

    Under the diquark-diquark-antiquark model, the magnetic moment of Pc(4337)+ is predicted to be 1.76 ± 0.44 μN for J^P = 1/2^- and -1.38 ± 0.35 μN for J^P = 3/2^-, with nonzero quadrupole and octupole moments in the 3/...

  9. Investigating the underlying structure of vector hidden-charm tetraquark states via their electromagnetic characteristics

    hep-ph 2024-12 conditional novelty 5.0 of 10

    QCD light-cone sum rules give magnetic moments for vector hidden-charm tetraquarks that depend strongly on the chosen diquark-antidiquark current.

  10. Shedding light on the nature of the $P_{cs}(4459)$ pentaquark state

    hep-ph 2024-11 conditional novelty 5.0 of 10

    QCD light-cone sum rules with three diquark-diquark-antiquark currents predict Pcs(4459) magnetic dipole moments of -0.60, 1.60, and 0.99 nuclear magnetons.

  11. Magnetic dipole moments of the singly-heavy baryons with spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$

    hep-ph 2024-11 conditional novelty 5.0 of 10

    QCD light-cone sum rules are used to predict magnetic dipole moments of all singly-heavy baryons with spin 1/2 and spin 3/2, plus electric quadrupole and magnetic octupole moments for the higher-spin states.

  12. Electromagnetic structure of charged and neutral strange vector mesons

    hep-ph 2026-07 conditional novelty 4.0 of 10

    Covariant NJL calculations give K*+ charge radius 0.45 fm² and magnetic moment 2.67 μ_N, and K*0 radius −0.04 fm² and moment 0.032 μ_N.

  13. Semileptonic and nonleptonic weak decays of bottom baryons $\Omega^{(*)}_{b}$

    hep-ph 2025-10 conditional novelty 4.0 of 10

    QCD sum-rule calculation predicts Ω_b^*→Ω_c and Ω_b→Ω_c^* semileptonic and nonleptonic decay widths, e.g. Γ(Ω_b^*→Ω_c eν)=(1.54+0.29−0.27)×10^-14 GeV.

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