Peak shifts due to $B^{(\ast )}-{\bar{B}}^{(\ast )}$ rescattering in ${\rm Y}(5S)$ dipion transitions

Abstract

We study the energy distributions of dipion transitions ${\rm Y}(5S)$ to ${\rm Y}(1S,2S,3S){\pi }^{+}{\pi }^{-}$ in the final state rescattering model. Since the ${\rm Y}(5S)$ is well above the open bottom thresholds, the dipion transitions are expected to mainly proceed through the real processes ${\rm Y}(5S)\to B^{(\ast )}{\bar{B}}^{(\ast )}$ and $B^{(\ast )}{\bar{B}}^{(\ast )}\to {\rm Y}(1S,2S,3S){\pi }^{+}{\pi }^{-}$. We find that the energy distributions of ${\rm Y}(1S,2S,3S){\pi }^{+}{\pi }^{-}$ markedly differ from that of ${\rm Y}(5S)\to B^{(\ast )}{\bar{B}}^{(\ast )}$. In particular, the resonance peak will be pushed up by about 7-20 MeV for these dipion transitions relative to the main hadronic decay modes. These predictions can be used to test the final state rescattering mechanism in hadronic transitions for heavy quarkonia above the open flavor thresholds.

arXiv commentVersion published in PRD, energy dependence of the total width in Eq.(12) restored and corresponding figure changed, more discussion and clarification added

References in corpus (12)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Final State Interactions in Hadronic B Decays
• Nonfactorizable contributions in B decays to charmonium: the case of $B^{-}\to K^{-}{h}_c$
• $B^{-}\to K^{-}{\chi }_{c0}$ decay from charmed meson rescattering
• Decay channels and charmonium mass-shifts
• Decays of the X(3872) and ${\chi }_{c1}(2P)$ charmonium
• QCD Multipole Expansion and Hadronic Transitions in Heavy Quarkonium Systems
• Scalar Resonance Contributions to the Dipion Transition Rates of ${\rm Y}(4S,5S)$ in the re-scattering model
• The Hidden Charm Decay of $X(3872),Y(3940)$ and Final State Interaction Effects
• Searching for the Bottom Counterparts of X(3872) and Y(4260) via ${\pi }^{+}{\pi }^{-}{\rm Y}$
• Light sigma-Meson Production in Excited Upsilon Decay Processes I: Analyses

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