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2014

Enhanced breaking of heavy quark spin symmetry

Guo, Feng-Kun, Meißner, Ulf-G., Shen, Cheng-Ping

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Heavy quark spin symmetry is useful to make predictions on ratios of decay or production rates of systems involving heavy quarks.

The breaking of spin symmetry is generally of the order of $O({\Lambda_{\rm QCD}/m_Q})$, with $\Lambda_{\rm QCD}$ the scale of QCD and $m_Q$ the heavy quark mass.
In this paper, we will show that a small $S$- and $D$-wave mixing in the wave function of the heavy quarkonium could induce a large breaking in the ratios of partial decay widths.
As an example, we consider the decays of the $\Upsilon(10860)$ into the $\chi_{bJ}\omega\, (J=0,1,2)$, which were recently measured by the Belle Collaboration.

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