Analysis of $D_s^{\ast }{D}^{\ast }{K}^{\ast }$ and $D_{s1}{D}_1{K}^{\ast }$ vertices in three-point sum rules

Abstract

In this study, the coupling constant of $D_s^{\ast }{D}^{\ast }{K}^{\ast }$ and $D_{s1}{D}_1{K}^{\ast }$ vertices were determined within the three-point Quantum chromodynamics sum rules method with and without consideration of the $S{U}_f(3)$ symmetry. The coupling constants were calculated for off-shell charm and K${}^{\ast }$ cases. Considering the non-perturbative effect of the correlation function, as the most important contribution, the quark-quark, quark-gluon, and gluon-gluon condensate corrections were estimated and were compared with other predictive methods.

12 pages, 5 figures