A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential (original) (raw)

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 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 arbitrary l-state and the exact s-wave (0 l ).

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