Mesons in nonlocal model with four-dimensional separable kernel
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917136158425088 |
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| author | Friesen, A. Kalinovsky, Yu. Khmelev, A. |
| author_facet | Friesen, A. Kalinovsky, Yu. Khmelev, A. |
| contents | In this work we study the meson properties in the framework of an effective quark model. We start from the Bethe-Salpeter equation choosing the interaction kernel in nonlocal form with the Gaussian meson vertex function, characterized by a meson size parameter $Λ_H$. We demonstrate the model's predictive power by applying it to both light and heavy systems. Key results include a calculation of the $π^0\toγγ$ decay width and the pion transition form factor $F_{πγ}(Q^2)$, which reproduces experimental data from low to high $Q^2$. We further predict the electromagnetic properties of heavy quarkonia, obtaining the two-photon decay widths of $η_c$ and $η_b$ and the radiative decay widths of $J/ψ$ and $Υ$, all of which show consistency with available data and other theoretical approaches. The model provides a computationally efficient and unified framework for describing mesons from the light to heavy quark sectors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24542 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mesons in nonlocal model with four-dimensional separable kernel Friesen, A. Kalinovsky, Yu. Khmelev, A. High Energy Physics - Phenomenology High Energy Physics - Theory In this work we study the meson properties in the framework of an effective quark model. We start from the Bethe-Salpeter equation choosing the interaction kernel in nonlocal form with the Gaussian meson vertex function, characterized by a meson size parameter $Λ_H$. We demonstrate the model's predictive power by applying it to both light and heavy systems. Key results include a calculation of the $π^0\toγγ$ decay width and the pion transition form factor $F_{πγ}(Q^2)$, which reproduces experimental data from low to high $Q^2$. We further predict the electromagnetic properties of heavy quarkonia, obtaining the two-photon decay widths of $η_c$ and $η_b$ and the radiative decay widths of $J/ψ$ and $Υ$, all of which show consistency with available data and other theoretical approaches. The model provides a computationally efficient and unified framework for describing mesons from the light to heavy quark sectors. |
| title | Mesons in nonlocal model with four-dimensional separable kernel |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.24542 |