In this article, we take the point of view that the bottomed (0(+), 1(+) ) mesons B-s0 and B-s1 are the conventional b (s) over bar meson and calculate the strong coupling constants gB(s0)BK and gB(s1)B*K with the light-cone QCD sum rules. The numerical values of strong coupling constants gB(s1)B*K and gB(s0)BK are very large and support the hadronic dressing mechanism. Just like the scalar mesons f(0)(980), a(0)(980), D-s0 and axial-vector meson D-s1, the (0(+), 1(+)) bottomed mesons B-s0 and B-s1 may have small b (k) over bar kernels of the typical b (s) over bar meson size. The strong couplings to the hadronic channels ( or the virtual mesons loops) may result in smaller masses than the conventional b (s) over bar mesons in the potential quark models and enrich the pure b (s) over bar states with other components.
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