We study the spectroscopy and dominant decays of the bottomonium-like tetraquarks (bound diquarksantidiquarks), focusing on the lowest lying P-wave [bq][bq] states Y [bq] (with q = u, d), having J PC = 1 −−. To search for them, we analyse the BaBar data [1] obtained during an energy scan of the e + e − → bb cross section in the range of √ s = 10.54 to 11.20 GeV. We find that these data are consistent with the presence of an additional bb state Y [bq] with a mass of 10.90 GeV and a width of about 30 MeV apart from the Υ (5S) and Υ (6S) resonances. A closeup of the energy region around the Y [bq]-mass may resolve this state in terms of the two mass eigenstates, Y [b,l] and Y [b,h] , with a mass difference, estimated as about 6 MeV. We tentatively identify the state Y [bq] (10900) from the R b-scan with the state Y b (10890) observed by Belle [2] in the process e + e − → Y b (10890) → Υ (1S, 2S) π + π − due to their proximity in masses and decay widths.

The transition form factors of B (s) → S, with S denoting a scalar meson, are investigated in the light-cone sum rules approach. The numerical values are approximately twice as large as that estimated in the light-front quark model and QCD sum rules approach. Using these form factors, we present the analysis of the decay rates for B → a0(1450)lν l , B → K * 0 (1430)ll, Bs → K * 0 (1430)lν l and Bs → f0(1500)ll with l = e, µ, τ . The results indicate that magnitudes of BR(B0 → a0(1450)lν l ) and BR(Bs → K * 0 (1430)lν l ) can arrive at the order of 10 −4 , which can be measured in the future experiments to clarify the inner structure of scalar mesons. It is also observed that BR(B → K * 0 (1430)τ + τ − ) and BR(Bs → f0(1500)τ + τ − ) are an order of magnitude smaller than the corresponding channels of e + e − and µ + µ − final states due to the heavily suppressed phase space . Moreover, the longitudinal lepton polarization asymmetry for B → K * 0 (1430)ll and Bs → f0(1500)ll are also investigated, whose values are close to −1 for the e + e − and µ + µ − pair except the region close to the end points.

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The discovery of the baryonic states P + c (4380) and P + c (4450) by the LHCb collaboration in the process pp → bb → Λ 0 b X, followed by the decay Λ 0 b → J/ψ p K − has evoked a lot of theoretical interest. These states have the minimal quark content ccuud, as suggested by their discovery mode J/ψ p, and the preferred J P assignments are 5