Renormalizability of leading order covariant chiral nucleon-nucleon interaction
Renormalizability of leading order covariant chiral nucleon-nucleon interaction
复制标题
前导协变手性核子-核子相互作用的重正化性
DOI：
10.1088/1674-1137/abe368
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Long Bingwei
中科院分区：
文献类型：
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作者：
Wang Chunxuan;Geng Lisheng;Long Bingwei
在这项工作中，我们研究了最近提出的协变功率计数在核子-核子散射情况下的重整化群不变性[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 ~3P_0 通道中得到满足。另一个有趣的功能是 ~1S_0 和 ~3P_1 通道是相关的。通过拟合 T_(1ab)= 10 和 25 MeV 处的 ~1S_0 相移（截止值 A = 400-650 MeV）来固定相关的低能量常数，可以相对较好地描述 ~3P_1 相移。在 A → ∞ 的极限下，~1S_0 相移变得与截止无关，而~3P_1 相移则不然。这与维格纳界和之前的观察一致，即 ~3P_1 通道最好进行扰动处理。对于~1P_1和~3S_1-~3D_1通道，满足重整化群不变性。
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 ~3P_0 channel. Another interesting feature is that the ~1S_0 and ~3P_1 channels are correlated. Fixing the relevant low energy constants by fitting to the ~1S_0 phase shifts at T_(1ab)= 10 and 25 MeV with cutoff values A = 400-650 MeV, one can describe the ~3P_1 phase shifts relatively well. In the limit of A → ∞, the ~1S_0 phase shifts become cutoff-independent, whereas the ~3P_1 phase shifts do not. This is consistent with the Wigner bound and previous observations that the ~3P_1 channel is best treated perturbatively. As for the ~1P_1 and ~3S_1-~3D_1 channels, renormalization group invariance is satisfied.