论文标题
对于少数核系统截止的“ RG不变eft''是独立的吗？
Is the "RG-invariant EFT'' for few-nucleon systems cutoff independent?
论文作者
论文摘要
我们考虑使用手性有效田间理论的制定的核子核子散射，该理论据称是重新归一化组不变的。该框架的基石是在每个膨胀处的散射幅度上存在明确定义的无限距离极限，这不应取决于特定的调节剂形式。尽管将重点放在$^3p_0 $ partial Wave作为一个代表性的例子上，我们表明，尽管对振幅的脱脂贡献了扰动的处理，但总体而言，这一要求通常无法满足领先顺序。先前沿着这些线路的一些研究，包括Long和Yang [Phys的临时计算。 Rev. C84，057001（2011）]和一个玩具模型示例，具有Long和Van Kolck的奇异远程电势[Annals Phys。 323，1304-1323（2008）]进行了严格的审查和详细审查。
We consider nucleon-nucleon scattering using the formulation of chiral effective field theory which is claimed to be renormalization group invariant. The cornerstone of this framework is the existence of a well-defined infinite-cutoff limit for the scattering amplitude at each order of the expansion, which should not depend on a particular regulator form. Focusing on the $^3P_0$ partial wave as a representative example, we show that this requirement can in general not be fulfilled beyond the leading order, in spite of the perturbative treatment of subleading contributions to the amplitude. Several previous studies along these lines, including the next-to-leading order calculation by Long and Yang [Phys. Rev. C84, 057001 (2011)] and a toy model example with singular long-range potentials by Long and van Kolck [Annals Phys. 323, 1304-1323 (2008)], are critically reviewed and scrutinized in detail.
