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- W2068052604 abstract "We investigate lowest-lying scalar meson properties predicted from QCD Laplace sum rules based upon isovector and isoscalar non-strange $bar{q}q$ currents. The hadronic content of these sum rules incorporates deviations from the narrow resonance approximation anticipated from physical resonance widths. The field theoretical content of these sum rules incorporates purely-perturbative QCD contributions to three-loop order, the direct single-instanton contribution in the instanton liquid model, and leading contributions from QCD-vacuum condensates. In the isovector channel, the results we obtain are compatible with a$_0$(1450) being the lowest-lying $qbar{q}$ resonance, and are indicative of a non-$qbar{q}$ interpretation for a$_0$(980). In the isoscalar channel, the results we obtain are compatible with the lowest lying $qbar{q}$ resonance being f$_0$(980) or a state somewhat lighter than f$_0$(980) whose width is less than half of its mass. The dilaton scenario for such a narrower $sigma$-resonance is discussed in detail, and is found compatible with sum rule predictions for the resonance coupling only if the anomalous gluon-field portion of $Theta_mu^mu$ dominates the matrix element $<sigma|Theta_mu^mu|0>$. A linear sigma-model interpretation of the lowest-lying resonance's coupling, when compared to the coupling predicted by sum rules, is indicative of a renormalization-group invariant light-quark mass between 4 and 6 MeV." @default.
- W2068052604 created "2016-06-24" @default.
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- W2068052604 date "1998-04-01" @default.
- W2068052604 modified "2023-09-27" @default.
- W2068052604 title "QCD sum-rule consistency of lowest-lying q scalar resonances" @default.
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- W2068052604 doi "https://doi.org/10.1016/s0375-9474(98)00119-5" @default.
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