Abstract
We reanalyse the Weinberg type sum rules in the light of the Laplace transform sum rule and including the leading non-perturbative effects. We then estimate the light quark invariant masses\(\hat m_s /\hat m_d ,\hat m_u \hat m_d \); the pion decay amplitudef π and theA 1 coupling and mass. Using other type of sum rules, we derive bounds on the pseudoscalar decay amplitudesf p (P≡π, K, D, F) as well as on the gluon component of theU(1) A meson mass. Our main results are summarized in Sect. 4.
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Narison, S. On the Laplace transform of the Weinberg type sum rules and on the properties of pseudoscalar mesons. Z. Phys. C - Particles and Fields 14, 263–273 (1982). https://doi.org/10.1007/BF01571825
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DOI: https://doi.org/10.1007/BF01571825