Speaker: Gerald A. Miller (University of Washington)
Title: Singular Charge Density at the Center of the Pion?
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.