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arXiv 1206.3671nucl-thhep-ph
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评“驯服核子的π介子云”

Comment on "Taming the pion cloud of the nucleon"

Chueng-Ryong Ji, W. Melnitchouk, A. W. Thomas

摘要:

在最近的一封信中,阿尔伯格和米勒提出了一个从赝标(PS)π介子-核子相互作用计算π介子对核子自能的贡献的计算,并声称结果将等价于赝矢量(PV)形式。我们证明了PV和PS介子-核子耦合实际上导致了不同的自能结果。特别是,对于自能的模型无关的、主要的非分析行为,PV理论在手征极限中产生了众所周知的m_π^3依赖性,而PS相互作用涉及到一个额外的低阶项~ m_π^2 log(m_π^2)。

英文摘要:

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_π^3 dependence in the chiral limit, while the PS interaction involves an additional, lower-order term ~ m_π^2 log(m_π^2).

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