A Semi-Relativistic Treatment of Spinless Particles Subject to the Nuclear Woods-Saxon Potential

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Journal Title, Volume, Page: 
Chinese Physics C, Vol. 37, No. 6, 063101
Year of Publication: 
S. M. Ikhdair
Physics Department, Near East University, 922022 Nicosia, North Cyprus, Mersin 10, Turkey
Current Affiliation: 
Department of Physics, An-Najah National University, Nablus, Palestine
M. Hamzavi
Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
A. A. Rajabi
Physics Department, Shahrood University of Technology, Shahrood, Iran
Preferred Abstract (Original): 

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 l-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 Schrödinger-Woods-Saxon problem for an arbitrary l-state and the exact s-wave (l=0).