Spectral-statistics properties of the experimental and theoretical light baryon and meson spectra

© 2015 American Physical Society. The authors thank Dr. R. A. Molina and Dr. S. Melis for valuable comments. This work is supported by Spanish Government grant for the research Project No. FIS2012-35316.
We compare the statistical fluctuation properties of the baryon and meson experimental mass spectra with those obtained from theoretical models (quark models and lattice QCD). We find that for the experimental spectra the statistical properties are close to those predicted by random matrix theory for chaotic systems, while for the theoretical ones they are in general closer to those predicted for integrable systems and safely incompatible with those of chaotic systems. We stress the importance of the agreement of the fluctuation properties between experiment and theoretical models, as they determine the dynamical regime and the complexity of the real interactions. We emphasize the new statistical method we use, adapted to properly analyze the fluctuation properties for very short spectral sequences.
Gobierno de España
Depto. de Estructura de la Materia, Física Térmica y Electrónica
Fac. de Ciencias Físicas
TRUE
pub