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首页> 外文期刊>Physical review, C >Large-N-c limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory
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Large-N-c limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory

机译:大N-C限制减少了缺陷有效场理论中独立的少体平等侵犯了低能量常数的数量

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摘要

The symmetries of the standard model dictate that for very low energies, where nucleon dynamics can be described in terms of a pionless effective field theory (EFT(sic)), the leading-order parity-violating nucleon-nucleon Lagrangian contains five independent unknown low-energy constants (LECs). We find that imposing the approximate symmetry of QCD that appears when the number of colors N-c becomes large reduces the number of independent LECs to two at leading order in the combined EFT(sic) and large-N-c expansions. We also find a relation between the two isoscalar LECs in the large-Nc limit. This has important implications for the number of experiments and/or lattice calculations necessary to confirm this description of physics. In particular, we find that a future measurement of the parity-violating asymmetry in (gamma) over right arrow d -> np together with the existing result for parity-violating (p) over right arrow pp scattering would constrain all leading-order (in the combined expansion) LECs. This is a considerable improvement on the previous understanding of the system.
机译:标准模型的对称性决定了非常低的能量,其中核心动态可以在缺陷有效场理论(EFT(SiC))方面(EFT(SiC)),违规核心核心拉格朗日包含五个独立未知的低电平 - 年度常数(LECs)。我们发现,当颜色N-C的数量变大时,强加QCD的近似对称性,将独立LEC的数量减少到两个在组合的EFT(SIC)和大N-C扩展中的前导顺序。我们还在大型NC限制中找到了两个iSoscalar LEC之间的关系。这对确认物理学描述所需的实验和/或晶格计算具有重要意义。特别地,我们发现,在右箭头d - 右箭头d - > np上的奇偶突出的不对称的未来测量与右箭头pp散射逐个违反(p)的现有结果将限制所有领先顺序(在组合的扩展中)LEC。这是对系统对系统的了相当大的改进。

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