首页|Slope of the topological charge, proton spin and the 0-+ pseudoscalar di-gluonia spectra
Slope of the topological charge, proton spin and the 0-+ pseudoscalar di-gluonia spectra
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NSTL
Elsevier
In this paper, we attempt to discuss the topics mentioned in the title by scrutinizing and improving the 0(-+) pseudoscalar di-gluonia/glueballs sum rules within the standard SVZ-expansion at N2LO without instantons.& nbsp;First, we reconsider the estimate of the slope of the topological charge root chi'(0)(Q(2) = 2 GeV2) = 24.3(3.4) MeV from low degree moments which imply integral(1)(0) dxg(1)(P)(x) = 0.144(5) [data: 0.145(14)] for the first moment of the polarized proton structure function (proton spin) and G(A)((0))(10 GeV2) delta u + delta d + delta s = 0.340(50) [data = 0.330(39)] for the singlet form factor of the axial current.& nbsp;Second, we work with high degree moments and parametrize the spectral function beyond the mini-mal duality ansatz: "One resonance circle plus QCD continuum " to get the 0(-+) pseudoscalar di-gluonia spectra. Then, we obtain three groups of gluonia: The familiar light eta 1 [singlet gluon component of the eta'(958)] with [M-eta 1, f(eta 1)] = [825(45), 905(72)] MeV which is important for understanding the U(1)(A) anomaly; The two new medium gluonia with MP1a = 1338(112) MeV and [M-P1b = 1462(117) MeV or their mean [M-P1, f(P1)] = [1397(81), 594(144)] MeV which support the gluonium nature of the ex-cellent experimental candidate eta(1405) and may bring a small gluon piece to the eta (1295); their corre-sponding 1st radial excitations: M-P'1a= 1508(226)MeV and M-P'1b= 1553(139)MeV with their mean: [MP1', f(P1')] = [1541(118),205(282)]MeV which may be identified (up to some eventual mixings with q over line q states) with the observed eta (1475, 1700) states; The heavy gluonium with the mean mass: [M-P2, f(P2)] = [2751(140), 500(43)] MeV which can be compared with the lattice results. One can remark the (natural) one to one correspondence between the pseudoscalar gluonia and their chiral scalar analogue from Ref. [1]: sigma(1) -> eta(1); G1(1.55) -> P1; [sigma'(1.1), G'(1.56)] -> P-1a,P-1b'; G2(3) -> P(2 )which is mainly due to the importance of the QCD PT contributions in the sum rule analysis that are almost equal in these two channels. (c) 2022 Elsevier B.V. All rights reserved.
QCD spectral sum rulesPerturbative and non-perturbative QCDExotic hadronsMasses and decay constantsSUM-RULESQUANTUM CHROMODYNAMICSPOWER CORRECTIONSQCDMASSU(1)INSTANTONSDECAYSMESONRESONANCES
NSTL
Elsevier
