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We perform a preliminary study of the 1/2+ and 3/2+ ground-state baryonscontaining a heavy quark in the framework of the chiral SU(3) quark model. Byusing the calculus of variations, masses of Lambda_Q, Sigma_Q, Xi_Q, Omega_Q,Sigma_Q^*, Xi_Q^* and Omega_Q^*, where Q means c or b quark, are calculated.With taking reasonable model parameters, the numerical results of establishedheavy baryons are generally in agreement with the available experimental data,except that those of Xi_Q are somewhat heavier. For Omega_b with undeterminedexperimental mass and nobserved Xi_b^*, Omega_b^*, reasonable theoreticalpredictions are obtained. Interactions inside baryons are also discussed.

A Primary Study of Heavy Baryons Lambda_Q, Xi_Q, Sigma_Q and Omega_Q