Imaging the charge distributions of flavor-symmetric and -asymmetric mesons

Fuente: arXiv
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Main Authors: Xu, Yin-Zhen, Bashir, Adnan, Raya, Khépani, Rodríguez-Quintero, José, Segovia, Jorge
Format: Preprint
Published: 2025
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author Xu, Yin-Zhen
Bashir, Adnan
Raya, Khépani
Rodríguez-Quintero, José
Segovia, Jorge
author_facet Xu, Yin-Zhen
Bashir, Adnan
Raya, Khépani
Rodríguez-Quintero, José
Segovia, Jorge
contents We investigate the internal structure of a comprehensive set of pseudoscalar and vector mesons, including both flavor-symmetric and flavor-asymmetric systems, by reconstructing their charge distributions from electromagnetic form factors. To achieve this, we employ a Maximum Entropy Method optimized for charge distributions, utilizing previously published form factor data obtained within the Dyson-Schwingers and Bethe-Salpeter equations framework. Furthermore, we calculate the average distance between the valence quark and antiquark that constitute the meson, interpreting it as an estimate for both the meson's spatial size and the typical range of quark motion. Our results reveal that this distance for the lightest quarkonia is approximately five times larger than that for the heaviest. Moreover, due to spin effects, vector mesons exhibit sizes that are 5-15\% larger than their pseudoscalar counterparts.
format Preprint
id arxiv_https___arxiv_org_abs_2506_17993
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Imaging the charge distributions of flavor-symmetric and -asymmetric mesons
Xu, Yin-Zhen
Bashir, Adnan
Raya, Khépani
Rodríguez-Quintero, José
Segovia, Jorge
High Energy Physics - Phenomenology
We investigate the internal structure of a comprehensive set of pseudoscalar and vector mesons, including both flavor-symmetric and flavor-asymmetric systems, by reconstructing their charge distributions from electromagnetic form factors. To achieve this, we employ a Maximum Entropy Method optimized for charge distributions, utilizing previously published form factor data obtained within the Dyson-Schwingers and Bethe-Salpeter equations framework. Furthermore, we calculate the average distance between the valence quark and antiquark that constitute the meson, interpreting it as an estimate for both the meson's spatial size and the typical range of quark motion. Our results reveal that this distance for the lightest quarkonia is approximately five times larger than that for the heaviest. Moreover, due to spin effects, vector mesons exhibit sizes that are 5-15\% larger than their pseudoscalar counterparts.
title Imaging the charge distributions of flavor-symmetric and -asymmetric mesons
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2506.17993