Multichannel calculation of the very narrow $D_{s0}^{\ast }(2317)$ and the very broad $D_0^{\ast }(2300-2400)$

Abstract

The narrow $D_{s0}^{\ast }$(2317) and broad $D_0^{\ast }$(2300-2400) charmed scalar mesons and their radial excitations are described in a coupled-channel quark model that also reproduces the properties of the light scalar nonet. All two-meson channels containing ground-state pseudoscalars and vectors are included. The parameters are chosen fixed at published values, except for the overall coupling constant $\lambda$, which is fine-tuned to reproduce the $D_{s0}^{\ast }$(2317) mass, and a damping constant $\alpha$ for subthreshold contributions. Variations of $\lambda$ and $D_0^{\ast }$(2300-2400) pole postions are studied for different $\alpha$ values. Calculated cross sections for $S$-wave $DK$ and $D\pi$ scattering, as well as resonance pole positions, are given for the value of $\alpha$ that fits the light scalars. The thus predicted radially excited state ${D_{s0}^{\ast }}^{\prime }$(2850), with a width of about 50 MeV, seems to have been observed already.

3 pages, EPJ LaTeX, 2 Postscript figures, 1 table; parallel talk at the IVth International Conference on Quarks and Nuclear Physics (QNP06), Madrid, 5-10 June 2006

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• Modified Breit-Wigner formula for mesonic resonances describing OZI decays of confined $q\bar{q}$ states and the light scalar mesons
• From the Kappa via the Ds0*(2317) to the chi_c0: connecting light and heavy scalar mesons
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Cited by in corpus (8)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Hadron Loops: General Theorems and Application to Charmonium
• Interpretation of the X(3872) as a charmonium state plus an extra component due to the coupling to the meson-meson continuum
• Higher mass bottomonia
• Higher excitations of the $D$ and $D_s$ mesons
• $D_{sJ}$(2317) meson production at RHIC
• Modern meson spectroscopy: the fundamental role of unitarity
• Scalar and axial-vector mesons