ANY l-STATE SOLUTIONS OF THE WOODS-SAXON POTENTIAL IN ARBITRARY DIMENSIONS WITHIN THE NEW IMPROVED QUANTIZATION RULE

被引:26
作者
Ikhdair, Sameer M. [1 ]
Sever, Ramazan [2 ]
机构
[1] Near East Univ, Dept Phys, Nicosia, Cyprus
[2] Middle E Tech Univ, Dept Phys, TR-06800 Ankara, Turkey
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2010年 / 25卷 / 20期
关键词
Woods-Saxon potential; improved quantization rule; Pekeris approximation; NIKIFOROV-UVAROV METHOD; PSEUDOSPIN SYMMETRY; DIRAC-EQUATION; VARIABLE DIMENSIONALITY; DIATOMIC-MOLECULES; SPIN; CLUSTERS; SYSTEMS; NUCLEI; ATOMS;
D O I
10.1142/S0217751X10050160
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
The approximated energy eigenvalues and the corresponding eigenfunctions of the spherical Woods-Saxon effective potential in D dimensions are obtained with in the new improved quantization rule for all l-states. The Pekeris approximation is used to deal with the centrifugal term in the effective Woods-Saxon potential. The interdimensional degeneracies for various orbital quantum number l and dimensional space D are studied. The solutions for the Hulthen potential, the three-dimensional (D = 3), the s-wave (l = 0) and the cases are briefly discussed.
引用
收藏
页码:3941 / 3952
页数:12
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