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

Klabučar, Dubravko and Kekez, Dalibor (1998) η and η′ in a coupled Schwinger-Dyson and Bethe-Salpeter approach. Physical Review D, 58 (9). pp. 6003-6016. ISSN 1550-7998

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Abstract

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.

Item Type: Article
Keywords: non-perturbative QCD, hadronic structure, axial anomaly, two-photon processes, pseudoscalar mesons, chiral symmetry breaking, quark models
Date: September 1998
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (1998) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119222
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 14 May 2014 16:32
Last Modified: 20 Oct 2014 15:26
URI: http://digre.pmf.unizg.hr/id/eprint/1312

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