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arXiv · 0901.1117

Singular Charge Density at the Center of the Pion?

Gerald A. Miller
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Abstract

We relate the three-dimensional infinite momentum frame spatial charge density of the pion to its electromagnetic form factor. Diverse treatments of the measured form factor data including: phenomenological fits, non-relativistic quark models, the application of perturbative QCD, QCD sum rules, holographic QCD, and the Nambu Jona-Lasinio (NJL) model all lead to the result that the charge density at the center of the pion has a logarithmic divergence. Relativistic constituent quark models do not display this singularity. Future measurements planned for larger values of momentum transfer may determine whether or not a singularity actually occurs.

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Gerald A. Miller. 2009-01-08. Singular Charge Density at the Center of the Pion?. https://doi.org/10.1103/physrevc.79.055204

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