Large-N{sub C} properties of the {rho} and f{sub 0}(600) mesons from unitary resonance chiral dynamics
- Instituto de Fisica Corpuscular (IFIC), Centro Mixto Universidad de Valencia-CSIC, Edificio de Institutos de Investigacion de Paterna, Aptdo. 22085, 46071, Valencia (Spain)
- Departamento de Fisica Teorica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Edificio de Institutos de Investigacion de Paterna, Aptdo. 22085, 46071, Valencia (Spain)
- Departamento de Fisica Atomica, Molecular y Nuclear and Instituto Carlos I de Fisica Teorica y Computacional, Universidad de Granada, E-18071 Granada (Spain)
We construct {pi}{pi} amplitudes that fulfill exact elastic unitarity, account for one-loop chiral perturbation theory contributions and include all 1/N{sub C} leading terms, with the only limitation of considering just the lowest-lying nonet of exchanged resonances. Within such a scheme, the N{sub C} dependence of {sigma} and {rho} masses and widths is discussed. Robust conclusions are drawn in the case of the {rho} resonance, confirming that it is a stable meson in the limit of a large number of QCD colors, N{sub C}. Less definitive conclusions are reached in the scalar-isoscalar sector. With the present quality of data, we cannot firmly conclude whether or not the N{sub C}=3 f{sub 0}(600) resonance completely disappears at large N{sub C} or if it has a subdominant component in its structure, which would become dominant for a number of quark colors sufficiently large.
- OSTI ID:
- 21608076
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 84, Issue 9; Other Information: DOI: 10.1103/PhysRevD.84.096002; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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