[en] We study the spectroscopy and dominant decays of the bottomonium-like tetraquarks (bound diquarks-antidiquarks), focusing on the lowest lying P-wave [bq][anti b anti q] states Y_[bq] (with q=u,d), having J^PC=1^--. To search for them, we analyse the BABAR data obtained during an energy scan of the e⁺e^-→b anti b 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 b anti b 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 in the process e⁺e^-→Y_b(10890)→Υ(1S,2S)π⁺π^- due to their proximity in masses and decay widths. (orig.)