Abstract
The analytical bound state solutions of the Dirac equation for the Manning-Rosen potential are carried out by a new proper approximation to the spin-orbit coupling term. The energy spectrum formula and the corresponding two-component spinor wave functions of the Dirac equation are obtained for the application of the Supersymmetric Quantum Mechanics (SUSYQM). We study three special cases; the general s -wave problem, spin symmetry and pseudospin symmetry.
Similar content being viewed by others
References
P.R. Page, T. Goldman, J.N. Ginocchio, Phys. Rev. Lett. 86, 204 (2001).
A. Bohr, I. Hamamoto, B.R. Mottelson, Phys. Scr. 26, 267 (1982).
J. Dudek, W. Nazarewicz, Z. Szymanski, G.A. Leander, Phys. Rev. Lett. 59, 1405 (1987).
D. Troltenier, C. Bahri, J.P. Draayer, Nucl. Phys. A 586, 53 (1995).
J.N. Ginocchio, D.G. Madland, Phys. Rev. C 57, 1167 (1998).
J.Y. Gou, F.X. Zang, F.X. Xu, Nucl. Phys. A 757, 411 (2005).
A.S. De Castro, P. Alberto, R. Lisboa, M. Malheiro, Phys. Rev. C 73, 054309 (2006).
J.Y. Gou, Z.Q. Sheng, Phys. Lett. A 338, 90 (2005).
O. Bayrak, I. Boztosun, J. Phys. A 40, 11119 (2007).
A. Soylu, O. Bayrak, I. Boztosun, J. Math. Phys. 48, 082302 (2007).
L.H. Zhang, X.P. Li, C.S. Jia, Phys. Lett. A 372, 2201 (2008).
C.S. Jia et al., Phys. Scr. 75, 388 (2007).
C.S. Jia et al., Eur. Phys. J. A 34, 41 (2007).
F. Taskin, Int. J. Theor. Phys. 48, 1142 (2009).
H. Feizi, M.R. Shojaei, A.A. Rajabi, Eur. Phys. J. Plus 127, 41 (2012).
A. Arda, R. Sever, C. Tezcan, Chin. J. Phys. 48, 27 (2010).
W. Greiner, Relativistic quantum mechanics: wave equations (Springer, 2000).
P.Q. Wang, J.Y. Liu, L.H. Zhang, S.Y. Cao, C.S. Jia, J. Mol. Spectrosc. 278, 23 (2012).
P.Q. Wang, L.H. Zhang, C.S. Jia, J.Y. Liu, J. Mol. Spectrosc. 274, 5 (2012).
P.G. Hajigeorgiou, J. Mol. Spectrosc. 263, 101 (2010).
G.F. Wei, C.Y. Long, S.H. Dong, Phys. Lett. A 372, 2592 (2008).
G.F. Wei, C.Y. Long, S.H. Dong, Phys. Lett. A 373, 49 (2008).
M.F. Manning, Phys. Rev. 44, 951 (1933).
M.F. Manning, N. Rosen, Phys. Rev. 44, 953 (1933).
S.M. Ikhdair, R. Sever, Ann. Phys. (Berlin) 17, 897 (2008).
W.C. Qiang, S.H. Dong, Phys. Scr. 79, 045004 (2009).
F. Cooper, A. Khare, U. Sukhatme, Supersymmetry in Quantum Mechanics (World Scientific, 2004).
S.M. Ikhdair, Eur. Phys. J. A. 39, 307 (2009).
W.C. Qiang et al., Int. J. Mod. Phys. A 24, 5523 (2009).
G.F. Wei, S.H. Dong, Phys. Lett. B 686, 288 (2010).
A. Diaf, A. Chouchaoui, R.L. Lombard, Ann. Phys. (Paris) 317, 354 (2005).
L. Gendenshtein, JETP Lett. 38, 356 (1983).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Feizi, H., Ranjbar, A.H. Relativistic symmetries of the Manning-Rosen potential in the frame of supersymmetry. Eur. Phys. J. Plus 128, 3 (2013). https://doi.org/10.1140/epjp/i2013-13003-7
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2013-13003-7