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arXiv 1209.3872nucl-thhep-phnucl-ex
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有效场论中核子的电磁形状因子

Electromagnetic form factors of the nucleon in effective field theory

T. Bauer, J. C. Bernauer, S. Scherer

摘要:

在显洛伦兹不变的有效场论中,我们计算了三阶手征核子的电磁形状因子。ρ介子和Ω介子以及Delta(1232)共振作为显式动力学自由度。为了获得一个自洽理论的约束,我们考虑适当的有效拉格朗日耦合之间的关系。为了生成系统的功率计数,扩展的质量壳重整化方案与小尺度展开相结合。的电和磁的萨克斯形状因子的结果进行了分析的实验数据和以前的研究结果相比,手征微扰理论的框架。简要讨论了形状因子与π介子质量的关系。

英文摘要:

We calculate the electromagnetic form factors of the nucleon to third chiral order in manifestly Lorentz-invariant effective field theory. The rho and omega mesons as well as the Delta(1232) resonance are included as explicit dynamical degrees of freedom. To obtain a self-consistent theory with respect to constraints we consider the proper relations among the couplings of the effective Lagrangian. For the purpose of generating a systematic power counting, the extended on-mass-shell renormalization scheme is applied in combination with the small-scale expansion. The results for the electric and magnetic Sachs form factors are analyzed in terms of experimental data and compared to previous findings in the framework of chiral perturbation theory. The pion-mass dependence of the form factors is briefly discussed.

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