Molecular components in P-wave charmed-strange mesons

Abstract

Results obtained by various experiments show that the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ mesons are very narrow states located below the $DK$ and $D^{\ast }K$ thresholds, respectively. This is markedly in contrast with the expectations of naive quark models and heavy quark symmetry. Motivated by a recent lattice study which addresses the mass shifts of the $c\bar{s}$ ground states with quantum numbers $J^P=0^{+}$ ($D_{s0}^{\ast }(2317)$) and $J^P=1^{+}$ ($D_{s1}(2460)$) due to their coupling with $S$-wave $D^{(\ast )}K$ thresholds, we perform a similar analysis within a nonrelativistic constituent quark model in which quark-antiquark and meson-meson degrees of freedom are incorporated. The quark model has been applied to a wide range of hadronic observables and thus the model parameters are completely constrained. The coupling between quark-antiquark and meson-meson Fock components is done using a ${}^3{P}_0$ model in which its only free parameter $\gamma$ has been elucidated performing a global fit to the decay widths of mesons that belong to different quark sectors, from light to heavy. We observe that the coupling of the $0^{+}$ $(1^{+})$ meson sector to the $DK$ $(D^{\ast }K)$ threshold is the key feature to simultaneously lower the masses of the corresponding $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ states predicted by the naive quark model and describe the $D_{s1}(2536)$ meson as the $1^{+}$ state of the $j_q^P=3/2^{+}$ doublet predicted by heavy quark symmetry, reproducing its strong decay properties. Our calculation allows to introduce the coupling with the $D$-wave $D^{\ast }K$ channel and the computation of the probabilities associated with the different Fock components of the physical state.

11 pages, 3 figures, 7 tables

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• Quark-model study of few-baryon systems
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Axial Resonances in the Open and Hidden Charm Sectors
• Bottomonium spectrum revisited
• Charmed-strange mesons revisited: mass spectra and strong decays
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