Axial anomaly and the interplay of quark loops with pseudoscalar and vector mesons in the γ∗→π+π0π− process

Benić, Sanjin and Klabučar, Dubravko (2012) Axial anomaly and the interplay of quark loops with pseudoscalar and vector mesons in the γ∗→π+π0π− process. Physical Review D, 85 (3). pp. 34042-11. ISSN 1550-7998

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Abstract

Motivated by the ongoing measurements of the Primakoff process π−γ∗→π−π0 by the COMPASS Collaboration at CERN, the transition form factor for the canonical anomalous process γ∗→π+π0π− is calculated in a constituent quark-loop model. The simplest contribution to this process is the quark “box” amplitude. In the present paper we also explicitly include the vector meson degrees of freedom, i.e., the ρ and the ω, thus giving rise to additional, resonant contributions. We find that in order to satisfy the axial anomaly result, a further subtraction in the resonant part is needed. The results are then compared with the vector meson dominance model as well as the Dyson-Schwinger calculations, the chiral perturbation theory result, and the available data.

Item Type: Article
Keywords: constituent quark, axial anomaly, transition form factor, pion, pseudoscalar meson, vector meson
Date: February 2012
Subjects: NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Additional Information: Copyright (2012) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119-0982930-1016
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 03 Jun 2014 12:40
Last Modified: 23 Feb 2016 16:12
URI: http://digre.pmf.unizg.hr/id/eprint/2172

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