Charmed-strange Meson Spectrum: Old and New Problems

Abstract

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 ${\bar{D}}^0{K}^{-}$ structure seen in the $B_s^0\to {\bar{D}}^0{K}^{-}{\pi }^{+}$ reaction and with invariant mass $2.86\mathrm{GeV}$ is an admixture of a spin-$1$ and a spin-$3$ resonances. Motivated by the good agreement between our theoretical predictions some time ago and the properties extracted from the experiment of the $D_{s1}^{\ast }(2860)$ and $D_{s3}^{\ast }(2860)$ states, we perform an extension of the study of the strong decay properties of the $D_{sJ}^{\ast }(2860)$ and present the same analysis for the $D_{s1}^{\ast }(2700)$ 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 $D_{s1}^{\ast }(2700)$, $D_{sJ}^{\ast }(2860)$ 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.

10 pages, 1 figure. arXiv admin note: text overlap with arXiv:1205.2215

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• Strong decays of $2^{+}$ charm and charm-strange mesons