Gravitational form factors of pseudoscalar mesons in a contact interaction
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arXiv
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| Format: | Preprint |
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2024
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| author | Sultan, M. Atif Xing, Zanbin Raya, Khépani Bashir, Adnan Chang, Lei |
| author_facet | Sultan, M. Atif Xing, Zanbin Raya, Khépani Bashir, Adnan Chang, Lei |
| contents | 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 {\em strangeonium} $η_s(s\bar{s})$. 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 \textit{D}-term of pseudoscalar mesons and their GFFs can provide an important first step for future endeavors in the field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gravitational form factors of pseudoscalar mesons in a contact interaction Sultan, M. Atif Xing, Zanbin Raya, Khépani Bashir, Adnan Chang, Lei High Energy Physics - Phenomenology 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 {\em strangeonium} $η_s(s\bar{s})$. 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 \textit{D}-term of pseudoscalar mesons and their GFFs can provide an important first step for future endeavors in the field. |
| title | Gravitational form factors of pseudoscalar mesons in a contact interaction |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.10437 |