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SCHRÖDINGER EQUATION FOR HEAVY MESONS EXPANDED IN 1/mQ

1996
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Modern Physics Letters A
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Operating just once the naive Foldy-Wouthuysen-Tani transformation on the Schrödinger equation for Qq̅ bound states described by a hamiltonian, we systematically develop a perturbation theory in 1/m_Q which enables one to solve the Schrödinger equation to obtain masses and wave functions of the bound states in any order of 1/m_Q. It is shown that positive energy projection with respect to the heavy quark sector of a wave function is, at each order of perturbation, proportional to the 0-th order

doi:10.1142/s0217732396000291
fatcat:esyuih23wfbxzkwkgnwb2s2apa