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arXiv · hep-ph/0610188

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

George Rupp·Eef van Beveren
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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 $λ$, which is fine-tuned to reproduce the $D_{s0}^{\ast}$(2317) mass, and a damping constant $α$ for subthreshold contributions. Variations of $λ$ and $D_0^{\ast}$(2300-2400) pole postions are studied for different $α$ values. Calculated cross sections for $S$-wave $DK$ and $Dπ$ scattering, as well as resonance pole positions, are given for the value of $α$ that fits the light scalars. The thus predicted radially excited state ${D_{s0}^*}'$(2850), with a width of about 50 MeV, seems to have been observed already.

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George Rupp, Eef van Beveren. 2006-10-16. Multichannel calculation of the very narrow $D_{s0}^*(2317)$ and the very broad $D_0^*(2300-2400)$. https://doi.org/10.1140/epja%2Fi2006-10269-3

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