Publication: Chiral perturbation theory, the 1/N_c expansion and Regge behavior determine the structure of the lightest scalar meson
Loading...
Official URL
Full text at PDC
Publication Date
2011-11-09
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Physical Soc
Citations
Exportar
Abstract
The leading 1=N_c behavior of unitarized chiral perturbation theory distinguishes the nature of the ρ and the : The is a qq̅ meson, while the σ is not. However, semilocal duality between resonances and Regge behavior cannot be satisfied for larger N_c, if such a distinction holds. While the σ at N_c = 3 is inevitably dominated by its di-pion component, unitarized chiral perturbation theory also suggests that as N_c increases above 6–8, the σ may have a subdominant qq̅ fraction up at 1.2 GeV. Remarkably this ensures semilocal duality is fulfilled for the range of Nc ≤ 15–30, where the unitarization procedure adopted applies.
Description
©2011 American Physical Society.
M. R. P is grateful to Bob Jaffe for discussions about the issues raised at the start of this study. The authors (J. R. de E, M. R. P and D. J. W) acknowledge partial support of the EU-RTN Programme, Contract No. MRTN–CT-2006-035482, ‘‘Flavianet’’ for this work, while at the IPPP in Durham. D. J. W is grateful to the UK STFC for the award of a postgraduate studentship and to Jefferson Laboratory for hospitality while this work was completed. This work was supported in part by DOE Contract No. DE-AC05-06OR23177, under which Jefferson Science Associates, LLC, operates Jefferson Laboratory.
UCM subjects
Unesco subjects
Keywords
Citation
[1] R. L. Jaffe, Phys. Rev. D 15, 267 (1977).
[2] G. ’t Hooft, Nucl. Phys. B72, 461 (1974); E. Witten, Ann. Phys. (N.Y.) 128, 363 (1980).
[3] R. Dolen, D. Horn, and C. Schmid, Phys. Rev. Lett. 19, 402 (1967); Phys. Rev. 166, 1768 (1968).
[4] C. Schmid, Phys. Rev. Lett. 20, 628 (1968); 20, 689 (1968).
[5] S. Donnachie, H. G. Dosch, O. Nachtmann, and P. Landshoff, Cambridge Monogr. Part. Phys., Nucl. Phys., Cosmol. 19, 1 (2002).
[6] K. Shiga, K. Kinoshita, and F. Togoda, Nucl. Phys. B24, 490 (1970).
[7] G. Veneziano, Nuovo Cimento A 57, 190 (1968).
[8] C. Schmid and J. Yellin, Phys. Rev. 182, 1449 (1969); T. Eguchi and K. Igi, Phys. Lett. 40B, 245 (1972).
[9] M. R. Pennington, AIP Conf. Proc. 1257, 27 (2010).
[10] P. Minkowski and W. Ochs, Eur. Phys. J. C 9, 283 (1999).
[11] G. Mennessier, S. Narison, and W. Ochs, Phys. Lett. B 665, 205 (2008); Nucl. Phys. Proc. Suppl. 181–182, 238 (2008).
[12] S. Weinberg, Physica A (Amsterdam) 96, 327 (1979); J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); Nucl. Phys. B250, 465 (1985).
[13] T. N. Truong, Phys. Rev. Lett. 61, 2526 (1988); 67, 2260 (1991); A. Dobado et al., Phys. Lett. B 235, 134 (1990).
[14] A. Dobado and J. R. Peláez, Phys. Rev. D 47, 4883 (1993).
[15] A. Dobado and J. R. Pela´ez, Phys. Rev. D 56, 3057 (1997).
[16] J. A. Oller and E. Oset, Nucl. Phys. A620, 438 (1997); A652, 407 (1999); J. A. Oller, E. Oset, and J. R. Peláez, Phys. Rev. Lett. 80, 3452 (1998); Phys. Rev. D 59, 074001 (1999); 60, 099906(E) (1999); 75, 099903(E) (2007); 62, 114017 (2000); J. Nieves and E. Ruiz Arriola, Phys. Lett. B 455, 30 (1999); F. Guerrero and J. A. Oller, Nucl. Phys. B B537, 459 (1999); B602, 641 (2001).
[17] J. A. Oller and E. Oset, Phys. Rev. D 60, 074023 (1999).
[18] A. Gomez Nicola and J. R. Peláez, Phys. Rev. D 65, 054009 (2002); J. R. Pela´ez and G. Rios, arXiv:0905.4689.
[19] J. Nieves, M. Pavon Valderrama, and E. Ruiz Arriola, Phys. Rev. D 65, 036002 (2002).
[20] A. Gomez Nicola, J. R. Peláez, and G. Rios, Phys. Rev. D 77, 056006 (2008).
[21] J. Bijnens, G. Colangelo, G. Ecker, J. Gasser, and M. E. Sainio, Nucl. Phys. B508, 263 (1997); B517, 639(E) (1998).
[22] S. Peris and E. de Rafael, Phys. Lett. B 348, 539 (1995).
[23] J. R. Peláez, Phys. Rev. Lett. 92, 102001 (2004).
[24] J. R. Peláez and G. Rios, Phys. Rev. Lett. 97, 242002 (2006).
[25] V. D. Barger and D. B. Cline, Phenomenological Theories of High Energy Scattering (W.A. Benjamin, New York, 1969).
[26] C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008).
[27] A. Donnachie and P. V. Landshoff, Nucl. Phys. B267, 690 (1986).
[28] J. R. Cudell et al. (COMPETE Collaboration), Phys. Rev. D 65, 074024 (2002).
[29] R. Kaminski, J. R. Peláez, and F. J. Yndurain, Phys. Rev. D 77, 054015 (2008).
[30] W. Rarita, R. J. Riddell, C. Chiu, and R. J. N. Phillips, Phys. Rev. 165, 1615 (1968).
[31] J. R. Peláez and F. J. Yndurain, Phys. Rev. D 69, 11401 (2004).
[32] M. R. Pennington, Ann. Phys. (N.Y.) 92, 164 (1975).
[33] G. Colangelo, J. Gasser, and H. Leutwyler, Nucl. Phys. B603, 125 (2001).
[34] R. García-Martin, R. Kaminski, J. R. Pelaez, J. Ruiz de Elvira, and F. J. Yndurain, Phys. Rev. D 83, 074004 (2011).
[35] J. R. Batley et al. (NA48-2 Collaboration), Eur. Phys. J. C 70, 635 (2010). [36] J. R. Peláez, Mod. Phys. Lett. A 19, 2879 (2004).
[37] J. F. Donoghue, C. Ramirez, and G. Valencia, Phys. Rev. D 39, 1947 (1989); G. Ecker, J. Gasser, A. Pich, and E. de Rafael, Nucl. Phys. B321, 311 (1989).
[38] J. R. Pelaez, J. Nebreda, and G. Rios, Prog. Theor. Phys. Suppl. 186, 113 (2010); J. R. Pelaez and G. Rios, Acta Phys. Polon. Suppl. 2, 215 (2009); J. R. Pelaez, arXiv:hepph/0509284; in Proceedings of the 11th International Conference on Elastic and Diffractive Scattering, Blois, France, 2005 (The Gioi Publishers, Hanoi, Vietnam, 2005).
[39] Z.-H. Guo and J. A. Oller, Phys. Rev. D 84, 034005 (2011).
[40] Z. X. Sun, L. Y. Xiao, Z. Xiao, and H. Q. Zheng, Mod. Phys. Lett. A 22, 711 (2007); E. van Beveren and G. Rupp, Eur. Phys. J. C 2, 493 (2001).
[41] E. van Beveren, T. A. Rijken, K. Metzger, C. Dullemond, G. Rupp, and J. E. Ribeiro, Z. Phys. C 30, 615 (1986); E. van Beveren, D. V. Bugg, F. Kleefeld, and G. Rupp, Phys. Lett. B 641, 265 (2006).
[42] R. L. Jaffe, in Proceedings of the International Symposium on Lepton and Photon Interactions at High Energies (University of Bonn, Germany, 1981); M. Harada, F. Sannino, and J. Schechter Phys. Rev. D 69, 034005 (2004).
[43] D. Black, A. H. Fariborz, F. Sannino, and J. Schechter, Phys. Rev. D 59, 074026 (1999); L. Maiani, F. Piccinini, A. D. Polosa, and V. Riquer, Phys. Rev. Lett. 93, 212002 (2004); F. Giacosa, Phys. Rev. D 75, 054007 (2007).
[44] F. E. Close and N. A. Tornqvist, J. Phys. G 28, R249 (2002).
[45] F. J. Llanes-Estrada, J. R. Pelaez, and J. Ruiz de Elvira, Nucl. Phys. Proc. Suppl. 207–208, 169 (2010).
[46] A. H. Fariborz, R. Jora, and J. Schechter, Phys. Rev. D 79, 074014 (2009); arXiv:0902.2825; A. H. Fariborz, R. Jora, J. Schechter, and M. N. Shahid, arXiv:1106.4538.
[47] N. A. Tornqvist, Z. Phys. C 68, 647 (1995).