Structure of the lightest scalar meson from the 1/N{sub c} expansion of Unitarized Chiral Perturbation Theory and Regge Theory

Journal Article · Thu Aug 05 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3483373· OSTI ID:21426436

Ruiz de Elvira, J; Pelaez, J R ^[1]; Pennington, M R; Wilson, D J ^[2]

---

1. Departamento de Fisica Teorica, II (Metodos Matematicos), Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040, Madrid (Spain)
2. Institute for Particle Physics Phenomenology, Physics Department, Durham University, Durham DH1 3LE (United Kingdom)

One-loop unitarized Chiral Perturbation Theory (UChPT) calculations, suggest a different Nc behaviour for the {sigma} or f{sub 0}(600) and {rho}(770) mesons: while the {rho} meson becomes narrower with Nc, as is expected for a q-barq meson, the {sigma} becomes broader, and its contribution to the total cross section is less and less important. On the other hand, local duality requires a cancellation between the {sigma} and {rho} amplitudes, but if there is a different Nc behaviour for them, there is a possible contradiction between the Inverse Amplitude Method (IAM) and local duality for large Nc. However, next to next to leading order UChPT calculations suggested a subdominant q-barq component for the {sigma} with a mass around 1.2 GeV. In this work, we show that this subdominant q-barq component is indeed needed to ensure local duality.

• OSTI ID: 21426436
• Journal Information: AIP Conference Proceedings, Vol. 1257, Issue 1; Conference: HADRON 2009: 13. international conference on hadron spectroscopy, Tallahassee, FL (United States), 29 Nov - 4 Dec 2009; Other Information: DOI: 10.1063/1.3483373; (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
DUALITY
GEV RANGE
MESON-MESON INTERACTIONS
PARTICLE STRUCTURE
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
REGGE CALCULUS
REST MASS
RHO-770 MESONS
SCALAR MESONS
TOTAL CROSS SECTIONS
BOSONS
CROSS SECTIONS
ELEMENTARY PARTICLES
ENERGY RANGE
FIELD THEORIES
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MASS
MESONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SYMMETRY
VECTOR MESONS