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The effect of $Z_b$ states on $Upsilon(3S) oUpsilon(1S)pipi$ decays | | Yun-Hua Chen
; Johanna T. Daub
; Feng-Kun Guo
; Bastian Kubis
; Ulf-G. Meißner
; Bing-Song Zou
; | | Date: |
11 Dec 2015 | | Abstract: | Within the framework of dispersion theory, we analyze the dipion transitions
between the lightest $Upsilon$ states, $Upsilon(nS)
ightarrow Upsilon(mS)
pipi$ with $m < n leq 3$. In particular, we consider the possible effects of
two intermediate bottomonium-like exotic states $Z_b(10610)$ and $Z_b(10650)$.
The $pipi$ rescattering effects are taken into account in a model-independent
way using dispersion theory. We confirm that matching the dispersive
representation to the leading chiral amplitude alone cannot reproduce the
peculiar two-peak $pipi$ mass spectrum of the decay $Upsilon(3S)
ightarrow
Upsilon(1S) pipi$. The existence of the bottomonium-like $Z_b$ states can
naturally explain this anomaly. We also point out the necessity of a proper
extraction of the coupling strengths for the $Z_b$ states to $Upsilon(nS)pi$,
which is only possible if a Flatt’e-like parametrization is used in the data
analysis for the $Z_b$ states. | | Source: | arXiv, 1512.3583 | | Services: | Forum | Review | PDF | Favorites | |
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