2020
DOI: 10.1103/physrevd.101.034503
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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 thebb pair corresponding to J P C = 0 −+ and J P C = 1 −− . We use static potentials from an existing lattice QCD string breaking study and compute phase shifts and T … Show more

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Cited by 38 publications
(39 citation statements)
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“…The Born-Oppenheimer approximation has also been used for heavy tetraquarks in Refs. [32,[38][39][40][41]. The EFT for heavy hybrids has been extended beyond leading order to include spin-dependent operators up to 1=m Q [42] and up to 1=m 2 Q [43,44].…”
Section: Introductionmentioning
confidence: 99%
“…The Born-Oppenheimer approximation has also been used for heavy tetraquarks in Refs. [32,[38][39][40][41]. The EFT for heavy hybrids has been extended beyond leading order to include spin-dependent operators up to 1=m Q [42] and up to 1=m 2 Q [43,44].…”
Section: Introductionmentioning
confidence: 99%
“…Our results favor the Υ(10860) as a predominantly 5 3 S 1 state. Interestingly, a recent work based on the lattice QCD also suggested the Υ(10860) as a 5 3 S 1 state [84]. The mass of Υ(4S ) predicted by the RFT model is about 60 MeV higher than the measured mass of Υ(10580) (see Table IV).…”
Section: A Ns (N ≥ 2) Statesmentioning
confidence: 82%
“…These mixing potentials are related to the non-adiabatic coupling terms which are neglected in the B-O approximation. Noticeable progress in the incorporation of the non-adiabatic coupling terms within a framework that goes beyond the B-O approximation has been recently reported [10,11]. However, the calculation involving the non-adiabatic coupling terms requires more unquenched lattice data than currently at disposal [12,13].…”
Section: Strong Decays To Open Bottom Two-meson Statesmentioning
confidence: 99%