Singular Charge Density at the Center of the Pion?

Details Singular Charge Density at the Center of the Pion? Singular Charge Density at the Center of the Pion?

2009-01-08

arxiv.org/abs/0901.1117v1

Phys.Rev.C79:055204,2009

Physics

Nuclear Physics

Nuclear Theory

6 pages, 2 figures

Scientific paper

10.1103/PhysRevC.79.055204

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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