$D_{s3}^{\ast }(2860)$ and $D_{s1}^{\ast }(2860)$ as the 1D $c\bar{s}$ states

Abstract

In this article, we take the $D_{s3}^{\ast }(2860)$ and $D_{s1}^{\ast }(2860)$ as the $1^3{\mathrm{D}}_3$ and $1^3{\mathrm{D}}_1$ $c\bar{s}$ states, respectively, study their strong decays with the heavy meson effective theory by including the chiral symmetry breaking corrections. We can reproduce the experimental data $\mathrm{Br}\left(D_{sJ}^{\ast }(2860)\to D^{\ast }K\right)/\mathrm{Br}\left(D_{sJ}^{\ast }(2860)\to DK\right)=1.10\pm 0.15\pm 0.19$ with suitable hadronic coupling constants, the assignment of the $D_{sJ}^{\ast }(2860)$ as the $D_{s3}^{\ast }(2860)$ is favored, the chiral symmetry breaking corrections are large. Furthermore, we obtain the analytical expressions of the decay widths, which can be confronted with the experimental data in the future to fit the unknown coupling constants. The predictions of the ratios among the decay widths can be used to study the decay properties of the $D_{s3}^{\ast }(2860)$ and $D_{s1}^{\ast }(2860)$ so as to identify them unambiguously. On the other hand, if the chiral symmetry breaking corrections are small, the large ratio $R=1.10\pm 0.15\pm 0.19$ requires that the $D_{sJ}^{\ast }(2860)$ consists of at least four resonances $D_{s1}^{\ast }(2860)$, $D_{s2}^{\ast }(2860)$, $D_{s2}^{\ast \prime }(2860)$, $D_{s3}^{\ast }(2860)$.

11 pages

References in corpus (5)

• $D_{sJ}(2860)$ and $D_{sJ}(2715)$
• Canonical Interpretation of the D_{sJ}(2860) and D_{sJ}(2690)
• D_{sJ}(2860) as the first radial excitation of the D_{s0}^*(2317)
• $D_{sJ}(2860)$ resonance and the $s_{\ell }^P={\frac{5}{2}}^{-}$ $c\bar{s}$ ($c\bar{q}$) doublet
• Analysis of the decays ${\psi }^{\prime }\to J/\psi {\pi }^{+}{\pi }^{-}$ and ${\eta }_c^{\prime }\to {\eta }_c{\pi }^{+}{\pi }^{-}$ with the heavy quark symmetry

Cited by in corpus (9)

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• Excited bottom and bottom-strange mesons in the quark model
• Charmed-strange Meson Spectrum: Old and New Problems
• Mass spectra and strong decays of charmed and charmed-strange mesons
• Chiral Lagrangians for mesons with a single heavy quark
• Study of B, Bs mesons using heavy quark effective theory
• Strong decays of the charmed mesons $D_1^{\ast }(2680)$, $D_3^{\ast }(2760)$, $D_2^{\ast }(3000)$
• Study on radiative decays of $D_{sJ}^{\ast }(2860)$ and $D_{s1}^{\ast }(2710)$ into $D_s$ by means of LFQM
• Systematic analysis of the D-wave charmonium states with the QCD sum rules