Numerical solution of two-body relativistic equations for the bound-state problem with confining and Coulomb potentials

Recent investigations of the meson spectroscopy often have been based on mo dels considering mesons as quark-antiquark bound states. These models are d escribed by three-dimensional relativistic equations with various generaliz ations of Coulomb and confining potentials in momentum space. Algorithms an d codes are developed for numerical investigations of these equations. The modified Generalized Continuous analogue of the Newton method is used. The numerical results demonstrate the efficiency of the created software. The c ode allows obtaining a numerical solution with a required accuracy. The num erical results are compared with the same results obtained by other authors . (C) 2000 Elsevier Science B.V. All rights reserved.