Publication: Nature of light scalar mesons from their large N_c behavior
Loading...
Official URL
Full text at PDC
Publication Date
2004-03-12
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Exportar
Abstract
We show how to obtain information about the states of an effective field theory in terms of the underlying fundamental theory. In particular, we analyze the spectroscopic nature of meson resonances from the meson-meson scattering amplitudes of the QCD low energy effective theory, combined with the expansion in the large number of colors. The vectors follow a q̅q behavior, whereas the, σ,ĸ, and f_0 (980) scalars disappear fo large N_c, in support of a q̅ q̅ qq -like nature. The a_0 shows a similar pattern, but the uncertainties are large enough to accommodate both interpretations.
Description
©2004 The American Physical Society.
his work was supported in part by funds provided by the Spanish DGI with Grant Nos. BFM2002-03218, BFM2000-1326 and BFM2002-01003; CICYT Grant No. FPA2000-0956; Junta de Andalucía Grant No. FQM-225 and EURIDICE with contract number HPRN-CT-2002-00311.
UCM subjects
Unesco subjects
Keywords
Citation
[1] R. L. Jaffe, Phys. Rev. D 15, 267 (1977); 15, 281 (1977); E. van Beveren et al., Z. Phys. C 30, 615 (1986); R. Kaminski, L. Lesniak, and J. P. Maillet, Phys. Rev. D 50, 3145 (1994); M. Harada, F. Sannino, and J. Schechter, Phys. Rev. D 54, 1991 (1996); R. Delbourgo and M. D. Scadron, Mod. Phys. Lett. A 10, 251 (1995); S. Ishida et al., Prog. Theor. Phys. 95, 745 (1996); 98, 621 (1997); N. A. Tornqvist and M. Roos, Phys. Rev. Lett. 76, 1575 (1996); D. Black et al., Phys. Rev. D 58, 054012 (1998); E. van Beveren and G. Rupp, Eur. Phys. J. C 22, 493 (2001).
[2] E791 Collaboration, E. M. Aitala et al., Phys. Rev. Lett. 86, 770 (2001); 89, 121801 (2002)
[3] S. Weinberg, Physica (Amsterdam) 96A, 327 (1979); J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); Nucl. Phys. B250, 465 (1985).
[4] J. Bijnens, G. Colangelo, and J. Gasser, Nucl. Phys. B427, 427 (1994).
[5] G. ’t Hooft, Nucl. Phys. B72, 461 (1974); E. Witten, Ann. Phys. (N.Y.) 128, 363 (1980).
[6] A. A. Andrianov, Phys. Lett. 157B, 425 (1985); A. A. Andrianov and L. Bonora, Nucl. Phys. B233, 232 (1984); D. Espriu, E. de Rafael, and J. Taron, Nucl. Phys. B345, 22 (1990); S. Peris and E. de Rafael, Phys. Lett. B 348, 539 (1995).
[7] A. Pich, hep-ph/0205030.
[8] T. N. Truong, Phys. Rev. Lett. 61, 2526 (1988); 67, 2260 (1991); A. Dobado, M. J. Herrero, and T. N. Truong, Phys. Lett. B 235, 134 (1990); A. Dobado and J. R. Pelaez, Phys. Rev. D 47, 4883 (1993); 56, 3057 (1997).
[9] J. A. Oller, E. Oset, and J. R. Pelaez, Phys. Rev. Lett. 80, 3452 (1998); Phys. Rev. D 59, 074001 (1999); 60, 099906(E) (1999); 62, 114017 (2000); M. Uehara, hepph/0204020.
[10] F. Guerrero and J. A. Oller, Nucl. Phys. B537, 459 (1999); B602, 641(E) (2001).
[11] A. Gómez Nicola and J. R. Peláez, Phys. Rev. D 65, 054009 (2002); in Coimbra 2002: Effective Theories of Low Energy QCD, editedby A. H. Blin, B. Hiller, A. A. Osipov, M. C. Ruivo, and E. van Beveren, AIP Conf. Proc. No. 660 (AIP, Melville, NY, 2003), p. 102.
[12] J. A. Oller and E. Oset, Nucl. Phys. A620, 438 (1997); Phys. Rev. D 60, 074023 (1999).
[13] J. Nieves and E. Ruiz Arriola, Nucl. Phys. A679, 57 (2000).
[14] J. Nieves, M. Pavon Valderrama, and E. Ruiz Arriola, Phys. Rev. D 65, 036002 (2002).
[15] A. Dobado and J. R. Pelaez, Phys. Rev. D 65, 077502 (2002).
[16] B. Ananthanarayan, G. Colangelo, J. Gasser, and H. Leutwyler, Phys. Rep. 353, 207 (2001).
[17] M. Harada, F. Sannino, and J. Schechter, hep-ph/ 0309206.
[18] R. L. Jaffe, in Proceedings of the International Symposium on Lepton and Photon Interactions at High Energies (Physikalisches Institut, University of Bonn, Bonn, Germany, 1981).
[19] V. Cirigliano et al., hep-ph/0305311; N. N. Achasov, hep-ph/0309118; T. Schaefer, hep-ph/0309158.
[20] A. Gómez Nicola, et al. Phys. Lett. B 486, 77 (2000).
[21] A. Dobado, M. J. Herrero, and T. N. Truong, Phys. Lett. B 235, 129 (1990); J. R. Pelaez, Phys. Rev. D 55, 4193 (1997).
[22] J. R. Pelaez, hep-ph/0307018; hep- ph/0306063.
[23] M. Uehara, hep-ph/0308241.