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Mesons in nonlocal model with four-dimensional separable kernel

2025/05/30 by A. V. Friesen, Friesen, A., Yu. L. Kalinovsky +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2505.24542

openalex publication_date 2025/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

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 ΛH. We demonstrate the model's predictive power by applying it to both light and heavy systems. Key results include a calculation of the π0→γγ decay width and the pion transition form factor Fπγ(Q2), which reproduces experimental data from low to high Q2. We further predict the electromagnetic properties of heavy quarkonia, obtaining the two-photon decay widths of ηc and ηb 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.

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