Abstract
We report our recent studies of generalized parton distribution functions of a \rhoρ meson with the help of a light-front constituent quark model. The electromagnetic form factors and structure functions of the system are discussed. Moreover, we show our results for its gravitational form factors (or energy-momentum tensor form factors) and other mechanical properties, like mass distributions, pressures, shear forces, and D-D−term.
Highlights
The study of generalized parton distribution functions (GPDs) is a key issue to understand the internal properties of a complex system [1,2,3,4]
Since the sum rules of GPDs relate to the form factors (FFs), and the GPDs in the forward limit connect to the parton distribution functions (PDFs), GPDs can give a three-dimensional description of the system
It is addressed that the spin-1 particle, different from spin-1/2 and spin-0 ones, has three polarizations and has a tensor structure function b1, which relates to the parton distribution function of the longitudinally polarized target
Summary
The study of generalized parton distribution functions (GPDs) is a key issue to understand the internal properties of a complex system [1,2,3,4]. Since the sum rules of GPDs relate to the form factors (FFs), and the GPDs in the forward limit connect to the parton distribution functions (PDFs), GPDs can give a three-dimensional description of the system. It should be mentioned that the experimental measurements for the Compton form factors of the nuclei [14,15,16]) have already been carried out in Jefferson Lab. For spin-1 particles, like the ρ meson and deuteron, there are some discussions for their FFs, structure functions, transverse momentum distributions, PDFs, and GPDs in the literature [17,18,19,20,21]. We know that the vector meson ρ is a spin-1 particle It is believed as a two-body bound state with a quark and antiquark pair and its wave function is expected to be S−wave dominant. Since it is much easier to deal with the electromagnetic (EM) interaction to the quark than that to the nucleon, we focus our attention on the study of its GPDs
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