GPDs of hadrons and elastic pion-nucleon scattering
arXiv:2107.02514 · doi:10.1103/PhysRevD.104.034001
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.
13 pages, 20 figures, typos corrected, minor clarification added
References in corpus (14)
- Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
- Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
- Generalized parton correlation functions for a spin-1/2 hadron
- Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
- Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
- Basic features of the pion valence-quark distribution function
- Pion valence quark distribution from current-current correlation in lattice QCD
- Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
- Generalized Parton Distributions and Description of Electromagnetic and Graviton form factors of nucleon
- Compton Scattering Cross Section on the Proton at High Momentum Transfer
- Models of parton distributions and the description of form factors of nucleon
- Exciting Nucleons in Compton Scattering and Hydrogen-Like Atoms
- A New Extraction of Pion Parton Distributions in the Statistical Model
- Anomaly in the differential cross sections at 13 TeV