Charm meson couplings in hard-wall Holographic QCD

Abstract

The four-flavor hard-wall holographic QCD is studied to evaluate the couplings of $(D^{{}_{-(\ast -)}},{\bar{D}}^{{}_0},a_1^{{}_{-}})$, $(D^{{}_{-(\ast -)}},{\bar{D}}^{{}_0},b_1^{{}_{-}})$, $(D_s^{{}_{-(\ast -)}},{\bar{D}}^{{}_0},K_{1A}^{{}_{-}})$, $(D_s^{{}_{-(\ast -)}},{\bar{D}}^{{}_0},K_{1B}^{{}_{-(\ast -)}})$, $(D_s^{{}_{+(\ast +)}},D^{{}_{+}},K_{1A}^{{}_0})$, $(D_s^{{}_{+(\ast +)}},D^{{}_{+}},K_{1B}^{{}_0})$, $(D^{{}_{-(\ast -)}},{\bar{D}}^{{}_{0(\ast 0)}},{\rho }^{{}_{-}})$, $(D_s^{{}_{-(\ast -)}},{\bar{D}}^{{}_{0(\ast 0)}},K^{{}_{\ast -}})$, $(D^{{}_{0(\ast 0)}},{\bar{D}}^{{}_{0(\ast 0)}},\psi )$, $(D_1^{{}_{-}},{\bar{D}}_1^{{}_0},{\pi }^{{}_{-}})$, $(D_{s1}^{{}_{-}},{\bar{D}}_1^{{}_0},K^{{}_{-}})$, $(D_1^{{}_0},{\bar{D}}_1^{{}_0},{\eta }_c)$, $(\psi ,D^{{}_{0(\ast 0)}},D^{{}_{+}},{\pi }^{{}_{-}})$, $(\psi ,D^{{}_{0(\ast 0)}},{\bar{D}}^{{}_0},{\pi }^{{}_0})$, $(\psi ,D_s^{{}_{+(\ast +)}},D^{{}_{-}},K^{{}_0})$, $(\psi ,D^{{}_{0(\ast 0)}},D^{{}_{+}},a_1^{{}_{-}})$, $(\psi ,D^{{}_{0(\ast 0)}},D^{{}_{+}},b_1^{{}_{-}})$, $(\psi ,D_s^{{}_{+(\ast +)}},D^{{}_{-}},K_{1B}^{{}_0})$ and $(\psi ,D_s^{{}_{+(\ast +)}},D^{{}_{-}},K_{1B}^{{}_0})$ vertices. Moreover, the values of the masses of $D^{{}_{0(\ast 0)}}$, $D_s^{{}_{-(\ast -)}}$, $\omega$, $\psi$, $D_1^{{}_0}$, $D_1^{{}_{-}}$, $K^0$, ${\eta }_c$, $D_{s1}^{{}_{-}}$ and ${\chi }_{{}_{c1}}$ as well as the decay constant of ${\pi }^{-}$, $D^{{}_{-(\ast -)}}$, $K^{-}$, ${\rho }^{-}$, $D_1^{{}_{-}}$ , $a_1^{-}$ and $D_s^{{}_{-(\ast -)}}$ are estimated in this study. A comparison is also made between our results and the experimental values of the masses and decay constants. Our results for strong couplings are also compared with the 3PSR and LCSR predictions.