论文标题
$λ_Q$和$ξ_Q$的1s和2s状态的分析QCD和规则
Analysis of the 1S and 2S states of the $Λ_Q$ and $Ξ_Q$ with the QCD sum rules
论文作者
论文摘要
在本文中，我们研究了基态和第一个radial抗抗抗素重的重型baryon状态$λ_q$和$ξ_q$，并用自旋 - 帕特$ j^p = {1 \ over 2}^{+} $，通过将操作员产品扩展到一致的$ 10 $ $ 10 $ 10的液泡中。我们观察到，较高的尺寸真空凝结起着重要的作用，并获得了非常稳定的QCD总规则，该规则与重型baryon状态的Borel参数有所不同。预测的质量$ 6.08 \ pm0.09 \，\ rm {gev} $，$ 2.78 \ pm0.08 \，\ rm {gev} $和$ 2.96 \ pm0.09 \，\ rm {gev}和$ξ_c（\ rm 2s）$分别与实验数据和支持分配$λ_b（6072）$，$λ_c（2765）$和$ξ_c（2980/2970）$非常吻合$ 6.24 \ pm0.07 \，\ rm {gev} $用于$ξ_b（\ rm 2s）$，可以将来与实验数据相遇。
In this article, we study the ground states and the first radial excited states of the flavor antitriplet heavy baryon states $Λ_Q$ and $Ξ_Q$ with the spin-parity $J^P={1\over 2}^{+}$ by carrying out the operator product expansion up to the vacuum condensates of dimension $10$ in a consistent way. We observe that the higher dimensional vacuum condensates play an important role, and obtain very stable QCD sum rules with variations of the Borel parameters for the heavy baryon states for the first time. The predicted masses $6.08\pm0.09\,\rm{GeV}$, $2.78\pm0.08\,\rm{GeV}$ and $2.96\pm0.09\,\rm{GeV}$ for the first radial excited states $Λ_b(\rm 2S)$, $Λ_c(\rm 2S)$ and $Ξ_c(\rm 2S)$ respectively are in excellent agreement with the experimental data and support assigning the $Λ_b(6072)$, $Λ_c(2765)$ and $Ξ_c(2980/2970)$ to be the first radial excited states of the $Λ_b$, $Λ_c$ and $Ξ_c$, respectively, the predicted mass $6.24\pm0.07\,\rm{GeV}$ for the $Ξ_b(\rm 2S)$ can be confronted to the experimental data in the future.
