Taming the Pion Cloud of the Nucleon

Details Taming the Pion Cloud of the Nucleon Taming the Pion Cloud of the Nucleon

2012-01-19

arxiv.org/abs/1201.4184v1

Physics

Nuclear Physics

Nuclear Theory

11 pages, 3 figures

Scientific paper

We present a light-front determination of the pionic contribution to the nucleon self-energy, $\Sigma_\pi$, to second-order in pion-baryon coupling constants that allows the pion-nucleon vertex function to be treated in a model-independent manner constrained by experiment. The pion mass $\mu$ dependence of $\Sigma_\pi$ is consistent with chiral perturbation theory results for small values of $\mu$ and is also linearly dependent on $\mu$ for larger values, in accord with the results of lattice QCD calculations. The derivative of $\Sigma_\pi$ with respect to $\mu^2$ yields the dominant contribution to the pion content, which is consistent with the $\bar{d}-\bar{u}$ difference observed experimentally in the violation of the Gottfried sum rule.

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