Continuous Analog of Newton Method in the Multichannel Scattering Problem
Abstract
A method is presented for a numerical solution of the multichannel scattering problem with a large number of closed channels ( ∼300). The scattering problem is reduced to a nonlinear functional equation which is subsequently solved using the continuous analog of Newton method. The efficiency of the approach is demonstrated by solving the onechannel scattering problem for which an analytic solution exists and a multichannel problem arising in the consideration of inelastic collisions in a threebody system. In particular, the scattering cross sections of tritium mesic atoms in the singlet and triplet states of the hyperfine structure including the spin flip cross sections are calculated.
 Publication:

Journal of Computational Physics
 Pub Date:
 July 1986
 DOI:
 10.1016/00219991(86)90001X
 Bibcode:
 1986JCoPh..65....1M