Application of the R-matrix Theory to Low-Energy Potential Scattering

Conference paper

Application of the R-matrix Theory to Low-Energy Potential Scattering

Šulc M.; Horáček J.

In: CPI168, Numerical Analysis and Applied Mathematics, International Conference 2009, ed. T.E. Simos, G. Psihoyios, and Ch. Tsitouras, American Institute of Physics 978-0-7354-0705-3/09/$25.00 (2009)

Abstract

In this work we present a fast and stable method for solving the one-channel Lippmann-Schwinger equation in the case of potential electron-molecular scattering. Our approach benefits from the accurate constuction of the Green's function based on the R-matrix framework. We focus on long range spherically symmetric local interactions and show how to adapt our method for accurate computation of scattering length and effective range in this case. As a byproduct of our calculations also the number of bound states supported by the potential can be easily determined. Numerical tests are performed on a class of potentials (driven by the van der Waals like terms ~r^6 for large r) describing the ground state interaction of Cs2 and 4He2 dimers. Comparison with alternative techniques is also given. Accurate results are of particular importance especially
in view of the interest in Bose-Einstein condensation of ultracold gases.

Institute authors

Horáček, Jiří

BibTeX

@inproceedings{UTF412,
  author        = {Šulc M. and Horáček J.},
  title         = {{Application of the R-matrix Theory to Low-Energy Potential Scattering}},
  booktitle     = {CPI168, Numerical Analysis and Applied Mathematics, International Conference 2009},
  editor        = {T.E. Simos, G. Psihoyios, and Ch. Tsitouras},
  publisher     = {American Institute of Physics 978-0-7354-0705-3/09/\$25.00},
  volume        = {1},
  year          = {2009},
}