Analysis on Heavy Quarkonia Transitions with Pion Emission in Terms of the QCD Multipole Expansion and Determination of Mass Spectra of Hybrids

Abstract

One of the most important tasks in high energy physics is search for the exotic states, such as glueball, hybrid and multi-quark states. The transitions $\psi (ns)\to \psi (ms)+\pi \pi$ and ${\rm Y}(ns)\to {\rm Y}(ms)+\pi \pi$ attract great attentions because they may reveal characteristics of hybrids. In this work, we analyze those transition modes in terms of the theoretical framework established by Yan and Kuang. It is interesting to notice that the intermediate states between the two gluon-emissions are hybrids, therefore by fitting the data, we are able to determine the mass spectra of hybrids. The ground hybrid states are predicted as 4.23 GeV (for charmonium) and 10.79 GeV (for bottonium) which do not correspond to any states measured in recent experiments, thus it may imply that very possibly, hybrids mix with regular quarkonia to constitute physical states. Comprehensive comparisons of the potentials for hybrids whose parameters are obtained in this scenario with the lattice results are presented.

arXiv comment16 pages, 2 figure

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Cited by in corpus (14)

• Heavy quarkonium: progress, puzzles, and opportunities
• A possible global group structure for exotic states
• Re-Study on the wave functions of ${\rm Y}(nS)$ states in LFQM and the radiative decays of ${\rm Y}(nS)\to {\eta }_b+\gamma$
• Study of hadronic transitions between Y states and observation of Y(4S)-> eta Y(1S) decay
• Bottomonium dipion transitions
• Determining $1^{--}$ Heavy Hybrid Masses via QCD Sum Rules
• Puzzles in hadronic transitions of heavy quarkonium with two pion emission
• Higher Hybrid Bottomonia in an Extended Potential Model
• Understanding the newly observed Y(4008) by Belle
• Search for $B_c(ns)$ via the $B_c(ns)\to B_c(ms){\pi }^{+}{\pi }^{-}$ transition at LHCb and $Z_0$ factory
• Determination of the mixing between active neutrinos and sterile neutrino through the quark-lepton complementarity and self-complementarity
• $B^{(\ast )}{\bar{B}}^{(\ast )}$ intermediate state contribution to ${\rm Y}(4S,5S)\to {\eta }_b+\gamma$ radiative decay
• The magnetic dipole transitions in the $(c\bar{b})$ binding system
• Puzzles in quarkonium hadronic transitions with two pion emission