标题： 基于极化子类比的核子夸克模型 显示英文标题

标题： Quark model of nucleon based on an analogy with polaron

摘要： 我们证明固体物理中的极化子理论可以作为非微扰QCD的一个有趣的类比模型，至少在描述核子和强相互作用的低能物理方面是如此。 通过将极化子物理（电子在离子晶体中运动时产生的物理现象）与介子-核子相互作用的物理进行明确类比，提出了“极化子/QCD对应关系”的某些规则。 在极化子理论中，有效费米子质量作为耦合常数的函数，在弱耦合和强耦合极限下都是已知的。 所提出的“极化子/QCD对应关系”将这些结果转化为强相互作用。 随后展示了如何应用这些规则，从而对核子质量以及介子-核子西格玛项得出意外良好的定量预测。 极化子方法还预测了以组成夸克形式存在的夸克自由度占核子质量的三分之一，这与格点预测一致。 我们讨论了极化子物理与非微扰QCD之间观察到的定量相似性的可能物理原因。 显示英文摘要

摘要： We demonstrate that the polaron theory from solid state physics can serve as an interesting analogue model for non-perturbative QCD, at least in the description of nucleons and related low-energy physics of strong interactions. By drawing explicit analogies between polaron physics, arising for an electron moving in an ionic crystal, and physics of pion-nucleon interactions, certain rules for the "polaron/QCD correspondence" are proposed. In polaron theory, the effective fermion mass as a function of the coupling constant is known both in the weak and strong coupling limits. The conjectured "polaron/QCD correspondence" translates these results into strong interactions. It is then shown how application of these rules leads to unexpectedly good quantitative predictions for the nucleon mass and the pion-nucleon sigma term. The polaron approach also predicts that the quark degrees of freedom in the form of the constituent quark account for one-third of the nucleon mass, consistent with lattice predictions. We discuss possible physical reasons underlying the observed quantitative similarity between polaron physics and non-perturbative QCD.