论文标题
双重诱人的Baryons $ξ_{cc} $和$ω_{cc} $的系统分析
Systematic analysis of doubly charmed baryons $Ξ_{cc}$ and $Ω_{cc}$
论文作者
论文摘要
在这项工作中，我们对质谱，均方根（R.M.S。）半径以及双重诱人的Baryons $ξ_{cc} $和$ω__{cc} $的径向密度分布进行系统研究。计算是在Godfrey-Isgur（GI）相对夸克模型的框架工作中进行的，其中Baryon被视为真正的三体夸克系统。我们的结果表明，具有$ρ$ mode的双重魅力Baryon的激发能量低于$λ$ -Mode和$λ$ - $ - $ - $ρ$混合模式，这表明最低的状态由$ρ$ - mode主导。根据这一结论，我们系统地研究了质谱R.M.S.地面和激发状态的半径（$ 1S \ sim4s $，$ 1p \ sim4p $，$ 1D \ sim4d $，$ 1F \ sim4f $和$ 1G \ sim4g $），带有$ρ$ -MODE）。使用从夸克模型获得的波函数，我们还研究了径向密度分布。最后，使用了预测的质谱，构建了$ξ_{cc} $的regge轨迹和$ω_{cc} $（$ j $，$ m^{2} $）平面，并且斜率由线性拟合确定。发现模型预测质量非常适合构造的regge轨迹。
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.
