A semi-relativistic treatment of spinless particles subjectto 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 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).
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S. M. Ikhdair and A. A. Rajabi. A semi-relativistic treatment of spinless particles subjectto the nuclear Woods-Saxon potential[J]. Chinese Physics C, 2013, 37(6): 063101. doi: 10.1088/1674-1137/37/6/063101
S. M. Ikhdair and A. A. Rajabi. A semi-relativistic treatment of spinless particles subjectto the nuclear Woods-Saxon potential[J]. Chinese Physics C, 2013, 37(6): 063101.  doi: 10.1088/1674-1137/37/6/063101 shu
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Received: 2012-07-09
Revised: 2012-08-16
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A semi-relativistic treatment of spinless particles subjectto the nuclear Woods-Saxon potential

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 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).

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