Strong decays of the lowest bottomonium hybrid within an extended Born-Oppenheimer framework

Abstract

We analyze the decays of the theoretically predicted lowest bottomonium hybrid $H(1P)$ to open bottom two-meson states. We do it by embedding a quark pair creation model into the Born-Oppenheimer framework which allows for a unified, QCD-motivated description of bottomonium hybrids as well as bottomonium. A new ${}^1{P}_1$ decay model for $H(1P)$ comes out. The same analysis applied to bottomonium leads naturally to the well-known ${}^3{P}_0$ decay model. We show that $H(1P)$ and the theoretically predicted bottomonium state ${\rm Y}(5S)$, whose calculated masses are close to each other, have very different widths for such decays. A comparison with data from ${\rm Y}(10860)$, an experimental resonance whose mass is similar to that of ${\rm Y}(5S)$ and $H(1P)$, is carried out. Neither a ${\rm Y}(5S)$ nor a $H(1P)$ assignment can explain the measured decay widths. However, a ${\rm Y}(5S)$-$H(1P)$ mixing may give account of them supporting previous analyses of dipion decays of ${\rm Y}(10860)$ and suggesting a possible experimental evidence of $H(1P)$.

9 pages; v2: new title, major additions and modifications in the article body; v3: slight change in the title, new reference, clarifications and minor modifications in the article body

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• Hybrid Mesons
• String breaking by light and strange quarks in QCD
• The Born-Oppenheimer approximation in an effective field theory language
• Diabatic description of charmonium-like mesons
• Bottomonium resonances with $I=0$ from lattice QCD correlation functions with static and light quarks
• ${\rm Y}(nl)$ decay into $B^{(\ast )}{\bar{B}}^{(\ast )}$
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Cited by in corpus (2)

• Why quarkonium hybrid coupling to two S-wave heavy-light mesons is not suppressed
• Model-independent predictions for decays of hidden-heavy hadrons into pairs of heavy hadrons