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arXiv 1111.3993nucl-th
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手征核力的重正化:三重态通道

Renormalizing Chiral Nuclear Forces: Triplet Channels

Bingwei Long, Chieh-Jen Yang

摘要:

本文在手征有效场论的框架内,以S波和P波为例,讨论了核子-核子散射三重态通道的次主导接触相互作用,即反项。三重态通道的特殊之处在于,它们允许一π交换的奇异吸引力来修改温伯格的原始功率计数(WPC)方案。以重整化群不变性为约束,我们对三重态通道的功率计数可以总结为朴素维度分析的修改版本,其中,与WPC相比,给定分波中的所有反项(领先或子领先)都增强了相同的量。更具体地说,这意味着WPC在3S 1 - 3D 1和3 P1中不需要修改,而在3 P0和3 P2 - 3F 2中都需要二阶增强。

英文摘要:

We discuss the subleading contact interactions, or counterterms, of the triplet channels of nucleon-nucleon scattering in the framework of chiral effective field theory, with S and P waves as the examples. The triplet channels are special in that they allow the singular attraction of one-pion exchange to modify Weinberg's original power counting (WPC) scheme. With renormalization group invariance as the constraint, our power counting for the triplet channels can be summarized as a modified version of naive dimensional analysis in which, when compared with WPC, all of the counterterms in a given partial wave (leading or subleading) are enhanced by the same amount. More specifically, this means that WPC needs no modification in 3S1-3D1 and 3P1, whereas a two-order enhancement is necessary in both 3P0 and 3P2 - 3F2.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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