Bottomonium resonances with $I=0$ from lattice QCD correlation functions with static and light quarks

Abstract

We discuss, how to study $I=0$ quarkonium resonances decaying into pairs of heavy-light mesons using static potentials from lattice QCD. These static potentials can be obtained from a set of correlation functions containing both static and light quarks. As a proof of concept we focus on bottomonium with relative orbital angular momentum $L=0$ of the $\bar{b}b$ pair corresponding to $J^{PC}=0^{-+}$ and $J^{PC}=1^{--}$. We use static potentials from an existing lattice QCD string breaking study and compute phase shifts and $\mbox{T}$ matrix poles for the lightest heavy-light meson-meson decay channel. We discuss our results in the context of corresponding experimental results, in particular for ${\rm Y}(10860)$ and ${\rm Y}(11020)$.

23 pages, 9 figures; version accepted for publication in PRD

References in corpus (9)

• Nonperturbative determination of the QCD potential at O(1/m)
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• Stability of multiquarks in a simple string model
• String breaking by light and strange quarks in QCD
• Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials
• The Born-Oppenheimer approximation in an effective field theory language
• BB Potentials in Quenched Lattice QCD
• The static-light meson spectrum from twisted mass lattice QCD
• Doubly heavy hadrons and the domain of validity of doubly heavy diquark--anti-quark symmetry

Cited by in corpus (5)

• Diabatic description of bottomoniumlike mesons
• Diabatic description of charmoniumlike mesons II: mass corrections and strong decay widths
• The unreasonable effectiveness of effective string theory: the case of the 3d SU(2) Higgs model
• Coupled-channel meson-meson scattering in the diabatic framework
• Hidden-bottom hadronic decays of ${\rm Y}(10753)$ with a ${\eta }^{(\prime )}$ or $\omega$ emission