Strong decays of newly observedDsJstates in a constituent quark model with effective Lagrangians

Abstract

The strong decay properties of the newly observed states ${D}_{sJ}(3040)$, ${D}_{sJ}(2860)$, and ${D}_{sJ}(2710)$ are studied in a constituent quark model with quark-meson effective Lagrangians. We find that the ${D}_{sJ}(3040)$ could be identified as the low-mass physical state $|2{P}_{1}{⟩}_{L}$ (${J}^{P}={1}^{+}$) from the ${D}_{s}(2^{1}P_{1})\mathrm{\text{\ensuremath{-}}}{D}_{s}(2^{3}P_{1})$ mixing. The ${D}_{sJ}(2710)$ is likely to be the low-mass mixed state $|(SD){⟩}_{L}$ via the $1^{3}D_{1}\mathrm{\text{\ensuremath{-}}}2^{3}S_{1}$ mixing. In our model, the ${D}_{sJ}(2860)$ cannot be assigned to any single state with a narrow width and compatible partial widths to $DK$ and ${D}^{*}K$. Thus, we investigate a two-state scenario as proposed in the literature. In our model, one resonance is likely to be the $1^{3}D_{3}$ (${J}^{P}={3}^{\ensuremath{-}}$), which mainly decays into $DK$. The other resonance seems to be the $|1D_{2}{}^{\ensuremath{'}}{⟩}_{H}$, i.e. the high-mass state in the $1^{1}D_{2}\mathrm{\text{\ensuremath{-}}}1^{3}D_{2}$ mixing with ${J}^{P}={2}^{\ensuremath{-}}$, of which the ${D}^{*}K$ channel is its key decay mode. We also discuss implications arising from these assignments and give predictions for their partner states such as $|(SD{)}^{\ensuremath{'}}{⟩}_{H}$, $|2{P}_{1}^{\ensuremath{'}}{⟩}_{H}$, $2^{3}P_{0}$, and $2^{3}P_{2}$, which could be helpful for the search for these new states in future experiments.