Chiral perturbation theory, the 1/N{sub c} expansion and Regge behavior determine the structure of the lightest scalar meson

Journal Article · Tue Nov 01 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.096006· OSTI ID:21608080

Pelaez, J R; Ruiz de Elvira, J ^[1]; Pennington, M R ^[2]; Wilson, D J ^[3]

---

1. Departamento de Fisica Teorica II, Universidad Complutense de Madrid, 28040 Madrid (Spain)
2. Theory Center, Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States)
3. Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)

The leading 1/N{sub c} behavior of unitarized chiral perturbation theory distinguishes the nature of the {rho} and the {sigma}: The {rho} is a qq meson, while the {sigma} is not. However, semilocal duality between resonances and Regge behavior cannot be satisfied for larger N{sub c}, if such a distinction holds. While the {sigma} at N{sub c}=3 is inevitably dominated by its di-pion component, unitarized chiral perturbation theory also suggests that as N{sub c} increases above 6-8, the {sigma} may have a subdominant qq fraction up at 1.2 GeV. Remarkably this ensures semilocal duality is fulfilled for the range of N{sub c} < or approx. 15-30, where the unitarization procedure adopted applies.

• OSTI ID: 21608080
• Journal Information: Physical Review. D, Particles Fields, Vol. 84, Issue 9; Other Information: DOI: 10.1103/PhysRevD.84.096006; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
DUALITY
EXPANSION
GEV RANGE 01-10
PERTURBATION THEORY
PIONS
RESONANCE
SCALAR MESONS
BOSONS
ELEMENTARY PARTICLES
ENERGY RANGE
GEV RANGE
HADRONS
MESONS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS