Publication:
Nonordinary light meson couplings and the 1/N_c expansion

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2014-08-14
Authors
Cohen, Thomas
Ruiz de Elvira Carrascal, Jacobo
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
We study the large N_c behavior of couplings among light meson states with different compositions in terms of quarks and gluons. We shortly review the most common compositions of mesons, which are of interest for the understanding of low-lying meson resonances, namely, the ordinary quark-antiquark states as well as the nonordinary glueball, tetraquark, and other states. We dedicate special attention to Jaffe's generalization of the tetraquark with N_c - 1 q -q over bar q pairs, which is the only type of state we have identified whose width does not necessarily vanish with N_c, though it does decouple exponentially with N_c from the ππ channel, so that it is weakly coupled to the meson-meson system.
Description
© 2014 American Physical Society. This work was partially supported by the Spanish Research Contracts No. FIS2008-01323, No. FPA2011-27853-C02-01, and No. FPA2011-27853-C02-02 and the DFG (No. SFB/TR 16, “Subnuclear Structure of Matter”). We acknowledge the support of the European Community-Research Infrastructure Integrating Activity “Study of Strongly Interacting Matter” (HadronPhysics2), Grant Agreement No. 227431 under the Seventh Framework Programme of the EU.
Unesco subjects
Keywords
Citation
[1] G. ’t Hooft, Nucl. Phys. B72, 461 (1974). [2] E. Witten, Nucl. Phys. B160, 57 (1979); see also E. Witten, Phys. Today 33, 38 (1980). [3] A. V. Manohar, arXiv:hep-ph/9802419. [4] A. P. Szczepaniak and E. S. Swanson, Phys. Lett. B 577, 61 (2003). [5] C. McNeile, Nucl. Phys. B, Proc. Suppl. 186, 264 (2009). [6] R. L. Jaffe, Phys. Rev. D 17, 1444 (1978). [7] J. R. Peláez, Phys. Rev. Lett. 92, 102001 (2004). [8] J. R. Peláez and G. Ríos, Phys. Rev. Lett. 97, 242002 (2006). [9] J. Nebreda, J. R. Peláez, and G. Ríos, Phys. Rev. D 84, 074003 (2011). [10] J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985). [11] R. L. Jaffe, in Proceedings, 1981 International Symposium on Lepton and Photon Interactions at High Energies, Physikalisches Institut, University of Bonn, Federal Republic of Germany, August 24-29, 1981, Volume 10 (Physikalisches Institut, University of Bonn, 1981); in Stanford 1977, Proceedings, Summer Institute On Particle Physics, Stanford University, Stanford, CA, 1977), p. 351; AIP Conf. Proc. 964, 1 (2007); Prog. Theor. Phys. Suppl. 168, 127 (2007). [12] M. G. Rocha, F. J. Llanes-Estrada, D. Schutte, and S. V. Chávez, Eur. J. Phys. A 44, 411 (2010). [13] T. D. Lee, Particle Physics and Introduction to Field Theory (Harwood Academic, New York, 1981). [14] N. H. Christ and T. D. Lee, Phys. Rev. D 22, 939 (1980); Phys. Scr. 23, 970 (1981). [15] A. P. Szczepaniak and E. S. Swanson, Phys. Rev. D 65, 025012 (2001). [16] J. M. Torres-Rincón and F. J. Llanes-Estrada, Phys. Rev. Lett. 105, 022003 (2010). [17] S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, England, 1985), p. 377. [18] S. Weinberg, Phys. Rev. Lett. 110, 261601 (2013). [19] M. Knecht and S. Peris, Phys. Rev. D 88, 036016 (2013). [20] T. D. Cohen and R. F. Lebed, Phys. Rev. D 90, 016001 (2014). [21] N. Isgur, R. Kokoski, and J. E. Paton, Phys. Rev. Lett. 54, 869 (1985); F. Iddir, S. Safir, and O. Pene, Phys. Lett. B 433, 125 (1998); F. J. Llanes-Estrada and S. R. Cotanch, Phys. Lett. B 504, 15 (2001); C. Semay, F. Buisseret, and B. Silvestre-Brac, Phys. Rev. D 79, 094020 (2009). [22] I. J. General, P. Wang, S. R. Cotanch, and F. J. Llanes-Estrada, Phys. Lett. B 653, 216 (2007). [23] P.Wang, S. R. Cotanch, and I. J. General, Eur. Phys. J. C 55, 409 (2008); see also W. Xie et al., arXiv:1302.5737. [24] T. D. Cohen and R. F. Lebed, Phys. Rev. D 89, 054018 (2014). [25] T. D. Cohen, N. Kumar, and K. K. Ndousse, Phys. Rev. C 84, 015204 (2011). [26] P. Adhikari and T. D. Cohen, Phys. Rev. C 88, 055202 (2013). [27] R. F. Dashen, B. Hasslacher, and A. Neveu, Phys. Rev. D 12, 2443 (1975). [28] T. D. Cohen and P. M. Hohler, Phys. Rev. D 75, 094007 (2007). [29] A. M. Halasz and R. D. Amado, Phys. Rev. D 63, 054020 (2001). [30] L. Bonanno and F. Giacosa, Nucl. Phys. A859, 49 (2011). [31] T. N. Truong, Phys. Rev. Lett. 61, 2526 (1988); A. Dobado, M. J. Herrero, and T. N. Truong, Phys. Lett. B 235, 134 (1990). [32] A. Dobado and J. R. Peláez, Phys. Rev. D 56, 3057 (1997). [33] J. Nieves and E. Ruiz Arriola, Phys. Rev. D 80, 045023 (2009). [34] J. Ruiz de Elvira, J. R. Peláez, M. R. Pennington, and D. J. Wilson, Phys. Rev. D 84, 096006 (2011). [35] J. Nieves, A. Pich, and E. Ruiz Arriola, Phys. Rev. D 84, 096002 (2011). [36] Z.-H. Guo, J. A. Oller, and J. Ruiz de Elvira, Phys. Lett. B 712, 407 (2012); Phys. Rev. D 86, 054006 (2012). [37] R. F. Dashen, E. E. Jenkins, and A. V. Manohar, Phys. Rev. D 51, 3697 (1995). [38] F. J. Llanes-Estrada, J. R. Peláez, and J. Ruiz de Elvira, Nucl. Phys. B, Proc. Suppl. 207–208, 169 (2010).
Collections