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Chin. Phys. B, 2013, Vol. 22(8): 080302    DOI: 10.1088/1674-1056/22/8/080302
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Relativistic symmetries in the Hulthén scalar–vector–tensor interactions

Majid Hamzavia, Ali Akbar Rajabib
a Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran;
b Physics Department, Shahrood University of Technology, Shahrood, Iran
Abstract  In the presence of spin and pseudospin (p-spin) symmetries, the approximate analytical bound states of the Dirac equation for scalar-vector-tensor Hulthén potentials are obtained with any arbitrary spin-orbit coupling number κ using the Pekeris approximation. The Hulthén tensor interaction is studied instead of the commonly used Coulomb or linear terms. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms. It is shown that tensor interaction removes degeneracy between spin and p-spin doublets. Some numerical results are also given.
Keywords:  Dirac equation      Hulthén scalar-vector-tensor potential      spin and p-spin symmetry      NU method  
Received:  09 December 2012      Revised:  28 January 2013      Published:  27 June 2013
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  03.65.Fd (Algebraic methods)  
  03.65.Pm (Relativistic wave equations)  
  02.30.Gp (Special functions)  
Corresponding Authors:  Majid Hamzavi     E-mail:  majid.hamzavi@gmail.com

Cite this article: 

Majid Hamzavi, Ali Akbar Rajabi Relativistic symmetries in the Hulthén scalar–vector–tensor interactions 2013 Chin. Phys. B 22 080302

[1] Haxel O, Jensen J H D and Suess H E 1949 Phys. Rev. 75 1766
[2] Goepper M 1949 Phys. Rev. 75 1969
[3] Zhang W, Meng J, Zhang S Q, Geng L S and Toki H 2005 Nucl. Phys. A 753 106
[4] Meng J, Toki H, Zhou S G, Zheng S Q, Long W H and Geng L S 2006 Prog. Part. Nucl. Phys. 57 470
[5] Ginocchio J N 2005 Phys. Rep. 414 165
[6] Bohr A, Hamamoto I and Mottelson B R 1982 Phys. Scr. 26 267
[7] Dudek J, Nazarewicz W, Szymanski Z and Leander G A 1987 Phys. Rev. Lett. 59 1405
[8] Troltenier D, Bahri C and Draayer J P 1995 Nucl. Phys. A 586 53
[9] Page P R, Goldman T and Ginocchio J N 2001 Phys. Rev. Lett. 86 204
[10] Ginocchio J N, Leviatan A, Meng J and Zhou S G 2004 Phys. Rev. C 69 034303
[11] Ginocchio J N 1997 Phys. Rev. Lett. 78 436
[12] Hecht K T and Adler A 1969 Nucl. Phys. A 137 129
[13] Arima A, Harvey M and Shimizu K 1969 Phys. Lett. B 30 517
[14] Ikhdair S M and Sever R 2010 Appl. Math. Comput. 216 911
[15] Berkdemir C 2006 Nucl. Phys. A 770 32
[16] Wei G F and Dong S H 2009 Europhys. Lett. 87 40004
[17] Wei G F and Dong S H 2010 Phys. Lett. B 686 288
[18] Wei G F and Dong S H 2010 Eur. Phys. J. A 46 207
[19] Liang H, Shen S, Zhao P and Meng J 2012 arXiv: 1207.6211
[20] Moshinsky M and Szczepanika A 1989 J. Phys. A: Math. Gen. 22 L817
[21] Kukulin V I, Loyla G and Moshinsky M 1991 Phys. Lett. A 158 19
[22] Lisboa R, Malheiro M, de Castro A S, Alberto P and Fiolhais M 2004 Phys. Rev. C 69 024319
[23] Alberto P, Lisboa R, Malheiro M and de Castro A S 2005 Phys. Rev. C 71 034313
[24] Akcay H 2009 Phys. Lett. A 373 616
[25] Akcay H 2007 J. Phys. A: Math. Theor. 40 6427
[26] Aydoğdu O and Sever R 2010 Few-Body Syst. 47 193
[27] Aydoğdu O and Sever R 2010 Eur. Phys. J. A 43 73
[28] Hamzavi M, Rajabi A A and Hassanabadi H 2010 Phys. Lett. A 374 4303
[29] Hamzavi M, Rajabi A A and Hassanabadi H 2011 Int. J. Mod. Phys. A 26 1363
[30] Myhrman U 1983 J. Phys. A: Math. Gen. 16 263
[31] Roy B and Roychoudhury R 1990 J. Phys. A: Math. Gen. 23 5095
[32] Filho E D and Ricotta R M 1995 Mod. Phys. Lett. A 10 1613
[33] Qian S W, Huang B W and Gu Z Y 2002 New J. Phys. 4 13
[34] Ciftci H, Hall R L and Saad N 2003 J. Phys. A: Math. Gen. 36 11807
[35] Soylu A, Bayrak O and Boztosun I 2007 J. Math. Phys. 48 082302
[36] Ikhdair S M, Berkdemir C and Sever R 2011 Appl. Math. Comput. 217 9019
[37] Biedenharn L C 1962 Phys. Rev. 126 845
[38] Haouat S and Chetouani L 2008 Phys. Scr. 77 025005
[39] Ginocchio J N 1999 Nucl. Phys. A 654 663
[40] Ginocchio J N 1999 Phys. Rep. 315 231
[41] Meng J, Sugawara-Tanabe K, Yamaji S, Ring P and Arima A 1998 Phys. Rev. C 58 R628
[42] Meng J, Sugawara-Tanabe K, Yamaji S and Arima A 1999 Phys. Rev. C 59 154
[43] Zhou S G, Meng J and Ring P 2003 Phys. Rev. Lett. 91 262501
[44] He X T, Zhou S G, Meng J, Zhao E G and Scheid W 2006 Eur. Phys. J. A 28 265
[45] Song C Y, Yao J M and Meng J 2009 Chin. Phys. Lett. 26 122102
[46] Song C Y and Yao J M 2010 Chin. Phys. C 34 1425
[47] Nikiforov A F and Uvarov V B 1988 Special Functions of Mathematical Physics (Berlin: Birkhausr)
[48] Ikhdair S M 2009 Int. J. Mod. Phys. C 20 1563
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