Abstract
The $\rho$ meson gravitational form factors are studied based on a light-front constituent quark model which has been successfully employed to calculate its generalized parton distributions and some low-energy observables. The distributions of energy, spin, pressures, and shear forces inside the $\rho$ meson are explicitly given.
Highlights
We know that the gravitational form factors (GFFs) are defined through the matrix element of the energymomentum tensor (EMT) [1]
We know that the GFFs A0ðtÞ and JðtÞ are related to the generators of the Poincare group for the mass and spin of the particle which give the constraints at zero-momentum transfer A0ð0Þ 1⁄4 1 and Jð0Þ 1⁄4 1 [26,30,41,42]
We extend our previous approach on the ρ meson generalized parton distributions (GPDs) with the phenomenological light-front constituent quark model to its GFFs and further to the distributions of pressure and shear forces
Summary
We know that the gravitational form factors (GFFs) are defined through the matrix element of the energymomentum tensor (EMT) [1]. Since the GFFs relate to the mass, spin, shear forces, and D-term of the particles [2,3], they (or EMT form factors) involve a large range of physics, such as the gravitation physics and the physics in hard scattering processes [4,5]. The gluonic operator is believed to contribute to the majority part This may give another possible way to probe the GFFs via the exclusive production of heavy quarkonium states, such as near-threshold J=ψ and Υ photoproduction processes at JLab. and RHIC etc. In this part, we introduce a phenomenological three-dimensional (3D) Gaussian form wave package, when calculating the static EMT, since our obtained.
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