We calculate the low-lying spectrum of charmed baryons in lattice QCD on the $32^3\times64$, $N_f=2+1$ PACS-CS gauge configurations at the almost physical pion mass of $\sim 156$ MeV/c$^2$. By employing a set of interpolating operators with different Dirac structures and quark-field smearings for the variational analysis, we extract the ground and first few excited states of the spin-$1/2$ and spin-$3/2$, singly-, doubly-, and triply-charmed baryons. Additionally, we study the $\Xi_c$-$\Xi_c^\prime$ mixing and the operator dependence of the excited states in a variational approach. We identify several states that lie close to the experimentally observed excited states of the $\Sigma_c$, $\Xi_c$ and $\Omega_c$ baryons, including some of the $\Xi_c$ states recently reported by LHCb. Our results for the doubly- and triply-charmed baryons are suggestive for future experiments.

中文翻译：

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物理点附近晶格 QCD 的迷人重子谱

我们在 $32^3\times64$, $N_f=2+1$ PACS-CS 规配置上计算晶格 QCD 中迷住重子的低位谱，在几乎物理 pion 质量为 $\sim 156$ MeV/c$ ^2$。通过使用一组具有不同狄拉克结构和夸克场拖尾的插值算子进行变分分析，我们提取了自旋 $1/2$ 和自旋 $3/2$ 的基态和前几个激发态，单独，双重-，和三重魅力的重子。此外，我们以变分方法研究了 $\Xi_c$-$\Xi_c^\prime$ 混合和激发态的算子依赖性。我们确定了几种状态接近于实验观察到的 $\Sigma_c$、$\Xi_c$ 和 $\Omega_c$ 重子的激发态，包括 LHCb 最近报告的一些 $\Xi_c$ 状态。