η and η′ in a coupled Schwinger-Dyson and Bethe-Salpeter approach

Scientific paper - Original scientific paper

• Author: Dubravko Klabučar
• Author: Dalibor Kekez
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

Extending our earlier treatments of π0,ηc, and ηb, we study the η−η′ system and its γγ decays using a model which is a leading version of the consistently coupled Schwinger-Dyson (SD) and Bethe-Salpeter (BS) approaches. The electromagnetic interactions are incorporated through a (generalized) impulse approximation consistent with this bound-state approach, so that the Ward-Takahashi identities of QED are preserved when quarks are dynamically dressed. To overcome some of the limitations due to the ladder approximation, we introduce a minimal extension to the bound-state approach employed, so that the UA(1) problem is avoided. Pointing out which of our predictions hold in the coupled SD-BS approach in general, and which are the consequences of the specific, chosen model, we present the results for the axial-current decay constants of η8, η0, and of their physical combinations η and η′, the results for the γγ-decay constants of η0 and η8, for the two-photon decay widths of η and η′, and for the mixing-independent R ratio constructed from them.

• Keywords (english): non-perturbative QCD, hadronic structure, axial anomaly, two-photon processes, pseudoscalar mesons, chiral symmetry breaking, quark models
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review D, Particles and fields
• Numbering: vol. 58, no. 9, pp. 6003-6016
• p-ISSN: 0556-2821
• DOI: https://doi.org/10.1103/PhysRevD.58.096003
• URN:NBN: urn:nbn:hr:217:780577
• Publication: 1998
• Document URL: http://link.aps.org/doi/10.1103/PhysRevD.58.096003
• Type of resource: Text
• Access conditions: Open access
• Public note: Copyright (1998) by the American Physical Society.
• Created on: 2019-10-06 20:19:57