RT Journal Article T1 Spectral-fluctuations test of the quark-model baryon spectrum A1 Fernández Ramírez, C. A1 Relaño Pérez, Armando AB We study the low-lying baryon spectrum (up to 2.2 GeV) provided by experiments and different quark models using statistical tools which allow us to postulate the existence of missing levels in spectra. We confirm that the experimental spectrum is compatible with random matrix theory, the paradigmatic model of quantum chaos, and we find that the quark models are more similar to a Poisson distribution, which is not compatible with what should be expected in a correlated spectrum. From our analysis it stems that the spectral fluctuation properties of quark-model spectra are incompatible with experimental data. This result can be used to enlighten the problem of missing resonances. PB American Physical Society SN 0031-9007 YR 2007 FD 2007-02-09 LK https://hdl.handle.net/20.500.14352/51274 UL https://hdl.handle.net/20.500.14352/51274 LA eng NO [1] H. L. Anderson, E. Fermi, E. A. Long, and D. E. Nagle, Phys. Rev. 85, 936 (1952).[2] G. Zweig, CERN Report No. TH-401, 1964; CERN Report No. TH-412, 1964; O.W. Greenberg and M. Resnikoff, Phys. Rev. 163, 1844 (1967); R. Horgan and R. H. Dalitz, Nucl. Phys. B66, 135 (1973); N. Isgur and G. Karl, Phys. Rev. D 18, 4187 (1978); Phys. Rev. D 20, 1191 (1979); R. Koniuk and N. Isgur, Phys. Rev. D 21, 1868 (1980); A. J. Hey and R. L. Kelly, Phys. Rep. 96, 71 (1983).[3] S. Capstick and N. Isgur, Phys. Rev. D 34, 2809 (1986).[4] S. Capstick and W. Roberts, Prog. Part. Nucl. Phys. 45, S241 (2000).[5] 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, Eur. Phys. J. A 10, 395 (2001); Eur. Phys. J. A 10, 447 (2001); U. Löring, Ph.D. dissertation, Universität Bonn, Germany, 2001.[6] W.-M. Yao et al., J. Phys. G 33, 1 (2006).[7] 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).[8] 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/.[9] D. Dutta, H. Gao, and T.-S. H. Lee, Phys. Rev. C 65, 044619 (2002).[10] T. Nakano et al., Phys. Rev. Lett. 91, 012002 (2003); J. M. Link et al., Phys. Lett. B 622, 229 (2005); M. Battaglieri et al., Phys. Rev. Lett. 96, 042001 (2006); R. De Vita et al., Phys. Rev. D 74, 032001 (2006); B. McKinnon et al., Phys. Rev. Lett. 96, 212001 (2006); J. M. Link et al., Phys. Lett. B 639, 604 (2006); M. Ripani et al., Phys. Rev. Lett. 91, 022002 (2003).[11] C. Bernard, T. Burch, K. Orginos, D. Toussaint, T. A. DeGrand, C. DeTar, S. Datta, S. Gottlieb, U. M. Heller, and R. Sugar, Phys. Rev. D 64, 054506 (2001).[12] P. R. Page, E. S. Swanson, and A. P. Szczepaniak, Phys. Rev. D 59, 034016 (1999); F. J. Llanes Estrada and S. R. Cotanch, Phys. Rev. Lett. 84, 1102 (2000); Phys. Lett. B 504, 15 (2001); Nucl. Phys. A697, 303 (2002).[13] C. E. Porter, Statistical Theories of Spectra: Fluctuations (Academic Press, New York, 1965).[14] M.V. Berry and M. Tabor, Proc. R. Soc. A 356, 375 (1977).[15] O. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984).[16] V. Pascalutsa, Eur. Phys. J. A 16, 149 (2003).[17] O. Bohigas and M. P. Pato, Phys. Lett. B 595, 171 (2004); Phys. Rev. E 74, 036212 (2006).[19] R. A. Molina, J. Retamosa, L. Muñoz, A. Relaño, and E. Faleiro, Phys. Lett. B 644, 25 (2007).[20] T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998); M. L. Mehta, Random Matrices (Academic Press, New York, 1991).[22] J. M. G. Gómez, R. A. Molina, A. Relaño, and J. Retamosa, Phys. Rev. E 66, 036209 (2002).[24] Numerical Algorithms Group Ltd., Wilkinson House, Oxford, Jordan Hill Road, OX2-8DR, U.K., http://www.nag.co.uk/ NO © 2007 The American Physical Society. The authors thank Dr. T. van Cauteren, Dr. F. J. Llanes Estrada, Dr. R.A. Molina, Professor E. Moya de Guerra, Dr. J. Retamosa, and Dr. J.M. Udías for valuable comments. A. R. is supported by the Spanish program ‘‘Juan de la Cierva’’. This work has been partly supported under contracts of Ministerio de Educación y Ciencia (Spain) No. FTN2003-08337-C04-04 and No. FIS2005-00640. NO Spanish program ‘‘Juan de la Cierva’’ NO Ministerio de Educación y Ciencia (Spain) DS Docta Complutense RD 17 ago 2024