Modified Faddeev Equations Research Articles

Application of quantum-theoretical three-body scattering to the calculation of proton-deuteron collisions

A rigorous formalism appropriate for the description of three-body scattering processes with charged particles is described. It is based on the three-body modified Faddeev equation in configuration space with boundary conditions. A numerical method for solving these equations is described. It is applied to proton-deuteron elastic scattering and break up. The results of the calculations are compared with available experimental data and other calculations.

Integral equations for three-particle systems with coulomb interaction

Modified Faddeev equations are formulated that may be used for studying the wave functions below and also above the threshold.

Variational Approach to the Faddeev Equations

A variational principle is formulated as a means for obtaining approximate solutions to the Faddeev integral equations for the nonrelativistic three-body scattering problem. Bound states are described by the homogeneous version of the Faddeev equations. In this case a minimum principle for the binding energies is obtained in close analogy with the familiar Rayleigh-Ritz method. An effective potential is defined as the solution of a set of modified Faddeev equations. The variational principle therefore applies to the effective potential. This is shown to be a minimum principle for the eigenphase shifts for energies below the three-particle breakup threshold. Some formal applications of the variational principle are described. These include derivations, within the Faddeev formalism, of a normalization condition for bound-state wave functions, a distorted-wave theory, and a perturbation theory for discrete states.