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arXiv 0710.3577hep-lathep-phnucl-th
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外动量、体积效应和核子磁矩

External Momentum, Volume Effects, and the Nucleon Magnetic Moment

B. C. Tiburzi

备注：
21 pages, 5 figures; discussion in Sect. IV C expanded, Figs. now B&W friendly
发表信息：
Phys.Rev.D77:014510,2008
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摘要：

我们分析了依赖于外部动量的关联函数的体积效应的确定。作为一个具体的例子，我们考虑了有限体积核子电流算符，并着重讨论了核子的磁矩。由于多极子分解依赖于SO（3）旋转不变性，因此这种有限体积校正的结构与无限体积多极子形状因子无关。只有当零模光子耦合消失时，才能推导出对磁矩的体积修正，就像重子手征微扰理论中的次主导阶那样。然而，为了推导出这种有限体积修正，必须假定动量传递是连续的。在实践中，需要与动量传递相关的体积校正来解决磁矩的提取，或在动量相关的关联函数中出现的其他可观测量。此外，我们揭示了一些关于网格形状因子数据在相同的动量转移平方值的差异的难题。

英文摘要：

We analyze the determination of volume effects for correlation functions that depend on an external momentum. As a specific example, we consider finite volume nucleon current correlators, and focus on the nucleon magnetic moment. Because the multipole decomposition relies on SO(3) rotational invariance, the structure of such finite volume corrections is unrelated to infinite volume multipole form factors. One can deduce volume corrections to the magnetic moment only when a zero-mode photon coupling vanishes, as occurs at next-to-leading order in heavy baryon chiral perturbation theory. To deduce such finite volume corrections, however, one must assume continuous momentum transfer. In practice, volume corrections with momentum transfer dependence are required to address the extraction of the magnetic moment, or other observables that arise in momentum dependent correlation functions. Additionally we shed some light on a puzzle concerning differences in lattice form factor data at equal values of momentum transfer squared.

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