1208.5337 (Majid Hamzavi et al.)

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

Majid Hamzavi, Sameer M. Ikhdair, Ali Akbar Rajabi

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 Schr\"odinger-Woods-Saxon problem for arbitrary l -state and the exact s-wave (l=0).

View original: http://arxiv.org/abs/1208.5337