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We use the world data on the pion form factor for space-like kinematics and atechnique previously used to extract the proton transverse densities to extractthe transverse pion charge density and its uncertainty due the incompleteknowledge of the pion form factor at large values of Q2 and the experimentaluncertainties. The pion charge density at small values of impact parameterb<0.1 fm is dominated by this incompleteness error while the range between0.1-0.3 fm is relatively well constrained. A comparison of pion and protontransverse charge densities shows that the pion is denser than the proton forvalues of b<0.2 fm. The pion and proton transverse charge densities seem to bethe same for values of b=0.3-0.6 fm. Future data from Thomas Jefferson NationalAccelerator Facility (JLab) 12 GeV and the Electron-Ion Collider (EIC) willincrease the dynamic extent of the form factor data to higher values of Q2 andthus reduce the uncertainties in the extracted pion transverse charge density.

Pion transverse charge density and the edge of hadrons