arXiv:nucl-th/9703019·v1·Nuclear Theory
Stochastic Methods for Zero Energy Quantum Scattering
Justus H. Koch (1,2)🇩🇪 · Hubertus R. Mall(1)🇩🇪 · Stefan Lenz(1) ((1)Institut f. Theoretische Physik III, Universität Erlangen - Nürnberg (2)National Institute for Nuclear Physics and High Energy Physics (NIKHEF) and Institute for Theoretical Physics, University of Amsterdam)🇩🇪
Abstract
We investigate the use of stochastic methods for zero energy quantum scattering based on a path integral approach. With the application to the scattering of a projectile from a nuclear many body target in mind, we use the potential scattering of a particle as a test for the accuracy and efficiency of several methods. To be able to deal with complex potentials, we introduce a path sampling action and a modified scattering observable. The approaches considered are the random walk, where the points of a path are sequentially generated, and the Langevin algorithm, which updates an entire path. Several improvements are investigated. A cluster algorithm for dealing with scattering problems is finally proposed, which shows the best accuracy and stability.
Comments: 40 pages LaTeX, 1 Postscript file containig 20 figures; execute main.tex file, which automatically will include other files