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Taming the Pion Cloud of the Nucleon

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arxiv 1201.4184 v1 pith:VVYH55S3 submitted 2012-01-19 nucl-th hep-lathep-ph

classification nucl-thhep-lathep-ph
keywords pionsigmaconsistentcontributionnucleonresultsvaluesaccord
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the Impossibility of Obtaining Time-Independent, Three-Dimensional, Spherically-Symmetric Densities of Confined Systems of Relativistically Moving Constituents

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Time-independent three-dimensional spherical densities cannot be defined for relativistic confined systems; only transverse two-dimensional light-front densities are consistent with quantum mechanics and Poincare invariance.

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