In this work, we study the renormalization group invariance of the recently proposed covariant power counting in the case of nucleon-nucleon scattering [Chin. Phys. C 42 (2018) 014103] at leading order. We show that unlike the Weinberg scheme, renormalizaion group invariance is satisfied in the channel. Another interesting feature is that the and channels are correlated. Fixing the relevant low energy constants by fitting to the phase shifts at and 25 MeV with cutoff values MeV, one can describe the phase shifts relatively well. In the limit of , the phase shifts become cutoff-independent, whereas the phase shifts do not. This is consistent with the Wigner bound and previous observations that the channel is best treated perturbatively. As for the and - channels, renormalization group invariance is satisfied.

在这项工作中，我们研究了在核子 - 核子散射的情况下最近提出的协变幂计数的重整化群不变性 [Chin. 物理。C 42 (2018) 014103] 处于领先地位。我们表明，与 Weinberg 方案不同，重整化群不变性在通道中得到满足。另一个有趣的特性是和通道是相关的。通过拟合具有截止值MeV 的25 MeV 和 25 MeV的相移来确定相关的低能量常数，可以相对较好地描述相移。在 的极限内，相移变得与截止无关，而相移则不然。这与 Wigner 界和之前的观察一致，即信道最好进行扰动处理。对于和-通道，满足重整化群不变性。