Analysis of strong decays of charmed mesons $D_2^{\ast }(2460)$, $D_0(2560)$, $D_2(2740)$, $D_1(3000)$, $D_2^{\ast }(3000)$ and their spin partners $D_1^{\ast }(2680)$, $D_3^{\ast }(2760)$ and $D_0^{\ast }(3000)$

Abstract

Using the effective Lagrangian approach, we examine the recently observed charm states $D_J^{\ast }(2460)$, $D_J(2560)$, $D_J(2740)$, $D_J(3000)$ and their spin partners $D_J^{\ast }(2680)$, $D_J^{\ast }(2760)$ and $D_J^{\ast }(3000)$ with $J^P$ states $1P_{\frac{3}{2}}{2}^{+}$, $2S_{\frac{1}{2}}{0}^{-}$, $1D_{\frac{5}{2}}{2}^{-}$, $2P_{\frac{1}{2}}{1}^{+}$ and $2S_{\frac{1}{2}}{1}^{-}$, $1D_{\frac{5}{2}}{3}^{-}$, $2P_{\frac{1}{2}}{0}^{+}$ respectively. We study their two body strong decays, coupling constants and branching ratios with the emission of light pseudo-scalar mesons $(\pi ,\eta ,K)$. We also analyze the newly observed charm state $D_2^{\ast }(3000)$ and suggest it to be either $1F(2^{+})$ or $2P(2^{+})$ state and justify one of them to be the most favorable assignment for $D_2^{\ast }(3000)$. We study the partial and the total decay width of unobserved states $D(1^1{F}_3)$, $D_s(1^1{F}_3)$ and $D_s(1^1{F}_2)$ as the spin and the strange partners of the $D_2^{\ast }(3000)$ charmed meson. The branching ratios and the coupling constants $g_{TH}$, ${\tilde{g}}_{HH}$, $g_{YH}$, ${\tilde{g}}_{SH}$ and $g_{ZH}$ calculated in this work can be confronted with the future experimental data.

Comments: 8 Pages, 1 Figure