Short-range interaction in three-dimensional quantum mechanics
arXiv:1008.5002 · doi:10.1016/j.physleta.2010.09.040
Abstract
We show that it is possible to define shape-independent three-dimensional short-range quantum interactions in two parameter form for non-spherical angular momentum channels through double rescaling of potential strength. Unlike the special case of , where the zero range limit of the system is renormalizable, the effective ranges diverge for channels, and the system becomes trivial at zero-size limit. It is also shown that the two-parameter representation with finite interaction range is useful in analyzing phase shifts with accuracy and describing resonances in non-spherical scatterings.
LaTeX 7 pages, 3 figures, Elsevier format