arXiv 0804.15752008-04hep-ph

夸克模型与$b$重子

The Quark Model and $b$ Baryons

Marek Karliner, Boaz Keren-Zur, Harry J. Lipkin, Jonathan L. Rosner

备注：: 20 pages, 1 figure, to be published in Annals of Physics. Eq. (58) corrected
发表信息：: Annals Phys.324:2-15,2009
DOI：: 10.1016/j.aop.2008.05.003

摘要：

最近在Tevatron上观测到的$Σ_b^{\pm}$（$uub$和$ddb$）重子在预测的$Σ_b - Λ_b$分裂的2 MeV之内，$Ξ_b^-$ $(dsb)$重子在Tevatron上的预测在几MeV之内，这为基于色超精细相互作用建模的理论方法提供了强有力的证实。预测的$M(Ξ^-_b) = 5790$到5800兆电子伏的审查和类似的方法来预测的激发态$Ξ_b^\prime$和$Ξ_b^*$的质量。不确定性的主要来源是用于估计已知强子的质量差$m_b - m_c$的方法。我们验证，由于夸克间的潜力和$Ξ_b$-$Ξ_b^\prime$混合的细节的修正是小的。对于S波$qqb$态，我们预测$M(Ω_b) = 6052.1 \pm 5.6$ MeV、$M(Ω^*_b) = 6082.8 \pm 5.6$ MeV和$M(Ξ_b^0) = 5786.7 \pm 3.0$ MeV。对于在$b$夸克和两个轻夸克之间具有一个单位轨道角动量的状态，我们预测为$M(Λ_{b[1/2]}) = 5929 \pm 2$ MeV、$M(Λ_{b[3/2]}) = 5940 \pm 2$ MeV、$M(Ξ_{b[1/2]}) = 6106 \pm 4$ MeV和$M(Ξ_{b[3/2]}) = 6115 \pm 4$ MeV。结果与最近的其他方法进行了比较。

英文摘要：

The recent observation at the Tevatron of $Σ_b^{\pm}$ ($uub$ and $ddb$) baryons within 2 MeV of the predicted $Σ_b - Λ_b$ splitting and of $Ξ_b^-$ $(dsb)$ baryons at the Tevatron within a few MeV of predictions has provided strong confirmation for a theoretical approach based on modeling the color hyperfine interaction. The prediction of $M(Ξ^-_b) = 5790$ to 5800 MeV is reviewed and similar methods used to predict the masses of the excited states $Ξ_b^\prime$ and $Ξ_b^*$. The main source of uncertainty is the method used to estimate the mass difference $m_b - m_c$ from known hadrons. We verify that corrections due to the details of the interquark potential and to $Ξ_b$--$Ξ_b^\prime$ mixing are small. For S-wave $qqb$ states we predict $M(Ω_b) = 6052.1 \pm 5.6$ MeV, $M(Ω^*_b) = 6082.8 \pm 5.6$ MeV, and $M(Ξ_b^0) = 5786.7 \pm 3.0$ MeV. For states with one unit of orbital angular momentum between the $b$ quark and the two light quarks we predict $M(Λ_{b[1/2]}) = 5929 \pm 2$ MeV, $M(Λ_{b[3/2]}) = 5940 \pm 2$ MeV, $M(Ξ_{b[1/2]}) = 6106 \pm 4$ MeV, and $M(Ξ_{b[3/2]}) = 6115 \pm 4$ MeV. Results are compared with those of other recent approaches.

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英文摘要：

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