Stochastic Methods for Zero Energy Quantum Scattering

Details Stochastic Methods for Zero Energy Quantum Scattering Stochastic Methods for Zero Energy Quantum Scattering

1997-03-10

arxiv.org/abs/nucl-th/9703019v1

Physics

Nuclear Physics

Nuclear Theory

40 pages LaTeX, 1 Postscript file containig 20 figures; execute main.tex file, which automatically will include other files

Scientific paper

10.1016/S0010-4655(97)00130-6

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.

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