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

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2015-09-24
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Amer Physical Soc
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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.
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© 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.
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[1] S. Godfrey and J. Napolitano, Rev. Mod. Phys. 71, 1411 (1999). [2] S. Capstick and N. Isgur, Phys. Rev. D 34, 2809 (1986). [3] U. Löring, K. Kretzschmar, B. Ch. Metsch, and H. R. Petry, Eur. Phys. J. A 10, 309 (2001); U. Löring, B. Ch. Metsch, and H. R. Petry, ibid. 10, 395 (2001); 10, 447 (2001). [4] W.-M. Yao et al., J. Phys. G 33, 1 (2006). [5] M. Q. Tran et al., Phys. Lett. B 445, 20 (1998); E. Anciant et al., Phys. Rev. Lett. 85, 4682 (2000); K. Lukashin et al., Phys. Rev. C 63, 065205 (2001); 64, 059901(E) (2001); B. Krusche and S. Schadmand, Prog. Part. Nucl. Phys. 51, 399 (2003); J. W. C. McNabb et al., Phys. Rev. C 69, 042201(R) (2004); V. Crede et al., Phys. Rev. Lett. 94, 012004 (2005); R. Bradford et al., Phys. Rev. C 73, 035202 (2006). [6] T. P. Vrana, S. A. Dytman, and T.-S. H. Lee, Phys. Rep. 328, 181 (2000); R. A. Arndt, W. J. Briscoe, I. I. Strakovsky, and R. L. Workman, Phys. Rev. C 66, 055213 (2002); http://gwdac.phys.gwu.edu/. [7] D. Dutta, H. Gao, and T.-S. H. Lee, Phys. Rev. C 65, 044619 (2002). [8] C. Amsler and N. A. Törnqvist, Phys. Rep. 389, 61 (2004); D. V. Bugg, ibid. 397, 257 (2004); A. Donnachie, ibid. 403–404, 281 (2004); E. Klempt and A. Zaitsev, ibid. 454, 1 (2007). [9] R. Jaffe and K. Johnsons, Phys. Lett. B 60, 201 (1976). [10] F. A. Harris, Int. J. Mod. Phys. A 26, 347 (2011). [11] R. de Vita, AIP Conf. Proc. 1354, 141 (2011). [12] F. Nerling, PoS (ICHEP2010), 163 (2010). [13] M. Naruki, Int. J. Mod. Phys. A 26, 533 (2011). [14] B. Zihlmann, in Hadron 2009: Proceedings of the XIII International Conference on Hadron Spectroscopy, Tallahassee, edited by V. Crede, P. Eugenio, and A. Ostrovidov, AIP Conf. Proc. No. 1257 (AIP, New York, 2010), p. 116. [15] M. Koll, R. Ricken, D. Merten, B. C. Metsch, and H. R. Petry, Eur. Phys. J. A 9, 73 (2000). [16] J. Vijande, F. Fernández, and A. Valcarce, J. Phys. G 31, 481 (2005). [17] D. Ebert, R. N. Faustov, and V. O. Galkin, Phys. Rev. D 79, 114029 (2009). [18] S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985). [19] J. J. Dudek, R. G. Edwards, M. J. Peardon, D. G. Richards, and C. E. Thomas (Hadron Spectrum Collaboration), Phys. Rev. Lett. 103, 262001 (2009); Phys. Rev. D 82, 034508 (2010). [20] J. J. Dudek, R. G. Edwards, B. Joó, M. J. Peardon, D. G. Richards, and C. E. Thomas (Hadron Spectrum Collaboration), Phys. Rev. D 83, 111502(R) (2011). [21] C. E. Porter, Statistical Theories of Spectra: Fluctuations (Academic Press, New York, 1965). [22] J. M. G. Gómez, K. Kar, V. K. B. Kota, R. A. Molina, A. Relaño, and J. Retamosa, Phys. Rep. 499, 103 (2011). [23] T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998). [24] M. V. Berry and M. Tabor, Proc. R. Soc. London A 356, 375 (1977). [25] O. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984). [26] S. Heusler, S. Müller, A. Altland, P. Braun, and F. Haake, Phys. Rev. Lett. 98, 044103 (2007). [27] M. Robnik, J. Phys. A 17, 1049 (1984). [28] M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984). [29] S. Tomsovic and D. Ullmo, Phys. Rev. E 50, 145 (1994). [30] P. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. 79, 1837 (1997). [31] E. P. Wigner, SIAM Rev. 9, 1 (1967). [32] R. U. Haq, A. Pandey, and O. Bohigas, Phys. Rev. Lett. 48, 1086 (1982). [33] V. Pascalutsa, Eur. Phys. J. A 16, 149 (2003). [34] C. Fernández Ramírez and A. Relaño, Phys. Rev. Lett. 98, 062001 (2007). [35] O. Bohigas and M. P. Pato, Phys. Lett. B 595, 171 (2004). [36] L. Muñoz, C. Fernández Ramírez, A. Relaño, and J. Retamosa, Phys. Lett. B 710, 139 (2012). [37] K. A. Olive et al. (Particle Data Group), Chin. Phys. C 38, 090001 (2014). [38] R. A. Molina, J. Retamosa, L. Muñoz, A. Relaño, and E. Faleiro, Phys. Lett. B 644, 25 (2007). [39] M. Gutzwiller, J. Math. Phys. 8, 1979 (1967); 12, 343 (1971). [40] J. M. G. Gómez, R. A. Molina, A. Relaño, and J. Retamosa, Phys. Rev. E 66, 036209 (2002). [41] M. L. Mehta, Random Matrices (Academic Press, New York, 2004). [42] A. N. Kolmogorov, Giornale dell’Istituto Italiano degli Attuari 4, 83 (1933); N. Smirnov, Ann. Math. Stat. 19, 279 (1948). [43] H. Makino and S. Tasaki, Phys. Rev. E 67, 066205 (2003).
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