Taming the Pion Cloud of the Nucleon

Abstract

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.

11 pages, 3 figures

References in corpus (1)

• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea

Cited by in corpus (23)

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• Pions in Proton Structure and Everywhere Else
• Baryons in/and Lattice QCD
• Orbital angular momentum of the proton and intrinsic five-quark Fock states
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• Flavor asymmetry from the non-perturbative nucleon sea