Singular Charge Density at the Center of the Pion?
Nuclear Theory
2009-06-30 v1 High Energy Physics - Phenomenology
Nuclear Experiment
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.
Keywords
Cite
@article{arxiv.0901.1117,
title = {Singular Charge Density at the Center of the Pion?},
author = {Gerald A. Miller},
journal= {arXiv preprint arXiv:0901.1117},
year = {2009}
}
Comments
6 pages, 2 figures