Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method

E. Maghsoodi; S. Zarrinkamar

doi:10.1088/1674-1137/37/11/113104

Chinese Physics C> 2013, Vol. 37> Issue(11) : 113104 DOI: 10.1088/1674-1137/37/11/113104

Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method

Abstract
HTML
Reference
Related

PDF

Abstract：
An approximate analytical solution of the Dirac equation is obtained for the ring-shaped Woods-Saxon potential within the framework of an exponential approximation to the centrifugal term. The radial and angular parts of the equation are solved by the Nikiforov-Uvarov method. The general results obtained in this work can be reduced to the standard forms already present in the literature.

References

[1]

MAO G. Phys. Rev. C 2003,67: 044318[2] Alberto P,Lisboa R,Malheiro M et al. Phys. Rev. C,2005,71: 034313[3] Furnstahl R F,Rusnak J J,Serot B D. Nucl. Phys. A,1998,632: 607[4] WEI G F,DONG S H. Phys. Lett. A 2008,373: 49[5] WEI G F,DONG S H. EPL,2009,87: 40004[6] WEI G F,DONG S H. Phys. Scr.,2010,81: 035009[7] Zarrinkamar S,Rajabi A A,Hassanabadi H. Ann. Phys. (New York),2010,325: 2522[8] Hassanabadi H,Maghsoodi E,Zarrinkamar S et al. Mod. Phys. Lett. A,2011,26(36): 2703-2718[9] WEI G F,DONG S H. Eur. J. Phys. A,2010,46: 207[10] WEI G F,DONG S H. Phys. Lett. B,2010,686: 288[11] DONG S H. Phys. Scr. 2001,64: 273[12] CHEN T,LIU J,JIA C. Phys. Scr. 2009,79: 055002[13] DONG S H,CHEN C Y,Lozada-Cassou M. Int. J. Quant. Chem.,2005,105: 453[14] Agboola D. Chin. Phys. Lett.,2010,27 (4): 040301[15] Aydoğdu O,Sever R. Few Body Sys.,2010,47: 193[16] CHEN T S,Lü H F,MENG J et al. Chin. Phys. Lett.,2003,20: 358[17] QIANG W C,DONG S H. Phys. Scr.,2009,79: 045004.[18] GUO J Y,ZHOU F,GUO F L et al. Int. J. Mod. Phys. A,2007,22: 4825[19] QIANG W C,ZHOU R S,GAO Y. J. Phys. A: Math. Theor.,2007,40: 1677[20] Setare M R,Nazari Z. Acta Physica Polonica B,2010,41(11): 2459[21] WEI G F,DONG S H,Bezerra V B. Int. J. Mod. Phys. A,2009,24: 161[22] Yasuk F,Durmus A. Phys. Scr.,2008,77: 015005[23] Victoria Carpio-Bernido M,Bernido C C. Phys. Lett. A,1989,137: 1-3[24] DONG S H,SUN G H,Lozada-Cassou M. Phys. Lett. A,2004,328: 299[25] CHEN C Y,DONG S H. Phys. Lett. A,2005,335: 374[26] ZHANG M C,SUN G H,DONG S H. Phys. Lett. A,2010,374: 704[27] Arda A,Sever R. J. Math. Chem.,2012,50: 1484[28] DONG S H. Wave Equations in Higher Dimensions. Netherlands: Springer,2011[29] DONG S H. Lozada-Cassou M. Phys. Scr.,2006,74: 285[30] SUN G H,DONG S H. Mod. Phys. Lett. A,2010,25: 2849[31] Bakkeshizadeh S,Vahidi V. Adv. Stud. Theor. Phys.,2012,6: 733-742[32] Nikiforov A F,Uvarov V B. Special Functions of Mathematical Physics. Bassel: Birkhauser,1988[33] Miranda M G,SUN G H,DONG S H. Int. J. Mod. Phys. E,2010,19: 123[34] Tezcan C,Sever R. Int. J. Theor. Phys.,2009,48: 337[35] Schiff L I. Quantum Mechanics. New York: McGraw-Hill,1968[36] Berkdemir C. Nucl. Phys. A,2006,770: 32[37] Aydoğdu O,Sever R. Eur. Phys. J. A,2010,43: 73[38] GUO J Y,FANG X Z,XU F X. Phys. Rev. A,2002,66: 062105

[1]	Lin Gan , Zhi-Hong Li , Hui-Bin Sun , Shi-Peng Hu , Er-Tao Li , Jian Zhong . Systematic study of the Woods-Saxon potential parametersbetween heavy-ions. Chinese Physics C, 2021, 45(5): 054105. doi: 10.1088/1674-1137/abe84f
[2]	Dong Bai , Zhongzhou Ren . Woods-Saxon-Gaussian potential and alpha-cluster structures ofalpha + closed shell nuclei. Chinese Physics C, 2018, 42(12): 124102. doi: 10.1088/1674-1137/42/12/124102
[3]	Akpan N , Eno J . Pseudospin symmetry of the Dirac equation for a Möbius squareplus Mie type potential with a Coulomb-like tensor interaction via SUSYQM. Chinese Physics C, 2014, 38(1): 013101. doi: 10.1088/1674-1137/38/1/013101
[4]	E. Momtazi , B. H. Yazarloo , H. Hassanabadi . Solutions of the two-body Salpeter equation under the Coulomb and exponential potential for any l state with Laplace approach. Chinese Physics C, 2014, 38(2): 023101. doi: 10.1088/1674-1137/38/2/023101
[5]	M. Kamali , Z. Molaee , S. Zarrinkamar . Duffin-Kemmer-Petiau equation under Hartmann ring-shaped potential. Chinese Physics C, 2014, 38(3): 033102. doi: 10.1088/1674-1137/38/3/033102
[6]	LIANG Mai-Lin , ZHANG Ya-Bin , YANG Rui-Lin , ZHANG Fu-Lin . Dirac equation with a magnetic field in 3D non-commutative phase space. Chinese Physics C, 2013, 37(6): 063106. doi: 10.1088/1674-1137/37/6/063106
[7]	A. A. Rajabi . Bound Dirac states for pseudoscalar Cornell potential：3+1 dimensions. Chinese Physics C, 2013, 37(10): 103102. doi: 10.1088/1674-1137/37/10/103102
[8]	Z. Molaee , A. Boumali . Exact solutions of the Duffin-Kemmer-Petiau equation with a hyperbolical potential in (1+3) dimensions. Chinese Physics C, 2013, 37(7): 073104. doi: 10.1088/1674-1137/37/7/073104
[9]	H. Hassanabadi , B. H. Yazarloo . Exact solutions of the Spinless-Salpeter equation under Kink-Like potential. Chinese Physics C, 2013, 37(12): 123101. doi: 10.1088/1674-1137/37/12/123101
[10]	S. Zarrinkamar , A. A. Rajabi , B. H. Yazarloo , H. Hassanabadi . An approximate solution of the DKP equation under the Hulthén vector potential. Chinese Physics C, 2013, 37(2): 023101. doi: 10.1088/1674-1137/37/2/023101
[11]	S. M. Ikhdair , A. A. Rajabi . A semi-relativistic treatment of spinless particles subjectto the nuclear Woods-Saxon potential. Chinese Physics C, 2013, 37(6): 063101. doi: 10.1088/1674-1137/37/6/063101
[12]	M. Ghominejad , B. H. Yazarloo , S. Zarrinkamar , H. Hassanabadi . Two-body Spinless Salpeter equation for the Woods-Saxon potential. Chinese Physics C, 2013, 37(8): 083102. doi: 10.1088/1674-1137/37/8/083102
[13]	H. Hassanabadi , H. Rahimov , S. Zarrinkamar . Arbitrary-state solutions of the Dirac equation for a Möbius square potential using the Nikiforov-Uvarov method. Chinese Physics C, 2013, 37(4): 043105. doi: 10.1088/1674-1137/37/4/043105
[14]	ZHANG Ying , LIANG Hao-Zhao , MENG Jie . First attempt to overcome the disaster of Dirac sea in imaginary time step method. Chinese Physics C, 2009, 33(S1): 113-115. doi: 10.1088/1674-1137/33/S1/036
[15]	ZHANG Wei-Ning , . Stable solutions for qq bound states with a regularized Breit potential. Chinese Physics C, 2009, 33(8): 648-654. doi: 10.1088/1674-1137/33/8/010
[16]	ZHANG Ai-Ping , QIANG Wen-Chao . Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential. Chinese Physics C, 2007, 31(11): 1027-1031.
[17]	XU Qiang , WANG Ruo-Dong , ZHU Sheng-Jiang . Pseudospin symmetry in the relativistic Woods-Saxon. Chinese Physics C, 2006, 30(3): 207-211.
[18]	HUANG Bo-Wen . Supersymmetry of a Double Ring-Shaped Oscillator. Chinese Physics C, 2003, 27(9): 770-774.
[19]	Zhong Yunxiao , Hu Jimin . Fission Probability Calculation by Solving Fokker-PIank Equation with Variation Method. Chinese Physics C, 1994, 18(Z1): 79-86.
[20]	LI Yuan-Jie . RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC. Chinese Physics C, 1989, 13(8): 701-705.

Access

Get Citation

E. Maghsoodi and S. Zarrinkamar. Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method[J]. Chinese Physics C, 2013, 37(11): 113104. doi: 10.1088/1674-1137/37/11/113104

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2013-01-17
Revised: 2013-05-08

Article Metric

Article Views(1900)
PDF Downloads(219)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method

Received Date: 2013-01-17

Accepted Date: 2013-05-08

Available Online: 2013-11-05

Abstract: An approximate analytical solution of the Dirac equation is obtained for the ring-shaped Woods-Saxon potential within the framework of an exponential approximation to the centrifugal term. The radial and angular parts of the equation are solved by the Nikiforov-Uvarov method. The general results obtained in this work can be reduced to the standard forms already present in the literature.

HTML

Reference (1)

Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method

HTML

目录