Abstract
In this study, the strong coupling constants of the unobserved heavy axial tensor mesons to the heavy vector and pseudoscalar $\ensuremath{\pi}$ and $K$ mesons, ${D}_{2}{D}^{*}\ensuremath{\pi}$, ${D}_{s2}{D}^{*}K$, ${B}_{2}{B}^{*}\ensuremath{\pi}$, ${B}_{s2}{B}^{*}K$ as well as a heavy axial tensor to axial vector and light pseudoscalar $\ensuremath{\pi}$ and $K$-mesons, ${D}_{2}{D}_{1}\ensuremath{\pi}$, ${D}_{s2}{D}_{1}K$, ${B}_{2}{B}_{1}\ensuremath{\pi}$, ${B}_{s2}{B}_{1}K$ vertices have been investigated within the light cone QCD sum rules method. Having obtained the strong coupling constants, we estimate the corresponding decay widths that will hopefully be verified in future experiments.
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