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arXiv · 2304.14887

A contact interaction model for the $\eta$ and $\eta'$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors

Bilgai Almeida Zamora·Enrique Carreon Martínez·Jorge Segovia·J. J. Cobos-Martínez
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Abstract

We construct a contact interaction model for the $\eta$ and $\eta'$ mesons in the SDE-BSE approach to QCD and compute several static properties of these mesons and their transition form factors. We find that this model gives an excellent description of the $\eta$ and $\eta'$ static properties, namely their masses, decay width and decay constants. However, a contact interaction disagrees with experimental data for $Q^2$ greater than 2 GeV$^2$, and produces transition form factors in conflict with perturbative QCD prediction. This is not surpring and the reasons for this are explained

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Bilgai Almeida Zamora, Enrique Carreon Martínez, Jorge Segovia, J. J. Cobos-Martínez. 2023-04-28. A contact interaction model for the $\eta$ and $\eta'$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors. https://doi.org/10.1103/physrevd.107.114031

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