Strong couplings of heavy mesons with kaon meson in three point QCD sum rules

Highlights: • The vertices $B_{s0}{B}_{1}K$ and $B_{s1}{B}_{1}K$ within the framework of the three point QCD sum rules approach were analyzed. • The contributions of the quark-quark, quark-gluon and gluon-gluon condensates corrections were considered. • The strong form factors for the $B_{s0}{B}_{1}K$ and $B_{s1}{B}_{1}K$ vertices within 3PSR were estimated. • The strong coupling constants could give useful information about strong interactions of the strange $B_1$ and strange K mesons. • The strong coupling constants give information about the structure of the axial vector and scalar $B_{s0}$ and $B_{s1}$ mesons. The strong interaction between heavy and kaon mesons can consistently described by coupling constant in an effective lagrangian. Here, the improved strong coupling constants of $g_{B_{s0}{B}_{1}K}$ and $g_{B_{s1}{B}_{1}K}$ vertices in the framework of the three-point QCD sum rules are calculated. The coupling constants are calculated, when both the $B_1$ and K states are off-shell. In this calculation, the contributions of the quark-quark, quark-gluon, and gluon-gluon condensates corrections are considered. By considering the $S{U}_f\left(3\right)$ symmetry, the comparison of results with existing predictions has also been made.