A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential
arXiv:1208.5337 · doi:10.1088/1674-1137/37/6/063101
Abstract
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 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 Schrödinger-Woods-Saxon problem for arbitrary l -state and the exact s-wave (l=0).
14 pages; 4 figures, to appear in Chinese Physics C (2012)
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