skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Binding energy and geometry of e{sup +}A (A=Li,Na) by the hyperspherical approach

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.2944271· OSTI ID:21104066
 [1];  [2];  [3];  [1]
  1. State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071 (China)
  2. Department of Physics, Huazhong Normal University, Wuhan 430079 (China)
  3. Department of Physics, Henan Normal University, XinXiang 453007 (China)

We calculate the binding energy and geometry of the weakly bound e{sup +}Li and e{sup +}Na systems within the framework of hyperspherical coordinates. The Schroedinger equation in hyperangular coordinates is solved at a series of fixed hyper-radii using B-splines and the resulting coupled hyper-radial equation is solved using the slow variable discretization method developed by Tolstikhin et al. [J. Phys. B 29, L389 (1996)]. Great efforts are made in optimizing the distribution of B-splines to overcome the slow convergence of the binding energy and geometrical quantities. This approach allows us to obtain the results with improved convergence that are in good agreement with the best values reported to date. In addition, an analysis of the structure of the two systems is also made and the e{sup +}Na system is seen to exhibit quantum halo features.

OSTI ID:
21104066
Journal Information:
Journal of Chemical Physics, Vol. 128, Issue 24; Other Information: DOI: 10.1063/1.2944271; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9606
Country of Publication:
United States
Language:
English