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In this article, the tensor-vector-pseudoscalar type of vertex is analyzed with the QCD sum rules and the local-QCD sum rules. Correspondingly, the hadronic coupling constants of D2*(2460), Ds2*(2573), B2*(5747) and Bs2*(5840), and their decay widths are calculated. The results indicate that the QCD sum rules and the local-QCD sum rules give the consistent descriptions. Finally, the full widths of these 4 tensor mesons are discussed in detail.
In this work, we tentatively assign the charmed mesons $D_{J}(2580)$, $D_{J}^{*}(2650)$, $D_{J}(2740)$, $D_{J}^{*}(2760)$, $D_{J}(3000)$ and $D_{J}^{*}(3000)$ observed by the LHCb collaboration according to their spin-parity and masses, then study th eir strong decays to the ground state charmed mesons plus light pseudoscalar mesons with the $^{3}P_{0}$ model. According to these study, we assigned the $D_{J}^{*}(2760)$ as the $1Dfrac{5}{2}3^{-}$ state, the $D_{J}^{*}(3000)$ as the $1Ffrac{5}{2}2^{+}$ or $1Ffrac{7}{2}4^{+}$ state, the $D_{J}(3000)$ as the $1Ffrac{7}{2}3^{+}$ or $2Pfrac{1}{2}1^{+}$ state in the $D$ meson family. As a byproduct, we also study the strong decays of $2Pfrac{1}{2}0^{+}$,$2Pfrac{3}{2}2^{+}$, $3Sfrac{1}{2}1^{-}$, $3Sfrac{1}{2}0^{-}$ etc, states, which will be helpful to further experimentally study mixings of these $D$ mesons.
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