SplineGalerkin Solution of Integral Equations for ThreeBody Scattering above BreakUp
Abstract
We investigate a Galerkin method for solving the integral equations for threebody scattering at energies above the breakup threshold. The scattering equations that we consider are onedimensional integral equations that arise from a separable potential model. Cubic spline approximants with multiple knots are used to construct a nonsmooth solution function. Numerical results are obtained both for a system of spin0 (boson) and spin {1}/{2} (fermion) particles interacting via separable twobody potentials. The results demonstrate that our numerical treatment of this problem is both robust and accurate with a small number of basis functions.
 Publication:

Journal of Computational Physics
 Pub Date:
 February 1986
 DOI:
 10.1016/00219991(86)90135X
 Bibcode:
 1986JCoPh..62..383A
 Keywords:

 Galerkin Method;
 Integral Equations;
 Scattering Functions;
 Three Body Problem;
 Cauchy Problem;
 Linear Equations;
 Pade Approximation;
 Singularity (Mathematics);
 Spline Functions;
 Physics (General)