Mass splittings in $\Sigma_b$ and $\Sigma_b^*$

Mass splittings in $\Sigma_b$ and $\Sigma_b^*$
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$Sigma_b$ 和 $Sigma_b^*$ 中的质量分裂

DOI:
10.1103/physrevd.75.013009
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发表时间:
2006
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影响因子:
--
通讯作者:
J. Rosner
J. Rosner
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--
文献类型:
--
作者:
J. Rosner

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CDF协作组最近报告了带电$\Sigma_B$和$\Sigma^*_B$状态。简要回顾了它们的电荷平均质量与基于夸克模型的期望值之间的关系。证明了电磁质量差δ I = 1 σ 1 equiv M(\Sigma^+)- M(\Sigma^-)$,$\Sigma^*_1 \equiv M(\Sigma^{*+})- M(\Sigma^{*-})$、$\Sigma_{b1} \equiv M(\Sigma_B^+)- M(\Sigma_B^-)$和$\Sigma^*_{b1} \equiv M(\Sigma_B^{*+})- M(\Sigma_B^{*-})$。关系式为$\Sigma^*_{b1} - \Sigma_{b1} =(m_s/m_B)(\Sigma^*_1 - \Sigma_1),$导致期望值$\Sigma^*_{b1} - \Sigma_{b1} = 0.40 \pm 0.07$ MeV。
The charged $\Sigma_b$ and $\Sigma^*_b$ states have recently been reported by the CDF Collaboration. The relation of their reported charge-averaged masses to expectations based on the quark model is reviewed briefly. A relation is proved among the $\Delta I = 1$ electromagnetic mass differences $\Sigma_1 \equiv M(\Sigma^+) - M(\Sigma^-)$, $\Sigma^*_1 \equiv M(\Sigma^{*+})- M(\Sigma^{*-})$, $\Sigma_{b1} \equiv M(\Sigma_b^+) - M(\Sigma_b^-)$, and $\Sigma^*_{b1} \equiv M(\Sigma_b^{*+}) - M(\Sigma_b^{*-})$. The relation is $\Sigma^*_{b1} - \Sigma_{b1} = (m_s/m_b)(\Sigma^*_1 - \Sigma_1),$ leading to the expectation $\Sigma^*_{b1} - \Sigma_{b1} = 0.40 \pm 0.07$ MeV.