QCD coupling below 1 GeV from the quarkonium spectrum

Baldicchi, M.; Нестеренко, А. В.; Prosperi, G. M.; Simolo, C.

doi:10.1103/physrevd.77.034013

Cited by 69 publications

(56 citation statements)

References 74 publications

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“…The running coupling must go to zero like the fourth power of momentum being this in agreement with lattice computations as shown by Boucaud et al [17] but as also seen from experiments as shown by Prosperi et al [18,19,20]. These latter results on the running coupling give a strong clue that Yang-Mills theory is trivial as happens for the scalar field theory.…”

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confidence: 72%

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Yang-Mills Propagators and QCD

Frasca¹

2009

Nuclear Physics B - Proceedings Supplements

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We present a strong coupling expansion that permits to develop analysis of quantum field theory in the infrared limit. Application to a quartic massless scalar field gives a massive spectrum and the propagator in this regime. We extend the approach to a pure Yang-Mills theory obtaining analogous results. The gluon propagator is compared satisfactorily with lattice results and similarly for the spectrum. Comparison with experimental low energy spectrum of QCD supports the view that $\sigma$ resonance is indeed a glueball. The gluon propagator we obtained is finally used to formulate a low energy Lagrangian for QCD that reduces to a Nambu-Jona-Lasinio model with all the parameters fixed by those of the full theory.Comment: 4 pages, 1 figure. Contribution to proceedings of QCD 08 Conference, (Montpellier, France, July 7-12, 2008). Modified enunciation of the mapping theore

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supporting

confidence: 72%

“…For this to work we need to go to Euclidean momenta and fix m 0 in eq. (20). The result is presented in Fig.…”

mentioning

confidence: 82%

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Yang-Mills Propagators and QCD

Frasca¹

2009

Nuclear Physics B - Proceedings Supplements

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“…In Ref. [27], the authors obtained a first principal Bethe-Salpeter equation, and then reduced it to the eigenvalue equation for the square mass operator [26][27][28][29][30] by means of a three dimensional reduction…”

Section: Qssementioning

confidence: 99%

“…As applying the formula (1) to fit the bottomonia and charmonia, the results are excellent. In the present work, we use the quadratic form of the spinless Salpeter-type equation (QSSE) [26][27][28][29][30][31][32][33] to discuss the Regge trajectories for the mesons consisting of different quarks. We find that the obtained formula can be written in the same form as the Regge trajectories in Eq.…”

Section: Introductionmentioning

confidence: 99%

Regge trajectories for the mesons consisting of different quarks

Chen

2018

Eur. Phys. J. C

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By applying the Bohr-Sommerfeld quantization approach to the quadratic form of the spinless Salpeter-type equation (QSSE), we show that the obtained Regge trajectories for the mesons consisting of unequally massive quarks take the form M 2 = β (c l l + π n r + c 0 )2/3 + c 1 , which have the same form as the Regge trajectories for charmonia and bottomonia. Then we apply the obtained Regge trajectories to fit the spectra of the strange mesons, the heavy-light mesons (the D, D s , B and B s mesons) and the bottom-charmed mesons. The fitted Regge trajectories are in agreement with the experimental data and the theoretical predictions, which demonstrates that the newly proposed Regge trajectories can be applied universally to the light mesons, the heavy-light mesons and the heavy mesons. By fitting the spectra of the mesons composed of different quarks, the concavity of these Regge trajectories are illustrated, which is of cardinal significance for the potential models.

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Open string QED meson description of the X17 particle and dark matter

Wong

2020

J. High Energ. Phys.

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As a quark and an antiquark cannot be isolated, the intrinsic motion of a composite qq system in its lowest-energy states lies predominantly in 1+1 dimensions, as in an open string with the quark and the antiquark at its two ends. Accordingly, we study the lowest-energy states of an open string qq system in QCD and QED in 1+1 dimensions. We show that π 0 , η, and η can be adequately described as open string qq QCD mesons. By extrapolating into the qq QED sector in which a quark and an antiquark interact with the QED interaction, we find an open string isoscalar I(J π) = 0(0 −) QED meson state at 17.9±1.5 MeV and an isovector (I(J π) = 1(0 −), I 3 = 0) QED meson state at 36.4±3.8 MeV. The predicted masses of the isoscalar and isovector QED mesons are close to the masses of the hypothetical X17 and E38 particles observed recently, making them good candidates for these particles. The decay products of QED mesons may show up as excess e + e − and γγ pairs in the anomalous soft photon phenomenon associated with hadron productions in high-energy hadron-proton collisions and e +-e − annihilations. Measurements of the invariant masses of excess e + e − and γγ pairs will provide tests for the existence of the open string qq QED mesons. An assembly of gravitating QED mesons are expected to emit electron-positron pairs and/or gamma rays and their decay energies and lifetimes will be modified by their gravitational binding energies. Consequently, a self-gravitating isoscalar QED meson assembly whose mass M and radius R satisfy (M/M)/(R/R) 4.71 × 10 5 will not produce electron-positron pairs nor gamma rays and may be a good candidate for the primordial dark matter.

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QCD coupling below 1 GeV from the quarkonium spectrum

Cited by 69 publications

References 74 publications

Yang-Mills Propagators and QCD

Yang-Mills Propagators and QCD

Regge trajectories for the mesons consisting of different quarks

Open string QED meson description of the X17 particle and dark matter

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