Quark loop calculation of the γ-> 3π form factor

Bistrović, Bojan and Klabučar, Dubravko (2000) Quark loop calculation of the γ-> 3π form factor. Physical Review D, 61 (3). pp. 33006-1. ISSN 1550-7998

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The presently experimentally interesting form factor for the anomalous process γ⃗ π+π0π- is calculated as the quark “box” amplitude where the intermediate fermion loop is the one of constituent quarks with the pseudoscalar coupling to pions. This also corresponds to the form factor, in the lowest order in pion interactions, of the σ model and of the chiral quark model. We give the analytic expression for the form factor in terms of an expansion in the pion momenta up to the order O(p8) relative to the soft point result, and also perform its exact numerical evaluation. We compare our predictions with those of vector meson dominance and chiral perturbation theory, as well as with the scarce data available so far.

Item Type: Article
Keywords: axial anomaly, quark loops, box graph, constituent quarks
Date: 2000
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2000) 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: 10 May 2014 19:07
Last Modified: 20 Oct 2014 15:24
URI: http://digre.pmf.unizg.hr/id/eprint/1155

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