Chiral dynamics in unitary chiral perturbation theory

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• 作者：Zhi-Hui Guo^a ; ^b ; ^guo@um.es ; J.A. Oller^b ; J. Ruiz de Elvira^c
• 关键词：Chiral perturbation theory ; Weinberg sum rules ; Semi-local duality ; 1/NC expansion
• 刊名：Physics Letters B
• 出版年：2012
• 期刊代码：58_03702693
• 类别：ph
• 出版时间：12 June, 2012
• 卷：712
• 期：4-5
• 页码：407-412
• 文件大小：287 K

摘要

We perform a complete one-loop calculation of meson-meson scattering, and of the scalar and pseudoscalar form factors in chiral perturbation theory with the inclusion of explicit resonance fields. This effective field theory takes into account the low-energy effects of the QCD anomaly explicitly in the dynamics. The calculations are supplied by non-perturbative unitarization techniques that provide the final results for the meson-meson scattering partial waves and the scalar form factors considered. We present thorough analyses on the scattering data, resonance spectroscopy, spectral functions, Weinberg-like sum rules and semi-local duality. The last two requirements establish relations between the scalar spectrum with the pseudoscalar and vector ones, respectively. The extrapolation of the various quantities is studied as well. The fulfillment of all these non-trivial aspects of the QCD dynamics by our results gives a strong support to the emerging picture for the scalar dynamics and its related spectrum.