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

Journal Article · Sat Jun 28 04:00:00 EDT 2008 · Journal of Chemical Physics

DOI:https://doi.org/10.1063/1.2944271· OSTI ID:21104066

Huili, Han ^[1]; Yong, Li ^[2]; Xianzhou, Zhang ^[3]; Tingyun, Shi ^[1]

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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, Journal Name: Journal of Chemical Physics Journal Issue: 24 Vol. 128; ISSN JCPSA6; ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BINDING ENERGY
CONVERGENCE
COORDINATES
GEOMETRY
LITHIUM
OPTIMIZATION
POSITRONS
SCHROEDINGER EQUATION
SODIUM