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.

12 pages, 1 figure

References in corpus (6)

• Charmonium
• ${\rm Y}(4S,5S)\to {\rm Y}(1S)\eta$ transitions in the rescattering model and the new BaBar measurement
• Strong decays and dipion transitions of Upsilon(5S)
• Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method
• Υ(5S) decays into BB and BBπ
• Higher ${\eta }_c(nS)$ and ${\eta }_b(nS)$ mesons

Cited by in corpus (2)

• Study of $\eta$ and dipion transitions in ${\rm Y}(4S)$ decays to lower bottomonia
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC