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- W2080496403 abstract "We consider the first pion excitation as a sub-continuum resonance in the pseudoscalar channel, and we obtain parameters characterizing this resonance through a global fit of the Borel-parameter dependence of the field-theoretical pseudoscalar Laplace sum rule to its hadronic (pion + pion-excitation + QCD-continuum) content. Our analysis incorporates finite-width deviations from the narrow resonance approximation, instanton effects, and higher-loop perturbative contributions to the pseudoscalar correlator. We obtain the following values (uncertainties reflect 90% confidence levels): mass $M_Pi = 1.15 pm 0.28 GeV$, width $Gamma_Pi = < 0.48 GeV$, decay constant $r equiv [F_Pi M_Pi^2 / f_pi m_pi^2]^2 = 4.7 pm 2.8$." @default.
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- W2080496403 date "1997-10-01" @default.
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- W2080496403 title "Beyond the narrow resonance approximation: Decay constant and width of the first pion-excitation state" @default.
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- W2080496403 doi "https://doi.org/10.1016/s0370-2693(97)01049-6" @default.
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