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arXiv 1105.0468hep-phhep-lat
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重子的电磁性质

Electromagnetic properties of baryons

T. Ledwig, J. Martin-Camalich, V. Pascalutsa, M. Vanderhaeghen

摘要:

本文在SU(2)协变重子手征微扰理论的框架下讨论了核子的手征行为和Delta(1232)电磁性质。我们的单圈计算完成到p^3和p^4/Delta量级,Delta作为Delta(1232)核子能隙。我们表明,只有当所涉及的质量和所施加的磁场强度之间的一个额外的关系是满足的,可以通过线性能量移动定义的共振磁矩。π介子质量对δ(1232)电磁矩的依赖性中的奇点和尖点反映了一种不满足。我们给出了核子等矢量电磁量与π质量的依赖关系的结果和等矢量反常磁矩的有限体积效应的结果。

英文摘要:

We discuss the chiral behavior of nucleon and Delta(1232) electromagnetic properties within the framework of a SU(2) covariant baryon chiral perturbation theory. Our one-loop calculation is complete to the order p^3 and p^4/Delta with Delta as the Delta(1232)-nucleon energy gap. We show that the magnetic moment of a resonance can be defined through the linear energy shift only when an additional relation between the involved masses and the applied magnetic field strength is fulfilled. Singularities and cusps in the pion mass dependence of the Delta(1232) electromagnetic moments reflect a non-fulfillment. We show results for the pion mass dependence of the nucleon iso-vector electromagnetic quantities and present results for finite volume effects on the iso-vector anomalous magnetic moment.

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