Abstract
The pion structure is represented by Generelazed parton distribution functions (GPDs). The momentum transfer dependence of GPDs of the pion was obtained on the basis of the form of GPDs of the nucleon in the framework of the high energy generalized structure (HEGS) model. To this end, different forms of PDFs of the pion of various Collaborations were examined with taking into account the available experimental data on the pion form factors. As a result, the electromagnetic and gravitomagnetic form factors of the pion were calculated. They were used in the framework of the HEGS model with the electromagnetic and gravitomagnetic form factors of the proton for describing pion-nucleon elastic scattering in a wide energy and momentum transfer region with a minimum of fitting parameters. The properties of the obtained scattering amplitude were analyzed.
Highlights
The study of the particle structure is one of the old and longstanding problems in modern physics
Many collaborations have obtained some forms of the parton distribution functions (PDF) using the recent data obtained at HERA and LHC in deep inelastic scattering
We have more generalized parton distributions which depend on different variables GTMDsðx; k⃗ ; ξ; Δ⃗ Þ, Generalized transverse momentum dependent distributions of partons [1,2,3]
Summary
The study of the particle structure is one of the old and longstanding problems in modern physics. The hadron elastic form factor was obtained by the integration function LðxÞGðx; tÞ where LðxÞ corresponds to the parton function and Gðx; tÞ corresponds to an additional function which depends on the momentum transfer and x In modern language, this exactly corresponds to GPDs. The recent results from the LHC gave plenty of new information about the elastic and. Comparing the corresponding cross sections determined by Compton form factors and transition magnetic form factor with the existing experimental data gives us additional support of the obtained t-dependence of GPDs. In Sec. IV, a short review of the results of the HEGS model for the nucleon structure and nucleon-nucleon scattering is presented.
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