Three-body breakup within the fully discretized Faddeev equations
Abstract
A novel approach is developed to find the three-body breakup amplitudes and cross sections within the modified Faddeev equation framework. The method is based on the latticelike discretization of the three-body continuum with a three-body stationary wave-packet basis in momentum space. The approach makes it possible to simplify drastically all the three- and few-body breakup calculations due to discrete representation for the few-body continuum and lattice representation for all the scattering operators entering the integral equation kernels. As a result, the few-body breakup can be treated as a particular case of multichannel scattering in which part of the channels represents the true few-body continuum states. As an illustration for the novel approach, an accurate calculations for the three-body breakup process n+d→n+n+p with nonlocal and local NN interactions are calculated. The results obtained reproduce nicely the benchmark calculation results using the traditional Faddeev scheme which requires much more tedious and time-consuming calculations.
- Publication:
-
Physical Review C
- Pub Date:
- September 2012
- DOI:
- 10.1103/PhysRevC.86.034004
- arXiv:
- arXiv:1205.5730
- Bibcode:
- 2012PhRvC..86c4004R
- Keywords:
-
- 03.65.Nk;
- 21.45.-v;
- 24.10.Ht;
- Scattering theory;
- Few-body systems;
- Optical and diffraction models;
- Nuclear Theory
- E-Print:
- 17 pages, 13 figures