Analysis of the strong $D_2^{\ast }(2460{)}^0\to D^{+}\ddot{I}{€}^{-}$ and $D_{s2}^{\ast }(2573{)}^{+}\to D^{+}{K}^0$ transitions via QCD sum rules

Abstract

The strong $D_2^{\ast }(2460{)}^0\to D^{+}\ddot{I}{€}^{-}$ and $D_{s2}^{\ast }(2573{)}^{+}\to D^{+}{K}^0$ transitions are analyzed via three point QCD sum rules. First, we calculate the corresponding strong coupling constants $g_{D_2^{\ast }D\ddot{I}€}$ and $g_{D_{s2}^{\ast }DK}$. Then, we use them to calculate the corresponding decay widths and branching ratios. Making use of the existing experimental data on the ratio of the decay width in the pseudoscaler $D$ channel to that of the vector $D^{\ast }$ channel, finally, we estimate the decay width and branching ratio of the strong $D_2^{\ast }(2460{)}^0\to D^{\ast }(2010{)}^{+}\ddot{I}{€}^{-}$ transition.

13 Pages and 7 Tables