RT Journal Article T1 Chaos in hadrons A1 Muñoz, Laura A1 Fernández Ramírez, César A1 Relaño Pérez, Armando A1 Retamosa Granado, Joaquín AB In the last decade quantum chaos has become a well established discipline with outreach to different fields, from condensed-matter to nuclear physics. The most important signature of quantum chaos is the statistical analysis of the energy spectrum, which distinguishes between systems with integrable and chaotic classical analogues. In recent years, spectral statistical techniques inherited from quantum chaos have been applied successfully to the baryon spectrum revealing its likely chaotic behaviour even at the lowest energies. However, the theoretical spectra present a behaviour closer to the statistics of integrable systems which makes theory and experiment statistically incompatible. The usual statement of missing resonances in the experimental spectrum when compared to the theoretical ones cannot account for the discrepancies. In this communication we report an improved analysis of the baryon spectrum, taking into account the low statistics and the error bars associated with each resonance. Our findings give a major support to the previous conclusions. Besides, analogue analyses are performed in the experimental meson spectrum, with comparison to theoretical models. PB IOP PUBLISHING LTD SN 1742-6588 YR 2012 FD 2012 LK https://hdl.handle.net/20.500.14352/44410 UL https://hdl.handle.net/20.500.14352/44410 LA eng NO [1] Godfrey S and Napolitano J 1999 Rev. Mod. Phys. 71 1411[2] Porter C E 1965 Statistical Theories of Spectra: Fluctuations (New York: Academic Press)[3] Gómez J M G, Kar K, Kota V K B, Molina R A, Relaño A and Retamosa J 2011 Phys. Rep. 499 103[4] Guhr T, Müller-Groeling A and Weidenmüller H A 1998 Phys. Rep. 299 189[5] Berry M V and Tabor M 1977 Proc. R. Soc. London A 356 375[6] Bohigas O, Giannoni M J and Schmit C 1984 Phys. Rev. Lett. 52 1[7] Pascalutsa V 2003 Eur. Phys. J. A 16 149[8] Fernández Ramírez C and Relaño A 2007 Phys. Rev. Lett. 98 062001[9] Molina R A, Retamosa J, Muñoz L, Relaño A and E. Faleiro 2007 Phys. Lett. B 644 25[10] Bae M S, Otsuka T, Mizusaki T and Fukunishi N 1992 Phys. Rev. Lett. 69 2349[11] Mehta M L 2004 Random Matrices (New York: Academic Press)[12] Capstick S and Isgur N 1986 Phys. Rev. D 34 2809[13] Kolmogorov A N 1933 Giornale dell’Istituto Italiano degli Attuari 4 83 Smirnov N 1948 Ann. Math. Stat. 19 279[14] Löring U, Kretzschmar K, Metsch B Ch and Petry H R 2001 Eur. Phys. J. A 10 309; Löring U, Metsch B Ch and Petry H R 2001 Eur. Phys. J. A 10 395; Löring U, Metsch B Ch and Petry H R 2001 Eur. Phys. J. A 10 447[15] Bohigas O and Pato M P 2004 Phys. Lett. B 595 171 2006 Phys. Rev. E 74 036212[16] Muñoz L, Fernández Ramírez C, Relaño A and Retamosa J 2011 (submitted for publication) NO Published under licence by IOP Publishing Ltd. Rutherford Centennial Conference on Nuclear Physics (2011. Manchester, England) DS Docta Complutense RD 18 jul 2024