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B_sπ^+ scattering and search for X(5568) with lattice QCD

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arxiv 1607.03185 v2 pith:7A4FXKBF submitted 2016-07-11 hep-lat hep-ph

B_sπ^+ scattering and search for X(5568) with lattice QCD

classification hep-lat hep-ph
keywords latticescatteringsearchexoticlhcbotherresonanceseen
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate $B_s\pi^+$ scattering in s-wave using lattice QCD in order to search for an exotic resonance X(5568) with flavor $\bar b s \bar d u$; such a state was recently reported by D0 but was not seen by LHCb. If X(5568) with $J^P=0^+$ exists, it can strongly decay only to $B_s\pi^+$ and lies significantly below all other thresholds, which makes a lattice search for X(5568) cleaner and simpler than for other exotic candidates. Both an elastic resonance in $B_s\pi^+$ as well as a deeply bound $B^+\bar K^0$ would lead to distinct signatures in the energies of lattice eigenstates, which are not seen in our simulation. We therefore do not find a candidate for X(5568) with $J^P=0^+$ in agreement with the recent LHCb result. The extracted $B_s\pi^+$ scattering length is compatible with zero within the error.

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    hep-ph 2026-07 conditional novelty 6.0

    A hybrid quark model with gluon and meson exchange predicts that LHCb's T-c̄s̄0(2870) and T-cs̄0(2900) are compact tetraquarks, and that Ds0(2317), Ds1(2460), Tbs(5568), and Tcs(2327) are not.