Charge distributions of pseudo-scalar and vector mesons from Dyson-Schwinger equations

Fuente: arXiv
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Autori principali: Xu, Y. -Z., Raya, K., Segovia, J., Rodríguez-Quintero, J.
Natura: Preprint
Pubblicazione: 2024
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author Xu, Y. -Z.
Raya, K.
Segovia, J.
Rodríguez-Quintero, J.
author_facet Xu, Y. -Z.
Raya, K.
Segovia, J.
Rodríguez-Quintero, J.
contents We combine the Dyson-Schwinger/Bethe-Salpeter equations framework with modern numerical reconstruction methods to derive the three-dimensional and transverse two-dimensional charge distribution of an array of ground-state pseudoscalar and vector mesons from their elastic electromagnetic form factor in the low-momentum region. The charge radii obtained by averaging over the reconstructed charge distributions have been checked to be consistent with those calculated from the slope of the elastic electromagnetic form factor at zero transferred momentum. The capability of the reconstruction procedure for capturing a reliable low-distance charge distribution is discussed and argued to work down to distances of around 0.1 fm, such that it might be potentially applied to extract, {\it e.g.}, mass densities from gravitational form factors.
format Preprint
id arxiv_https___arxiv_org_abs_2406_13306
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Charge distributions of pseudo-scalar and vector mesons from Dyson-Schwinger equations
Xu, Y. -Z.
Raya, K.
Segovia, J.
Rodríguez-Quintero, J.
High Energy Physics - Phenomenology
We combine the Dyson-Schwinger/Bethe-Salpeter equations framework with modern numerical reconstruction methods to derive the three-dimensional and transverse two-dimensional charge distribution of an array of ground-state pseudoscalar and vector mesons from their elastic electromagnetic form factor in the low-momentum region. The charge radii obtained by averaging over the reconstructed charge distributions have been checked to be consistent with those calculated from the slope of the elastic electromagnetic form factor at zero transferred momentum. The capability of the reconstruction procedure for capturing a reliable low-distance charge distribution is discussed and argued to work down to distances of around 0.1 fm, such that it might be potentially applied to extract, {\it e.g.}, mass densities from gravitational form factors.
title Charge distributions of pseudo-scalar and vector mesons from Dyson-Schwinger equations
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2406.13306