Relativistic symmetries in the Hulthén scalar–vector–tensor interactions

doi:10.1088/1674-1056/22/8/080302

中国物理B ›› 2013, Vol. 22 ›› Issue (8): 80302-080302.doi: 10.1088/1674-1056/22/8/080302

Relativistic symmetries in the Hulthén scalar–vector–tensor interactions

Majid Hamzavi^a, Ali Akbar Rajabi^b

a Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran;
b Physics Department, Shahrood University of Technology, Shahrood, Iran

收稿日期:2012-12-09 修回日期:2013-01-28 出版日期:2013-06-27 发布日期:2013-06-27

Relativistic symmetries in the Hulthén scalar–vector–tensor interactions

Majid Hamzavi^a, Ali Akbar Rajabi^b

a Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran;
b Physics Department, Shahrood University of Technology, Shahrood, Iran

Received:2012-12-09 Revised:2013-01-28 Online:2013-06-27 Published:2013-06-27
Contact: Majid Hamzavi E-mail:majid.hamzavi@gmail.com

摘要/Abstract

摘要： 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.

关键词: Dirac equation, Hulthé, n scalar-vector-tensor potential, spin and p-spin symmetry, NU method

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.

Key words: Dirac equation, Hulthén scalar-vector-tensor potential, spin and p-spin symmetry, NU method

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

03.65.Fd (Algebraic methods) 03.65.Pm (Relativistic wave equations) 02.30.Gp (Special functions)

Majid Hamzavi, Ali Akbar Rajabi. Relativistic symmetries in the Hulthén scalar–vector–tensor interactions[J]. 中国物理B, 2013, 22(8): 80302-080302.

Majid Hamzavi, Ali Akbar Rajabi. Relativistic symmetries in the Hulthén scalar–vector–tensor interactions[J]. Chin. Phys. B, 2013, 22(8): 80302-080302.

参考文献 48

[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

Relativistic symmetries in the Hulthén scalar–vector–tensor interactions

Relativistic symmetries in the Hulthén scalar–vector–tensor interactions

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