Work

Gravitational form factors of the pion and meson dominance

Year: 2024

Type: article

Abstract: We show that the recent MIT lattice QCD data for the pion's gravitational form factors are, in the covered momentum transfer range, fully consistent with the meson dominance principle. In particular, the component can be accurately saturated with the meson, whereas the component with the σ meson. To incorporate the large width of the σ , we use the dispersion relation with the spectral density obtained from analyses of the physical pion scattering data. Effects of the pion mass are estimated within Chiral Perturbation Theory and are found to be small between the lattice and the physical point. We also discuss the implications of the perturbative QCD constraints at high momentum transfers, leading to specific sum rules for the spectral densities of the gravitational form factors, and argue that these densities cannot be of definite sign.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2024.139138

Authors: Wojciech Broniowski, Enrique Ruiz Arriola

Institutions: Jan Kochanowski University, Institute of Nuclear Physics, Polish Academy of Sciences

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond