Charmed-strange meson spectrum: Old and new problems

The LHCb Collaboration has recently reported the observation for the first time of a spin-3 resonance in the heavy quark sector. They have shown that the ${\overline{D}}^0{K}^{-}$ structure seen in the $B_s^0\to {\overline{D}}^0{K}^{-}{\pi }^{+}$ reaction and with invariant mass 2.86 GeV is an admixture of a spin-1 and a spin-3 resonance. Motivated by the good agreement between our theoretical predictions some time ago and the properties extracted from the experiment of the $D_{s1}^{*}(2860)$ and $D_{s3}^{*}(2860)$ states, we perform an extension of the study of the strong decay properties of the $D_{sJ}^{*}(2860)$ and present the same analysis for the $D_{s1}^{*}(2700)$ and $D_{sJ}(3040)$ mesons. This provides a unified and simultaneous description of the three higher excited charmed-strange resonances observed until now. For completeness, we present theoretical results for masses and strong decays of the low-lying charmed-strange mesons and those experimental missing states which belong to the spin multiplets of the discovered $D_{s1}^{*}(2700)$, $D_{sJ}^{*}(2860)$ and $D_{sJ}(3040)$ resonances. The theoretical framework used is a constituent quark model which successfully describes hadron phenomenology from light to heavy quark sectors.

Figure 1

Diagrams that can contribute to the decay width through the ${}^3{P}_0$ model.