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arXiv 2004.08999hep-lathep-ph
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物理点附近格点量子色动力学的粲重子谱

Charmed baryon spectrum from lattice QCD near the physical point

Huseyin Bahtiyar, Kadir Utku Can, Guray Erkol, Philipp Gubler, Makoto Oka, Toru T. Takahashi

摘要:

在$\sim 156$ MeV/c的近物理π介子质量下,计算了格点量子色动力学中$32^3\times64$,$N_f=2+1$ PACS-CS规范位形的粲重子低能谱.通过采用一组具有不同Dirac结构和夸克场涂抹的插值算子进行变分分析,我们提取了自旋$1/2$和自旋$3/2$,单粲、双粲和三粲重子的基态和前几个激发态.此外,我们还用变分方法研究了$Ξ_c$ - $Ξ_c^\prime$混合和激发态的算符依赖性。我们确定了几个国家,谎言接近实验观察到的激发态的$Σ_c$,$Ξ_c$和$Ω_c$重子,包括一些$Ξ_c$国家最近报道的LHCb。我们的研究结果的双重和三重魅力的重子是提示未来的实验。

英文摘要:

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 $Ξ_c$-$Ξ_c^\prime$ 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 $Σ_c$, $Ξ_c$ and $Ω_c$ baryons, including some of the $Ξ_c$ states recently reported by LHCb. Our results for the doubly- and triply-charmed baryons are suggestive for future experiments.

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