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Comment on "Taming the pion cloud of the nucleon"

Nuclear Theory 2015-06-05 v1 High Energy Physics - Phenomenology

Abstract

In a recent Letter, Alberg and Miller presented a calculation of the pion contributions to the self-energy of the nucleon computed from a pseudoscalar (PS) pion-nucleon interaction, with the claim that the result would be equivalent to that with the pseudovector (PV) form. We demonstrate that the PV and PS pion-nucleon couplings do in fact lead to different results for the self-energy. In particular, for the model-independent, leading nonanalytic behavior of the self-energy, the PV theory yields the well-known m_\pi^3 dependence in the chiral limit, while the PS interaction involves an additional, lower-order term ~ m_\pi^2 log(m_\pi^2).

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Cite

@article{arxiv.1206.3671,
  title  = {Comment on "Taming the pion cloud of the nucleon"},
  author = {Chueng-Ryong Ji and W. Melnitchouk and A. W. Thomas},
  journal= {arXiv preprint arXiv:1206.3671},
  year   = {2015}
}

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