Spectral-statistics properties of the experimental and theoretical light meson spectra
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2012
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Elsevier Science BV
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Abstract
We present a robust analysis of the spectral fluctuations exhibited by the light meson spectrum. This analysis provides information about the degree of chaos in light mesons and may be useful to get some insight on the underlying interactions. Our analysis unveils that the statistical properties of the light meson spectrum are close, but not exactly equal, to those of chaotic systems. In addition, we have analyzed several theoretical spectra including the latest lattice QCD calculation. With a single exception, their statistical properties are close to those of a generic integrable system, and thus incompatible with the experimental spectrum.
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© 2012 Elsevier B.V. The authors thank F.J. Llanes-Estrada, L. Scorzato and L.M. Fraile for their valuable comments, J.J. Dudek for making available the HSC lattice QCD meson spectrum in [16], and Professor F. Fernandez for providing an updated spectrum of the model in [12]. This research has been conducted with support of the Spanish Ministry of Science and Innovation grants FIS2009-11621-C02-01 and FIS2009-07277, and by CPAN, CSPD-2007-00042@Ingenio2010. C.F.-R. is supported by "Juan de la Cierva" program of the Spanish Ministry of Science and Innovation (Spain). A.R. is supported by the Spanish program JAE-Doc (CSIC).