Publication: Enhanced non-quark-antiquark and non-glueball N-c behavior of light scalar mesons
Loading...
Official URL
Full text at PDC
Publication Date
2011-10-04
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Physical Soc
Citations
Exportar
Abstract
We show that the latest and very precise dispersive data analyses require a large and very unnatural finetuning of the 1/N_c expansion at N_c = 3if the f_o(600) and K(800) light scalar mesons are to be considered predominantly q̅q states, which is not needed for light vector mesons. For this, we use scattering observables whose 1/N_c corrections are suppressed further than one power of 1/N_c for q̅q or glueball states, thus enhancing contributions of other nature. This is achieved without using unitarized ChPT, but if it is used we can also show that it is not just that the coefficients of the 1/N_c expansion are unnatural, but that the expansion itself does not even follow the expected 1/N_c scaling of a glueball or a q̅q meson.
Description
©2011 American Physical Society.
We thank J. Nieves and E. Ruiz-Arriola for useful discussions, checks and suggestions and B. Mussallam for the results of his Roy-Steiner dispersive analysis of the K(800) channel.
UCM subjects
Unesco subjects
Keywords
Citation
[1] M. H. Johnson and E. Teller, Phys. Rev. 98, 783 (1955).
[2] G. Ecker, J. Gasser, A. Pich, and E. de Rafael, Nucl. Phys. B321, 311 (1989); J. F. Donoghue, C. Ramirez, and G. Valencia, Phys. Rev. D 39, 1947 (1989).
[3] S. Weinberg, Physica A (Amsterdam) 96, 327 (1979); J. Gasser and H. Leutwyler, Ann. Phys. (Leipzig) 158, 142 (1984); Nucl. Phys. B250, 465 (1985).
[4] R. L. Jaffe, Phys. Rev. D 15, 267 (1977); AIP Conf. Proc. 964, 1 (2007); Prog. Theor. Phys. Suppl. 168, 127 (2007); R. L. Jaffe and F. E. Low, Phys. Rev. D 19, 2105 (1979); J. D. Weinstein and N. Isgur, Phys. Rev. Lett. 48, 659 (1982); Phys. Rev. D 27, 588 (1983); 41, 2236 (1990); G. Janssen, B. C. Pearce, K. Holinde, and J. Speth, Phys. Rev. D 52, 2690 (1995); N. N. Achasov and V. V. Gubin, Phys. Rev. D 56, 4084 (1997); Yad. Fiz. 65, 1566 (2002) [Phys. At. Nucl. 65, 1528 (2002)]; P. Minkowski and W. Ochs, Eur. Phys. J. C 9, 283 (1999); J. A. Oller and E. Oset, Nucl. Phys. A 620, 438 (1997); 652, 407(E) (1999); E. van Beveren and G. Rupp, Eur. Phys. J. C 22, 493 (2001); J. Vijande, A. Valcarce, F. Fernandez, and B. Silvestre-Brac, Phys. Rev. D 72, 034025 (2005); T. Hyodo, D. Jido, and T. Kunihiro, Nucl. Phys. A848, 341 (2010); R. Kaminski, G. Mennessier, and S. Narison, Phys. Lett. B 680, 148 (2009).H. Forkel, Phys. Lett. B 694, 252 (2010).
[5] G. ’t Hooft, Nucl. Phys. B75, 461 (1974); E. Witten, Ann. Phys. (Leipzig) 128, 363 (1980).
[6] J. R. Pelaez, Phys. Rev. Lett. 92, 102001 (2004).
[7] J. R. Pelaez and G. Rios, Phys. Rev. Lett. 97, 242002 (2006).
[8] J. Nieves and E. Ruiz Arriola, Phys. Lett. B 679, 449 (2009).
[9] Note our tðsÞ has an opposite sign compared to that in [8].
[10] Note the corrected sign in front of 0 which nevertheless does not affect the results in [8].
[11] R. Garcia-Martin, et al., Phys. Rev. D 83, 074004 (2011).
[12] R. Garcia-Martin, R. Kaminski, J. R. Pelaez, and J. Ruiz de Elvira, Phys. Rev. Lett. 107, 072001 (2011).
[13] J. R. Batley et al. (NA48-2 Collaboration), Eur. Phys. J. C 70, 635 (2010).
[14] S. Descotes-Genon and B. Moussallam, Eur. Phys. J. C 48, 553 (2006).
[15] T. N. Truong, Phys. Rev. Lett. 61, 2526 (1988); 67, 2260 (1991); A. Dobado et al., Phys. Lett. B 235, 134 (1990); A. Dobado and J. R. Pela´ez, Phys. Rev. D 47, 4883 (1993); 56, 3057 (1997).
[16] F. J. Llanes-Estrada, J. R. Pelaez, and J. Ruiz de Elvira, Nucl. Phys. B, Proc. Suppl. 207–208, 169 (2010).
[17] R. L. Jaffe, Proceedings of the International Symposium on Lepton and Photon Interactions at High Energies, Physikalisches Institut (University of Bonn, Bonn, 1981), ISBN 3-9800625-0-3.
[18] For some preliminary attempts at disentangling the composition of light scalars using their leading 1/N_c behavior we refer the reader to [16].
[19] A. A. Andrianov, Phys. Lett. B 157, 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).
[20] J. Nebreda, J. R. Pelaez, and G. Rios, Phys. Rev. D 83, 094011 (2011).
[21] J. R. Pelaez and G. Rios, Phys. Rev. D 82, 114002 (2010).
[22] J. Nebreda and J. R. Pelaez, Phys. Rev. D 81, 054035 (2010).
[23] A. Gomez Nicola and J. R. Pelaez, Phys. Rev. D 65, 054009 (2002).
[24] G. Colangelo, J. Gasser, and H. Leutwyler, Nucl. Phys. B603, 125 (2001); B. Ananthanarayan, G. Colangelo, J. Gasser, and H. Leutwyler, Phys. Rep. 353, 207 (2001).