Spectroscopy of heavy mesons expanded in1/mQ

Starting from the semirelativistic Hamiltonian for a $Q\overline{q}$ system with Coulomb and linear confining scalar potentials, and operating just once with the naive Foldy-Wouthuysen-Tani transformation on the heavy quark, we have calculated the heavy meson mass spectra of $D$ and $B$ together with higher spin states. Based on the formulation recently proposed, their masses and wave functions are expanded up to second order in ${1/m}_Q$ with a heavy quark mass $m_Q$ and the lowest-order equation is examined carefully to obtain a complete set of eigenfunctions for the Schrödinger equation. Heavy quark effective theory parameters $\overline{\Lambda }$, ${\lambda }_1$, and ${\lambda }_2$ are also determined at first and second order in ${1/m}_Q.$