Singular Charge Density at the Center of the Pion - Nuclear TheoryReport as inadecuate




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Abstract: We relate the three-dimensional infinite momentum frame spatial chargedensity of the pion to its electromagnetic form factor. Diverse treatments ofthe measured form factor data including: phenomenological fits,non-relativistic quark models, the application of perturbative QCD, QCD sumrules, holographic QCD, and the Nambu Jona-Lasinio NJL model all lead to theresult that the charge density at the center of the pion has a logarithmicdivergence. Relativistic constituent quark models do not display thissingularity. Future measurements planned for larger values of momentum transfermay determine whether or not a singularity actually occurs.



Author: Gerald A. Miller

Source: https://arxiv.org/







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