Abstract.
In this paper, we present exact solutions of the Dirac equation with the mixed scalar-vector-pseudoscalar Hulthén potential under spin and pseudospin (p-spin) symmetry limits in 1 + 1 dimensions. By using the generalized parametric Nikiforov-Uvarov (NU) method, the energy eigenvalues and corresponding eigenfunctions are given in closed form and some numerical results are presented too.
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References
J.N. Ginocchio, Phys. Rep. 414, 165 (2005)
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)
P.R. Page, T. Goldman, J.N. Ginocchio, Phys. Rev. Lett. 86, 204 (2001)
K.T. Hecht, A. Adler, Nucl. Phys. A 137, 129 (1969)
A. Arima, M. Harvey, K. Shimizu, Phys. Lett. B 30, 517 (1969)
J.N. Ginocchio, A. Leviatan, J. Meng, S.G. Zhou, Phys. Rev. C 69, 034303 (2004)
J.N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997)
L. Hulthén, Ark. Math. Astron. Fys. A 28, 5 (1942)
L. Hulthén, Ark. Math. Astron. Fys. A 29, 1 (1942)
U. Myhrman, J. Phys. A: Math. Gen. 16, 263 (1983)
B. Roy, R. Roychoudhury, J. Phys. A: Math. Gen. 23, 5095 (1990)
S.M. Ikhdair, Eur. Phys. J. A 39, 307 (2009)
S.M. Ikhdair, R. Sever, J. Phys. A: Math. Theor. 44, 355301 (2011)
S.W. Qian, B.W. Huang, Z.Y. Gu, New J. Phys. 4, 13 (2002)
A. Soylu, O. Bayrak, I. Boztosun, J. Math. Phys. 48, 082302 (2007)
S. Haouat, L. Chetouani, Phys. Scr. 77, 025005 (2008)
L.B. Castro, A.S. De Castro, M. Hott, Int. J. Mod. Phys. E 16, 3002 (2007)
L.B. Castro, A.S. De Castro, M. Hott, EPL 77, 20009 (2007)
A.D. Alhaidari, Phys. Lett. B 699, 309 (2011)
A.D. Alhaidari, Int. J. Mod. Phys. A 25, 3703 (2010)
A.D. Alhaidari, Found. Phys. 40, 1088 (2010)
A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physic (Birkhausr, Berlin, 1988)
C. Tezcan, R. Sever, Int. J. Theor. Phys. 48, 337 (2009)
S.M. Ikhdair, Int. J. Mod. Phys. C 20, 25 (2009)
J. Meng, K. Sugawara-Tanabe, S. Yamaji, A. Arima, Phys. Rev. C 59, 154 (1999)
J. Meng, K. Sugawara-Tanabe, S. Yamaji, P. Ring, A. Arima, Phys. Rev. C 58, R628 (1998)
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Hamzavi, M., Rajabi, A.A. Mixed scalar-vector-pseudoscalar Hulthén potential in view of spin and pseudospin symmetries: 1 + 1 dimensions. Eur. Phys. J. Plus 128, 20 (2013). https://doi.org/10.1140/epjp/i2013-13020-6
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DOI: https://doi.org/10.1140/epjp/i2013-13020-6