Fully open -flavor tetraquark states bcgs and scq-b with JP=0+,1+

We have studied the masses for fully open -flavor tetraquark states begs and scqb = u. d) with quantum numbers JP = 0+, 1+. We systematically construct all diquark antiquark interpolating currents and calculate the two -point correlation functions and spectral densities in the framework of QCD sum rule method. Our calculations show that the masses are about 7.1 7.2 GeV for the begs tetraquark states and 7.0 7.1 GeV for the scqb tetraquarks. The masses of begs tetraquarks are below the thresholds of BsD and Bs* D final states for the scalar and axial vector channels respectively. The scqb tetraquark states with JP = 1+ lie below the B+ K* and B D thresholds. Such low masses for these possible tetraquark states indicate that they can only decay via weak interaction and thus are very narrow and stable.