Prediction of Rms Charge Radius of Proton Using Proton–Proton Elastic Scattering Data at TeV

Abstract

Using  proton–proton elastic scattering data  at  TeV and squared four-momentum transfer 0.36 < -t <  0.76 (GeV/c)² for 13 σ_Beam distance  and  0.07 < -t <  0.46 (GeV/c)² for 4.3 σ_Beam distance, form factor of proton is predicted. Simplest version of Chou–Yang model is employed to extract the form factor by fitting experimental data of differential cross section from TOTEM experiment (for 13σ_Beamand 4.3 σ_Beam distance) to a single Gaussian. Root mean square (rms) charge radius of proton is calculated using this form factor.  It is found to be equal to 0.91 fm and 0.90 fm respectively. Which is in good agreement with experimental data and theoretically predicted values.