Electromagnetic Interactions of Mesons and the πa1 Diagonalization
- Authors: Osipov A.A.1
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Affiliations:
- Joint Institute for Nuclear Research
- Issue: Vol 108, No 3 (2018)
- Pages: 161-164
- Section: Fields, Particles, and Nuclei
- URL: https://journals.rcsi.science/0021-3640/article/view/161205
- DOI: https://doi.org/10.1134/S0021364018150092
- ID: 161205
Cite item
Abstract
It has been demonstrated that, contrary to the commonly accepted viewpoint, electromagnetic interactions cannot be consistently included in the Nambu–Jona-Lasinio model within vector meson dominance. This refers to the procedure for removing the πa1 transition in the effective meson Lagrangian. By the example of the a1(1260)→γπ+π- radiative decay, it has been demonstrated that the gauge invariance condition for the amplitude gives rise to an electromagnetic vertex describing the direct emission of a photon and a pion by a quark–antiquark pair. Surface terms appearing in the calculation of an anomalous triangular quark diagram, where one of the vertices is the interaction violating the vector-dominance hypothesis, play a key role in satisfying the Ward identities.
About the authors
A. A. Osipov
Joint Institute for Nuclear Research
Author for correspondence.
Email: aaosipov@jinr.ru
Russian Federation, Dubna, Moscow region, 141980
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