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arXiv 2211.00510hep-ph
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双粲重子 Ξ_{cc} 与 Ω_{cc} 的系统分析

Systematic analysis of doubly charmed baryons $Ξ_{cc}$ and $Ω_{cc}$

Guo-Liang Yu, Zhen-Yu Li, Zhi-Gang Wang, Jie Lu, Meng Yan

AI总结:

本文在 Godfrey-Isgur 相对论化夸克模型下系统计算双粲重子 Ξ_{cc} 和 Ω_{cc} 的质量谱、半径及径向密度分布,发现最低态由 ρ 模式主导,并构建了与模型预言吻合的 Regge 轨迹。

摘要:

本文对双粲重子 Ξ_{cc} 和 Ω_{cc} 的质量谱、均方根(r.m.s.)半径以及径向密度分布进行了系统研究。计算在 Godfrey-Isgur(GI)相对论化夸克模型框架下进行,其中重子被视为真实的三体夸克系统。结果表明,具有 ρ 模式的双粲重子激发能低于 λ 模式以及 λ-ρ 混合模式的激发能,这说明最低态主要由 ρ 模式主导。基于这一结论,我们系统研究了 ρ 模式下基态和激发态(1S~4S、1P~4P、1D~4D、1F~4F 和 1G~4G)的质量谱和均方根半径。利用夸克模型得到的波函数,我们还研究了径向密度分布。最后,根据预言的质量谱,在(J,M²)平面内构建了 Ξ_{cc} 和 Ω_{cc} 的 Regge 轨迹,并通过线性拟合确定了斜率和截距。研究发现,模型预言的质量与所构建的 Regge 轨迹吻合良好。

英文摘要:

In this work, we perform a systematic study of the mass spectra, the root mean square(r.m.s.) radii and the radial density distributions of the doubly charmed baryons $Ξ_{cc}$ and $Ω_{cc}$. The calculations are carried out in the frame work of Godfrey-Isgur (GI) relativized quark model, where the baryon is regarded as a real three-body system of quarks. Our results show that the excited energy of doubly charmed baryon with $ρ$-mode is lower than those of the $λ$-mode and $λ$-$ρ$ mixing mode, which indicates that the lowest state is dominated by the $ρ$-mode. According to this conclusion, we systematically investigate the mass spectra, the r.m.s. radii of the ground and excited states($1S\sim4S$, $1P\sim4P$, $1D\sim4D$, $1F\sim4F$ and $1G\sim4G$) with $ρ$-mode. Using the wave functions obtained from quark model, we also study the radial density distributions. Finally, with the predicated mass spectra, the Regge trajectories of $Ξ_{cc}$ and $Ω_{cc}$ in the ($J$,$M^{2}$) plane are constructed, and the slopes, intercepts are determined by linear fitting. It is found that model predicted masses fit nicely to the constructed Regge trajectories.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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