A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential

By applying an appropriate Pekeris approximation to deal with the centrifugal term, we present an approximate systematic solution of the two-body spinless Salpeter （SS） equation with the Woods-Saxon interaction potential for an arbitrary/-state. The analytical semi-relativistic bound-state energy ei...

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Bibliographic Details
Published inChinese physics C Vol. 37; no. 6; pp. 12 - 17
Main Authors Hamzavi, M., Ikhdair, S. M., Rajabi, A. A.
Format Journal Article
LanguageEnglish
Published 01.06.2013
Subjects
Approximation
Eigenvalues
Energy (nuclear)
Mathematical analysis
Wave functions
Woods-Saxon势
任意波形
治疗
波函数
状态方程
相互作用势
相对论
颗粒
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Summary:By applying an appropriate Pekeris approximation to deal with the centrifugal term, we present an approximate systematic solution of the two-body spinless Salpeter （SS） equation with the Woods-Saxon interaction potential for an arbitrary/-state. The analytical semi-relativistic bound-state energy eigenvalues and the corresponding wave functions are calculated. Two special cases from our solution are studied： the approximated SchrSdinger- Woods-Saxon problem for an arbitrary/-state and the exact s-wave （l=0）.
Bibliography:By applying an appropriate Pekeris approximation to deal with the centrifugal term, we present an approximate systematic solution of the two-body spinless Salpeter （SS） equation with the Woods-Saxon interaction potential for an arbitrary/-state. The analytical semi-relativistic bound-state energy eigenvalues and the corresponding wave functions are calculated. Two special cases from our solution are studied： the approximated SchrSdinger- Woods-Saxon problem for an arbitrary/-state and the exact s-wave （l=0）.
M. Hamzavi S.M. Ikhdair A.A. Rajabi（ Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran 2 Physics Department, Near East University~ 922022 Nieosia, North Cyprus, Mersin 10, Turkey and Department of Physics, An-Najah NationM University, Nablus, West Bank, Palestine 3 Physics Department, Shahrood University of Technology, Shahrood, Iran）
11-5641/O4
spinless Salpeter equation, usual Woods-Saxon potential, Nikiforov-Uvarov method
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1674-1137
0254-3052
DOI:10.1088/1674-1137/37/6/063101