New analytical independent-particle model potential for atoms

• Authors: Fei Yu , Jiu-Xun Sun
• Languages of publication: EN

Abstracts

EN

A new analytical, independent-particle model potential with four shell-independent parameters is proposed, which is suitable for high, medium, and low Z atoms. The four parameters are determined for 101 atoms from Li to Lr by fitting the results of the X
a method found in the literature. The average fitting error 0.675% of the new potential for the 101 atoms is far better than 3.92% of the widely used Green’s potential. The radial Schrödinger equation with the new potential is solved by using Numerov’s numerical method for 7 typical atoms: Ne, Ca, Zn, Zr, Sn, Yb, and Th. The energy eigenvalues, radial wave functions, and atomic ground-state energy are in good agreement with the results of the X
a method. The new potential here shows greater flexibility and better accuracy compared with the Green’s potential.

Keywords

EN

atomic structure; independent-particle model; energy eigenvalues

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 4
• Pages: 643-651

Dates

published

1 - 8 - 2010

online

22 - 5 - 2010

Contributors

author

Fei Yu

author

Jiu-Xun Sun

• Department of Applied Physics, University of Electronic Science and Technology, Chengdu, 610054, People’s Republic of China

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Identifiers

DOI

10.2478/s11534-009-0136-3