SEMI-RELATIVISTIC SOLUTIONS OF THE TWO-BODY SPINLESS SALPETER EQUATION UNDER THE WOODS–SAXON POTENTIAL AND THE PEKERIS APPROXIMATION
2013 ◽
Vol 22
(06)
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pp. 1350039
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In this paper, by applying the Pekeris approximation and in the frame of Supersymmetric Quantum Mechanics (SUSYQM), the semi-relativistic solutions of the two-body spinless Salpeter equation are obtained analytically. For an interaction of nuclear form, we obtain the approximate bound-state energy eigenvalues and the corresponding wave functions using the shape invariance concept. The solutions are reported for any l state and some energy eigenvalues are given. These results are useful in elementary-particle physics and nuclear physics to obtain the bound states spectra of relativistic systems such as fermion–antifermion systems.
2016 ◽
Vol 25
(01)
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pp. 1650002
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2009 ◽
Vol 18
(03)
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pp. 631-641
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2001 ◽
Vol 16
(12)
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pp. 2195-2204
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2010 ◽
Vol 25
(21)
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pp. 4067-4079
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Keyword(s):
2005 ◽
Vol 14
(06)
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pp. 931-947
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