论文标题
领先阶的协变性手性核子核子相互作用的重差异性
Renormalizability of leading order covariant chiral nucleon-nucleon interaction
论文作者
论文摘要
在这项工作中，我们研究了最近提出的协变量计数（PC）方案的重新归一化组不变性（RGI），在核子核子散射的情况下[Chin.phys。 C42（2018）014103]在领先顺序（LO）处。我们表明，与Lo Weinberg案不同，RGI在$^3p_ {0} $ Channel中得到满足，因为$ pp' $的术语自然出现在LO的协证PC方案中。另一个有趣的功能是$^1S_ {0} $和$^3p_ {1} $ CHANNELS是相关的。通过拟合$^1S_ {0} $相位固定两个相关的低能常数，以$ t_ \ mathrm {lab。} = 10 $和$ 25 $ MEV，带有$ 400-650 $ MEV的$ 25 $ MEV，$^3p_ {1} $相位转移可以相同地描述。在$λ\ rightarrow \ infty $的限制中，$^1S_0 $通道变得独立截止，而RGI在$^3P_ {1} $通道中丢失，与Wigner BOND的限制以及先前的观察结果，即$^{3} P_1 $通道更好地处理。至于$^1p_ {1} $和$^3S_ {1} $ - $^3D_ {1} $ CHANNELS，RGI很满意，类似于Weinberg方法。
In this work, we study the renormalization group invariance (RGI) of the recently proposed covariant power counting (PC) scheme in the case of nucleon-nucleon scattering [Chin.Phys. C42 (2018) 014103] at leading order (LO). We show that unlike the LO Weinberg case, RGI is satisfied in the $^3P_{0}$ channel, because a term of $pp'$ appears naturally in the covariant PC scheme at LO. Another interesting feature is that the $^1S_{0}$ and $^3P_{1}$ channels are correlated. Fixing the two relevant low energy constants by fitting to the $^1S_{0}$ phase shifts at $T_\mathrm{lab.}=10$ and $25$ MeV with a cutoff $Λ$ of $400-650$ MeV, the $^3P_{1}$ phase shifts can be described relatively well. In the limit of $Λ\rightarrow \infty$, the $^1S_0$ channel becomes cutoff independent, while RGI is lost in the $^3P_{1}$ channel, consistent with the Wigner bound and the previous observation that the $^{3}P_1$ channel better be treated perturbatively. As for the $^1P_{1}$ and $^3S_{1}$-$^3D_{1}$ channels, RGI is satisfied, similar to the Weinberg approach.
