SCHRÖDINGER EQUATION FOR HEAVY MESONS EXPANDED IN 1/mQ

TAKAYUKI MATSUKI
1996 Modern Physics Letters A  
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
more » ... solution. There appear also negative components of the wave function except for the 0-th order, which contribute also to higher order corrections to masses.
doi:10.1142/s0217732396000291 fatcat:esyuih23wfbxzkwkgnwb2s2apa