Η → π⁰ ϒ ϒ decay within a chiral unitary approachη

We improve the calculations of the η→π⁰ϒϒ decay within the context of meson chiral Lagrangians. We use a chiral unitary approach for the meson-meson interaction, thus generating the a₀(980) resonance and fixing the long standing sign ambiguity on its contribution. This also allows us to calculate th...

Full description

Bibliographic Details
Authors: Oset, E., Peláez Sagredo, José Ramón, Roca, L.
Format: article
Publication Date:2003
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/51740
Online Access:https://hdl.handle.net/20.500.14352/51740
Access Level:Open access
Keyword:51-73
Photon-photon collisions
Jona-lasinio model
Perturbation-theory
Radiative decay
Njl model
One-loop
Meson
ϒ-ϒ->π π₀
Symmetry
η->π-0-ϒ-ϒ
Física-Modelos matemáticos
Física matemática
Description
Summary:We improve the calculations of the η→π⁰ϒϒ decay within the context of meson chiral Lagrangians. We use a chiral unitary approach for the meson-meson interaction, thus generating the a₀(980) resonance and fixing the long standing sign ambiguity on its contribution. This also allows us to calculate the loops with one vector meson exchange, thus removing a former source of uncertainty. In addition we ensure the consistency of the approach with other processes, first, by using vector meson dominance couplings normalized to agree with radiative vector meson decays and, second, by checking the consistency of the calculations with the related ϒ ϒ → π⁰η reaction. We find an η→π⁰ ϒϒ decay width of 0.47 ± 0.10 eV, in clear disagreement with published data but in remarkable agreement with the most recent measurement.