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arXiv · 0905.1804

S-wave DK interactions in the chiral SU(3) quark model

Dan Zhang·Qiao-Yan Zhao·Qiu-Yang Zhang
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Abstract

The $DK$ interaction is relevant to the interpretation of the $D_{sJ}(2317)$. We dynamically investigate $S$-wave $DK$ interactions in the chiral SU(3) quark model by solving the resonating group method equation. The numerical results show an attraction between $D$ and $K$, which is from boson exchanges between light quarks. However, such an attraction is not strong enough to form a $DK$ molecule. Meanwhile, $S$ partial wave phase shifts of $DK$ elastic scattering are obtained. The case of $S$-wave $D^*K$ is rather similar to that of $DK$. To draw a definite conclusion whether a molecular state exists in $DK$ or $D^*K$ system, more details of dynamics should be considered in further study.

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Dan Zhang, Qiao-Yan Zhao, Qiu-Yang Zhang. 2009-08-14. S-wave DK interactions in the chiral SU(3) quark model. https://doi.org/10.1088/0256-307x%2F26%2F9%2F091201

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