We perform a preliminary study of the 1 2 + and 3 2 + ground-state baryons containing a heavy quark in the framework of the chiral SU(3) quark model. By using the calculus of variations, masses of Λ𝑄, Σ𝑄, Ξ𝑄, Ω𝑄, Σ * 𝑄 , Ξ * 𝑄 and Ω * 𝑄 , where 𝑄 means 𝑐 or 𝑏 quark, are calculated. By taking reasonable model parameters, the numerical results of established heavy baryons are generally in agreement with the experimental data available, except that those of Ξ𝑄 are somewhat heavier. For Ω 𝑏 with undetermined experimental mass and unobserved Ξ * 𝑏 , Ω * 𝑏 , reasonable theoretical predictions are obtained. Interactions inside baryons are also discussed.
The 𝐷𝐾 interaction is relevant to the interpretation of the 𝐷𝑠𝐽 (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 of whether a molecular state exists in 𝐷𝐾 or the 𝐷 * 𝐾 system, more details of dynamics should be considered in a future study.
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