Publication:
M_(π) and N_c dependence of resonances form Unitarized Chiral Perturbation Theory

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2011
Authors
Rios, G.
Hanhart, Christoph
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Inst Physics
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
We review our studies on the ρ and σ resonances properties derived from the Inverse Amplitude Method. In particular, we study the leading 1/N_c behavior of the resonances masses and widths and their evolution with changing m_(π). The 1/N_c expansion gives a clear definition of q̅ q states, which is neatly satisfied by the ρ but not by the σ, showing that its dominant component is not q̅q. The m_(π) dependence of the resonance properties is relevant to connect with lattice studies. We show that our predictions compare well with some lattice results and we find that the rho π πcoupling constant is m_π independent, in contrast with the σ π π coupling, that shows a strong m_π dependence.
Description
ISSN: 0094-243X © 2011 American Institute of Physics 978-0-7354-0934-7. International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2010) (12. 2011. New York).
Unesco subjects
Keywords
Citation
1. S. Weinberg, Physica A96 (1979) 327. J. Gasser and H. Leutwyler, Annals Phys. 158 (1984) 142; 2. G. ’t Hooft, Nucl. Phys. B 72, 461 (1974). E. Witten, Annals Phys. 128, 363 (1980). 3. T. N. Truong, Phys. Rev. Lett. 61 (1988) 2526. Phys. Rev. Lett. 67, (1991) 2260; A. Dobado et al., Phys. Lett. B235 (1990) 134. 4. A. Dobado and J. R. Peláez, Phys. Rev. D 47 (1993) 4883; Phys. Rev. D 56 (1997) 3057. 5. F. Guerrero and J. A. Oller, Nucl. Phys. B 537 (1999) 459 [Erratum-ibid. B 602 (2001) 641]. J. R. Peláez, Mod. Phys. Lett. A 19, 2879 (2004) A. Gómez Nicola and J. R. Peláez, Phys. Rev. D 65 (2002) 054009 and AIP Conf. Proc. 660 (2003) 102. 6. A. Gómez Nicola, J.R. Peláez and G. Ríos, Phys. Rev. D 77 (2008) 056006. 7. J. R. Pelaez, Phys. Rev. Lett. 92, 102001 (2004) 8. J. R. Pelaez and G. Rios, Phys. Rev. Lett. 97, 242002 (2006) 9. J. R. Pelaez and G. Rios, arXiv:0905.4689 [hep-ph]. 10. C. Hanhart, J. R. Pelaez and G. Rios, Phys. Rev. Lett. 100, 152001 (2008) 11. D. Morgan, Nucl. Phys. A 543 (1992) 632; D. Morgan and M. R. Pennington, Phys. Rev. D 48 (1993) 1185. 12. E. van Beveren et al., AIP Conf. Proc. 660, 353 (2003); Phys. Rev. D 74, 037501 (2006). 13. D. Fernandez-Fraile, A. Gomez Nicola and E. T. Herruzo, Phys. Rev. D 76, 085020 (2007) 14. Ph. Boucaud et al. [ETM Collaboration], Phys. Lett. B 650, 304 (2007) C. Allton et al. [RBC and UKQCD Collaborations], Phys. Rev. D 76, 014504 (2007) C. W. Bernard et al.,Phys. Rev. D 64, 054506 (2001) C. R. Allton et al.Phys. Lett. B 628, 125 (2005) M. Gockeler et al.[QCDSF Collaboration], [arXiv:hep-lat/0810.5337]. 15. P. C. Bruns and U.-G. Meißner, Eur. Phys. J. C 40 (2005) 97.