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We extend the chromomagnetic model by further considering the effect of colorinteraction. The effective mass parameters between quark pairs ($m_{qq}$ or$m_{q\bar{q}}$) are introduced to account both the effective quark masses andthe color interaction between the two quarks. Using the experimental masses ofhadrons, the quark pair parameters are determined between the light quark pairsand the light-heavy quark pairs. Then the parameters of heavy quark pairs($cc$, $cb$, $bb$) are estimated based on simple quark model assumption. Wecalculate all masses of doubly and triply heavy-quark baryons. The newlydiscovered doubly charmed baryon $\Xi_{cc}$ fits into the model with an errorof 12 MeV.

Masses of doubly heavy-quark baryons in an extended chromomagnetic model