Publication: N_c and m_π dependence of ρ and σ mesons from unitarized Chiral Perturbation Theory
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2010
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American Institute of Physics
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We review our work on the ρ and σ resonances 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/Nc expansion gives a clear definition of ¯qq states, which is neatly satisfied by the ρ but not by the σ, showing that its dominant component is not ¯qq. 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 ρππ coupling constant is mπ independent, in contrast with the σππ coupling, that shows a strong m_π dependence.
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©Amer Inst Physics.
ISSN: 0094-243X
International Workshop on Chiral Symmetry in Hadrons and Nuclei (2010. Valencia).
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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.