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In this study, we calculate the mixing angles between the axial-vector mesons $^{3}P_1$ and $^{1}P_1$, specifically $D_{1(s1)} - D_{1(s1)}'$ and $B_{1(s1)} - B_{1(s1)}'$ within the framework of QCD sum rules. Our results for the mixing angles are smaller than those predicted by the Bethe-Salpeter, relativistic and non-relativistic quark models. These angles can be measured by analyzing various decay channels at experiments conducted at BELLE II, and LHCb.

The multipole moments of the $J^P = 3^-$ tensor mesons are obtained using the light cone sum rules. Our results on multipole moments are compared with the predictions of light-cone helicity formalism within SU(3) flavor symmetry, and it is observed that the results in both approaches are quite compatible with each other. The obtained multipole moments of tensor mesons provide deeper insights into their properties and understanding of the strong and electromagnetic decay channels of these mesons.

In this study, the spectroscopic parameters of the exotic molecular states composed of mesons containing two heavy quarks (scalar-axial and pseudoscalar-axial meson combinations) are investigated within QCD sum rules. Our findings reveal that the molecular states containing charm quarks do not form bound states, whereas the states with b-quarks can form the exotic molecular states. This observation has significant implications for understanding the structure of these exotic states., Comment: To be published in Chinese Physics C