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arXiv 1203.0936hep-ph
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辐射衰变中的主导自旋轨道效应{ $Υ(3S\rightarrow γχ_{bJ}(1P))$ }}

Dominant spin-orbit effects in radiative decays {$Υ(3S\rightarrow γχ_{bJ}(1P))$}}

A. M. Badalian, B. L. G. Bakker

摘要:

我们表明,有两个原因,为什么部分宽度的过渡$Γ_1(Υ(3S)\rightarrow γχ_{b1}(1P))$被抑制。首先,自旋平均矩阵元(m.e.)$\bar{I(3S|r|1P_J)}$很小,在我们的相对论计算中等于0.023 GeV $^{-1}$。第二,自旋轨道分裂产生相对大的贡献,给出$I(3S|r|1P_2)=0.066$ GeV的$^{-1}$,而由于大的抵消,m. e. $I(3S|r|1P_1)=-0.020$ GeV的$^{-1}$是小的和负的;同时$I(3S|r|1P_0)=-0.063$ GeV的$^{-1}$的幅度相对较大。这些M. E产生部分宽度:$Γ_2(Υ(3S)\rightarrow γχ_{b2}(1P))=212$ eV、$Γ_0(Υ(3S)\rightarrow γχ_{b0}(1P))=54$ eV,它们与CLEO和BaBar数据很好地一致,还产生$Γ_1(Υ(3S)\rightarrow γχ_{b1}(1P))=13$ eV,它们满足BaBar极限$Γ_1(exp.) < 22$ eV。

英文摘要:

We show that there are two reasons why the partial width for the transition $Γ_1(Υ(3S)\rightarrow γχ_{b1}(1P))$ is suppressed. Firstly, the spin-averaged matrix element (m.e.) $\bar{I(3S|r|1P_J)}$ is small, being equal to 0.023 GeV$^{-1}$ in our relativistic calculations. Secondly, the spin-orbit splittings produce relatively large contributions, giving $I(3S|r|1P_2)=0.066$ GeV$^{-1}$, while due to large cancellation the m.e. $I(3S|r|1P_1)=-0.020$ GeV$^{-1}$ is small and negative; at the same time the magnitude of $I(3S|r|1P_0)=-0.063$ GeV$^{-1}$ is relatively large. These m.e. give rise to the partial widths: $Γ_2(Υ(3S)\rightarrow γχ_{b2}(1P))=212$ eV, $Γ_0(Υ(3S)\rightarrow γχ_{b0}(1P))=54$ eV, which are in good agreement with the CLEO and BaBar data, and also to $Γ_1(Υ(3S)\rightarrow γχ_{b1}(1P))=13$ eV, which satisfies the BaBar limit, $Γ_1(exp.) < 22$ eV.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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