Strange Axial-vector Mesons in D Meson Decays

Abstract

The nature of strange axial-vector mesons are not well understood and can be investigated in $D$ meson decays. In this work, it is found that the experimental data of $D^0\to K^{\pm }{K}_1^{\mp }(1270)(\to \ddot{I}K\text{or}{K}^{\ast }\ddot{I}€)$ in the $D^0\to K^{+}{K}^{-}\ddot{I}{€}^{+}\ddot{I}{€}^{-}$ mode, disagree with the equality relation under the narrow width approximation and $CP$ conservation of strong decays. Considering more other results of $K_1(1270)$ decays, the data of $\mathcal{B}(D^0\to K^{-}{K}_1^{+}(1270)(\to K^{\ast 0}\ddot{I}{€}^{+}))$ is probably overestimated by one order of magnitude. We then calculate the branching fractions of the corresponding processes with $K_1(1400)$ in the factorization approach, and find $\mathcal{B}(D^0\to K^{-}{K}_1^{+}(1400)(\to K^{\ast 0}\ddot{I}{€}^{+}))$ is comparable to the predicted $\mathcal{B}(D^0\to K^{-}{K}_1^{+}(1270)(\to K^{\ast 0}\ddot{I}{€}^{+}))$ using the equality relation. Besides, we suggest to measure the ratios between $K_1(1270)\to \ddot{I}K$ and $K^{\ast }\ddot{I}€$ or to test the equality relations in other $D$ meson decay modes.

18 pages, 7 tables. Published version