A new approach towards solving the problem of composite particle scattering in nucleus field

A new approach towards solving the problem of composite particle elastic and inelastic scattering in the field of a stable nuclear target is described. In the method, all the channels of virtual breakup and stripping in the intermediate states are included into a nonlocal complex operator of composite-particle-target interaction using the projection operator technique. Three-particle continuum spectrum of Hamiltonian of intermediate states is calculated using the orthogonalizing pseudopotentials method with entering of pseudo-Hamiltonian, which is diagonalized on the appropriate harmonic oscillator basis. Application of the spectral quadratures make it possible to reduce the interaction over continuous spectrum of intermediate states to a summation over the discretized continuum. On the basis of the general formalism developed a closed Schroedinger equation with nonlocal complex potential for partial waves is derived for description of elastic scattering of the composite particle off stable target and also an explicit approximate formula for three-body breakup amplitude. The developed method has a series of evident advantages over well-known for today approaches like continuum discretized coupled-channel method, in which the solving of the given problem has been reduced to solution of very complicated coupled-channel equations