Spectroscopy of Heavy Mesons Expanded in 1/mQ

Abstract

Operating just once with the naive Foldy–Wouthuysen–Tani transformation on the Schrödinger equation for Q_q bound states, described by the Hamiltonian which includes Coulomb-like as well as confining scalar potentials, we have calculated the heavy meson spectrum of D, D*, B and B*. Based on a formulation recently proposed, their masses and wave functions are expanded in 1=m_Q, with a heavy quark mass m_Q, up to the second order. The lowest order equation is examined carefully to obtain a complete set of eigenfunctions for the Schrödinger equation.