@misc{10481/106784,
year = {2025},
month = {9},
url = {https://hdl.handle.net/10481/106784},
abstract = {We analyze the gravitational form factors and mechanical properties of the nucleon, focusing both on
some general issues, as well as on modeling with meson dominance. We show that the lattice QCD results
for the nucleon gravitational form factors at mπ ¼ 170 MeV, available for spacelike momentum transfer
squared up to 2 GeV, are explained in a natural way within the meson dominance approach. We carry out
the proper Raman spin decomposition of the energy-momentum tensor and in each spin channel use a
minimum number of resonances consistent with the perturbative QCD short-distance constraints. These
constraints are related to the superconvergence sum rules, following from the asymptotic perturbative QCD
falloff of the form factors. The value of the nucleon D-term following from the fits is −3.0ð4Þ. Next, we
obtain the two-dimensional transverse gravitational densities of the nucleon in the transverse coordinate b.
With the superconvergence sum rules, we derive new sum rules for these densities at the origin and for their
derivatives, involving logarithmic weighting in the corresponding spectral density integrals. From analysis
of the threshold behavior in the timelike region and the properties of the ππ → NN¯ reaction, we infer the
behavior of the transverse densities at asymptotically large coordinates. We also carry out the meson
dominance analysis of the two- and three-dimensional mechanical properties of the nucleon (the pressure
and stress) and explore their connection to the spectral densities via dispersion relations.},
organization = {Spanish MINECO y European FEDER},
organization = {MCIN/AEI
(PID2023-147072NB-I00)},
organization = {Junta de Andalucía
(FQM-225)},
publisher = {American Physical Society},
title = {Gravitational form factors and mechanical properties of the nucleon in a meson dominance approach},
doi = {10.1103/ylml-mrlh},
author = {Broniowski, Wojciech and Ruiz Arriola, Enrique},
}