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Fourth dimension of the nucleon structure: Spacetime analysis of the timelike electromagnetic proton form factors

Fourth dimension of the nucleon structure: Spacetime analysis of the timelike electromagnetic proton form factors

As is well known, spacelike proton form factors expressed in the Breit frame may be interpreted as the Fourier transform of static space distributions of electric charge and current. In particular, the electric form factor is simply the Fourier transform of the charge distribution $F(q)=\ensuremath{\int}{e}^{i\stackrel{P\vec}{q}\ifmmode\cdot\else\textperiodcentered\fi{}\stackrel{P\vec}{r}}\ensuremath{\rho}(r){d}^{3}r$. We do not have an …