Work

Gravitational form factors of pseudoscalar mesons in a contact interaction

Year: 2024
Type: article
Abstract: Given the unique role played by the gravitational form factors (GFFs) in unraveling the internal mechanics of hadrons, we examine the GFFs of ground state pseudoscalar mesons π , η c , η b and the hypothetical η s ( s s ¯ ) . We adopt the coupled framework of Dyson-Schwinger and Bethe-Salpeter equations within a contact interaction and employ a novel approach to the dressed amputated meson-meson scattering amplitude, which makes connection with the energy-momentum tensor and with the GFFs. The resulting GFFs fulfill the anticipated symmetry constraints. The corresponding charge and mass radii and the D term are also computed. We show that the D term for the pseudoscalar mesons is bounded within the ( − 1 , − 1 / 3 ) range; these bounds correspond to the massless (chiral limit) and infinitely massive cases, respectively. Considering the current interest in the GFFs, understanding the D term of pseudoscalar mesons and their GFFs can provide an important first step for future endeavors in the field. Published by the American Physical Society 2024
Language: English
Open Access status: hybrid
OpenAlex ID: W4402731687
FWCI: 0.857
Cites: 75
Cited by: 12
Related to: 10