Threshold properties of attractive and repulsive 1/r^2 potentials

URN to cite this document:: urn:nbn:de:bvb:355-epub-89713
DOI to cite this document:: 10.5283/epub.8971

Moritz, Michael J. ; Eltschka, Christopher ; Friedrich, Harald

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Date of publication of this fulltext: 28 Apr 2010 11:44

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Abstract

We study the near-threshold (E-->0) behavior of quantum systems described by an attractive or repulsive 1/r^2 potential in conjunction with a shorter-ranged 1/r^m (m>2) term in the potential tail. For an attractive 1/r^2 potential supporting an infinite dipole series of bound states, we derive an explicit expression for the threshold value of the pre-exponential factor determining the absolute ...