N{sub c} and m{sub {pi}} dependence of {rho} and {sigma} mesons from unitarized Chiral Perturbation Theory

Journal Article · Tue Dec 28 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3542024· OSTI ID:21511408

Rios, G; Pelaez, J R ^[1]; Hanhart, C ^[2]

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1. Departamento de Fisica Teorica II. Universidad Complutense de Madrid (Spain)
2. Institut fuer Kernphysik and Juelich Center for Hadron Physics, Forschungzentrum Juelich GmbH (Germany)

We review our work on the {rho} and {sigma} resonances derived from the Inverse Amplitude Method. In particular, we study the leading 1/N{sub c} behavior of the resonances masses and widths and their evolution with changing m{sub {pi}}. The 1/N{sub c} expansion gives a clear definition of q-barq states, which is neatly satisfied by the {rho} but not by the {sigma}, showing that its dominant component is not q-barq. The m{sub {pi}} 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}{pi}{pi} coupling constant is m{sub {pi}} independent, in contrast with the {sigma}{pi}{pi} coupling, that shows a strong m{sub {pi}} dependence.

• OSTI ID: 21511408
• Journal Information: AIP Conference Proceedings, Vol. 1322, Issue 1; Conference: International workshop on chiral symmetry in hadrons and nuclei, Valencia (Spain), 21-24 Jun 2010; Other Information: DOI: 10.1063/1.3542024; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CHIRAL SYMMETRY
CHIRALITY
COMPARATIVE EVALUATIONS
COUPLING
COUPLING CONSTANTS
FORECASTING
MASS
MESONS
PERTURBATION THEORY
PIONS
QUANTUM CHROMODYNAMICS
RESONANCE
SIGMA PARTICLES
SYMMETRY BREAKING
BARYONS
BOSONS
ELEMENTARY PARTICLES
EVALUATION
FERMIONS
FIELD THEORIES
HADRONS
HYPERONS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
SIGMA BARYONS
STRANGE PARTICLES
SYMMETRY