Mass splittings in $Σ_b$ and $Σ_b^*$

Details Mass splittings in $Σ_b$ and $Σ_b^*$ Mass splittings in $Σ_b$ and $Σ_b^*$

2006-11-15

arxiv.org/abs/hep-ph/0611207v4

Phys.Rev.D75:013009,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 1 figure, to be published in Phys. Rev. D (Brief Reports). Numerical corrections; some text added

Scientific paper

10.1103/PhysRevD.75.013009

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.

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