Single eta production in heavy quarkonia: breakdown of multipole expansion

Abstract

The $\eta$ production in the $(n,n^{\prime })$ bottomonium transitions ${\rm Y}(n)\to {\rm Y}(n^{\prime })\eta ,$ is studied in the method used before for dipion heavy quarkonia transitions. The widths ${\Gamma }_{\eta }(n,n^{\prime })$ are calculated without fitting parameters for $n=2,3,4,5,n^{\prime }=1$. Resulting ${\Gamma }_{\eta }(4,1)$ is found to be large in agreement with recent data. Multipole expansion method is shown to be inadequate for large size systems considered.

arXiv comment12 pages, 1 figure

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Cited by in corpus (7)

• Hadron interaction with heavy quarkonia
• Charged bottomonium-like states $Z_b(10610)$ and $Z_b(10650)$ and the ${\rm Y}(5S)\to {\rm Y}(2S){\pi }^{+}{\pi }^{-}$ decay
• Relativistic theory of string breaking in QCD
• Study of $\eta$ and dipion transitions in ${\rm Y}(4S)$ decays to lower bottomonia
• Study of the Hadronic Transitions ${\rm Y}$(2S)$\to (\eta ,{\pi }^0){\rm Y}$(1S) at Belle
• The role of spin-flipping terms in hadronic transitions of ${\rm Y}(4S)$
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC