论文标题
$λ_cn $领导顺序的交互协变性手性效果理论
$Λ_c N$ interaction in leading order covariant chiral effective field theory
论文作者
论文摘要
我们在领先顺序上研究了协变性手性有效野外理论（Cheft）中的$λ_cn $相互作用。所有相关的低能常数都是通过拟合HAL QCD协作的晶格QCD模拟来确定的。将结果推送到物理点，我们表明$λ_cn $相互作用在$^1S_0 $频道中非常有吸引力，但是在$^3S_1 $通道中，它只能在极低的能量下吸引人，并且很快就会使大型实验室能量变得令人震惊。此外，我们表明，$^3S_1- {}^3D_1 $耦合的忽视由领先订单的协变量厨师提供的耦合将导致物理点的$^3S_1 $通道中有吸引力的交互作用，这与先前的非竞争性厨师研究相吻合。作为副产品，我们预测$^3D_1 $相位偏移和混合天使$ \ varepsilon_1 $，可以通过未来的晶格QCD模拟来检查。此外，我们将$λ_cn $相互作用与$λn$和$ nn $互动进行比较，以研究Baryon-Nucleon（$ bn $）的交互作用如何随着Baryon质量的函数而演变，并用Baryon奇怪或Charm Quark替换了Baryon Quark（$ B $）。
We study the $Λ_c N$ interaction in the covariant chiral effective field theory (ChEFT) at leading order. All the relevant low-energy constants are determined by fitting to the lattice QCD simulations from the HAL QCD Collaboration. Extrapolating the results to the physical point, we show that the $Λ_c N$ interaction is weakly attractive in the $^1S_0$ channel, but in the $^3S_1$ channel, it is only attractive at extremely low energies and soon turns repulsive for larger laboratory energy. Furthermore, we show that the neglect of the $^3S_1-{}^3D_1$ coupling provided by the leading order covariant ChEFT would result in an attractive interaction in the $^3S_1$ channel at the physical point, which coincides with the previous non-relatistic ChEFT study. As a byproduct, we predict the $^3D_1$ phase shifts and the mixing angel $\varepsilon_1$, which can be checked by future lattice QCD simulations. In addition, we compare the $Λ_c N$ interaction with the $ΛN$ and $NN$ interactions to study how the baryon-nucleon ($BN$) interactions evolve as a function of the baryon mass with the replacement of a light quark by a strange or charm quark in the baryon ($B$).
