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Starting from the semirelativistic Hamiltonian for a doubly heavy baryonsystem ($QQq$) with Coulomb and linear confining scalar potentials, andoperating the naive Foldy-Wouthuysen-Tani transformation on two heavy quarks, Iconstruct a formulation how to calculate mass spectra and wave functions ofdoubly heavy baryons. Based on our formulation, their masses and wave functionsare expanded in $1/m_Q$ with a heavy quark mass $m_Q$ and the $\lambda$ modelowest-order equation is examined carefully to obtain a complete set ofeigenfunctions. I claim that the $\rho$ mode wave function should be given byother nonrelativistic methods, e.g., the Godfrey-Isgur model to give a completewave function for a doubly heavy baryon.

Doubly Heavy Baryons Expanded in $1/m_Q$