Spin symmetric solutions of Dirac equation with Pöschl–Teller potential

doi:10.1088/1674-1056/20/7/070302

摘要/Abstract

摘要： The approximate analytical solutions of the Dirac equation with the Pöschl—Teller potential is presented for arbitrary spin-orbit quantum number kappa within the framework of the spin symmetry concept. The energy eigenvalues and the corresponding two Dirac spinors are obtained approximately in closed forms. The limiting cases of the energy eigenvalues and the two Dirac spinors are briefly discussed.

关键词: Dirac equation, P?, schl—Teller potential, spin symmetry

Abstract: The approximate analytical solutions of the Dirac equation with the P?schl—Teller potential is presented for arbitrary spin-orbit quantum number $\kappa$ within the framework of the spin symmetry concept. The energy eigenvalues and the corresponding two Dirac spinors are obtained approximately in closed forms. The limiting cases of the energy eigenvalues and the two Dirac spinors are briefly discussed.

Key words: Dirac equation, P?schl—Teller potential, spin symmetry

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

03.65.Ge

03.65.Pm (Relativistic wave equations) 34.20.Cf (Interatomic potentials and forces)

Ferhat Tacskhin, Gökhan Koccak. Spin symmetric solutions of Dirac equation with Pöschl–Teller potential[J]. 中国物理B, 2011, 20(7): 70302-070302.

Ferhat Tacskhin and Gökhan Koccak . Spin symmetric solutions of Dirac equation with Pöschl–Teller potential[J]. Chin. Phys. B, 2011, 20(7): 70302-070302.

参考文献 32

[1]	Ginocchio J N 2004 Phys. Rev. C 69 034318
[2]	Ginocchio 1997 Phys. Rev. Lett. 78 436
[3]	Ginocchio J N 2005 Phys. Rep. 414 165
[4]	Page P R, Goldman T and Ginocchio J N 2001 Phys. Rev. Lett. 86 204
[5]	Bohr A, Hamamoto I and Mottelson B R 1982 Phys. Scr. 26 267
[6]	Blokhin A L, Bahri C and Draayer J P 1995 Phys. Rev. Lett. 74 4149
[7]	Meng J, Sugawara-Tanabe K, Yamaji S, Ring P and Arima A 1998 Phys. Rev. C 58 R628
[8]	Meng J, Sugawara-Tanabe K, Yamaji S and Arima A 1999 Phys. Rev. C 59 154
[9]	Ginocchio J N and Madland D G 1998 Phys. Rev. C bf57 1167
[10]	Dudek J, Nazarewicz W, Szymanski Z and Leander G A 1987 Phys. Rev. Lett. 59 1405
[11]	Troltenier D, Bahri C and Draayer J P 1995 Nucl. Phys. A 586 53
[12]	Lisboa R, Malheiro M, de Castro A S, Alberto P and Fiolhais M 2004 Phys. Rev. C bf69 024319
[13]	Ginocchio J N 2005 Phys. Rev. Lett. 95 252501
[14]	Gou J Y, Fang X Z and Xu F X 2005 Nucl. Phys. A bf757 411
[15]	de Castro A S, Alberto P, Lisboa R and Malheiro M 2006 Phys. Rev. C bf73 054309
[16]	Qiang W C, Zhou R S and Gao Y 2007 J. Phys. A: Math. Theor. bf40 1677
[17]	Bayrak O and Boztosun I 2007 J. Phys. A: Math. Theor. bf40 11119
[18]	Soylu A, Bayrak O and Boztosun I 2007 J. Math. Phys. bf48 082302
[19]	Soylu A, Bayrak O and Boztosun I 2008 J. Phys. A: Math. Theor. bf41 065308
[20]	Jia C S, Guo P and Peng X L 2006 J. Phys. A: Math. Gen. bf39 7737
[21]	Zhang L H, Li X P and Jia C S 2008 Phys. Lett. A bf372 2201
[22]	Tacskhin F 2009 Int. J. Theo. Phys. 48 1142
[23]	Xu Y, He S and Jia C S 2008 J. Phys. A: Math. Theor. bf41 255302
[24]	Wei G F and Dong S H 2009 Eur. Phys. J. 87 40004
[25]	Wei G F and Dong S H 2009 Phys. Lett. A 373 2428
[26]	Jia C S, Chen T and Cui L G 2009 Phys. Lett. A 373 1621
[27]	Dong S H, Qiang W C and Garc'a-Ravelo J 2008 Int. J. Mod. Phys. A 23 1537
[28]	Qiang W C, Chen W L, Li K and Wei G F 2009 Phys. Scr. bf79 025005
[29]	Grosche C 2005 J. Phys. A: Math. Theor. 38 2947
[30]	Koccak G and Tacskhin F 2010 Ann. Phys. 522 802
[31]	Bagrov V G and Gitman D M 1990 Exact Solution of the Relativistic Wave Equations (Dordrecht: Kuluwer)
[32]	Qiang W C, Wu J Y and Dong S H 2009 Phys. Scr. 79 065011