The Electromagnetic Form Factors of Pseudoscalar Mesons within the Light-Front Quark Model

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Hauptverfasser: Xu, Shuai, Li, Xiao-Nan, Wu, Xing-Gang
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Veröffentlicht: 2025
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author Xu, Shuai
Li, Xiao-Nan
Wu, Xing-Gang
author_facet Xu, Shuai
Li, Xiao-Nan
Wu, Xing-Gang
contents In this paper, we investigate the electromagnetic form factors (EMFFs) and charge radii of pseudoscalar mesons within the light-front quark model (LFQM). Using parameters derived from the confinement of mesonic decay constants, we obtain numerical results, which indicate the following: (i) The EMFFs of charged and neutral mesons exhibit significant differences in their endpoint behaviors but show similar asymptotic behavior in the high momentum transfer ($Q^2$) regions. For the EMFFs of light mesons such as $π$ and $K^+$, our results are in excellent agreement with experimental data in the low $Q^2$ regions. For the charge radii of mesons, our results also show rough consistency with predictions from other approaches. (ii) For charged mesons, the peak values of $Q^2 F_P(Q^2)$ are approximately proportional to the mass difference $Δm$ between their constituent quarks. Moreover, the mean square radii $\left\langle r^2 \right\rangle_P$ of charged mesons decrease with increasing meson mass and decreasing $Δm$. For neutral mesons, their charge radii are primarily determined by the electric charge of the heavy quark. These results indicate that quark mass asymmetry significantly influences the behavior of the EMFFs and charge radii of mesons. Experimental data to test these predictions would thus be of great interest.
format Preprint
id arxiv_https___arxiv_org_abs_2507_07523
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Electromagnetic Form Factors of Pseudoscalar Mesons within the Light-Front Quark Model
Xu, Shuai
Li, Xiao-Nan
Wu, Xing-Gang
High Energy Physics - Phenomenology
In this paper, we investigate the electromagnetic form factors (EMFFs) and charge radii of pseudoscalar mesons within the light-front quark model (LFQM). Using parameters derived from the confinement of mesonic decay constants, we obtain numerical results, which indicate the following: (i) The EMFFs of charged and neutral mesons exhibit significant differences in their endpoint behaviors but show similar asymptotic behavior in the high momentum transfer ($Q^2$) regions. For the EMFFs of light mesons such as $π$ and $K^+$, our results are in excellent agreement with experimental data in the low $Q^2$ regions. For the charge radii of mesons, our results also show rough consistency with predictions from other approaches. (ii) For charged mesons, the peak values of $Q^2 F_P(Q^2)$ are approximately proportional to the mass difference $Δm$ between their constituent quarks. Moreover, the mean square radii $\left\langle r^2 \right\rangle_P$ of charged mesons decrease with increasing meson mass and decreasing $Δm$. For neutral mesons, their charge radii are primarily determined by the electric charge of the heavy quark. These results indicate that quark mass asymmetry significantly influences the behavior of the EMFFs and charge radii of mesons. Experimental data to test these predictions would thus be of great interest.
title The Electromagnetic Form Factors of Pseudoscalar Mesons within the Light-Front Quark Model
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2507.07523