Two-body Spinless Salpeter equation for the Woods-Saxon potential

M. Ghominejad; B. H. Yazarloo; S. Zarrinkamar; H. Hassanabadi

doi:10.1088/1674-1137/37/8/083102

Chinese Physics C> 2013, Vol. 37> Issue(8) : 083102 DOI: 10.1088/1674-1137/37/8/083102

Two-body Spinless Salpeter equation for the Woods-Saxon potential

Abstract
HTML
Reference
Related

PDF

Abstract：
The two-body Spinless Salpeter equation for the Woods-Saxon potential is solved by using the supersymmetry quantum mechanics (SUSYQM). In our calculations, we have applied an approximation to the centrifugal barrier. Energy eigenvalues and the corresponding eigenfunctions are computed for various values of quantum numbers n, l.

References

[1]

Salpeter E E, Bethe H A. Phys. Rev., 1951, 84: 1232[2] Wick G C. Phys. Rev., 1954, 96: 1124[3] Maris P, Roberts C D. Int. J. Mod. Phys. E, 2003, 12: 297[4] Chang L, Roberts C D. Phys. Rev. Lett., 2009, 103: 081601[5] Maris P, Roberts C D. Phys. Rev. C, 1997, 56: 3369[6] Nakanishi N. Prog. Theor. Phys. Suppl., 1969, 43: 1[7] Lucha W, Schoberl F F. Int. J. Mod. Phys. A, 1999, 14: 2309[8] Lucha W, Schoberl F F. Fiz. B, 1999, 8: 193[9] Lucha W, Schoberl F F. Int. J. Mod. Phys. A, 2002, 17: 2233[10] Lucha W, Schoberl F F. Phys. Rev. A, 1996, 54: 3790[11] Lucha W, Schoberl F F. Int. J. Mod. Phys. A, 2000, 15: 3221[12] Lucha W, Schoberl F F. Phys. Rev. D, 1994, 50: 5443[13] Hassanabadi S et al. Mod. Phys. Lett. A, 2012, 27: 1250057[14] Erkol H, Demiralp E. Phys. Lett. A, 2007, 365: 55[15] Woods R D, Saxon D S. Phys. Rev., 1954, 95: 577[16] Williams W S C. Nuclear and Particle Physics. Oxford: Claren-don, 1996[17] Walz M et al. J. Phys. G: Nucl. Phys., 1988, 14: L91[18] Garcia F et al. Eur. Phys. J. A, 1999, 6: 49[19] Bespalova V et al. J. Phys. G: Nucl. Part. Phys., 2003, 29: 1193[20] Dasgupta M et al. Prog. Theor. Phys. Suppl., 2004, 154: 209[21] Sadeghi J, Pahlavani M R. Afr. J. Math. Phys., 2004, 1: 195[22] Khounfais K et al. Chech. J. Phys., 2004, 54: 697[23] Newton J O et al. Phys. Rev. C, 2004, 70: 024605[24] GUO J Y, SHENG Q. Phys. Lett. A, 2005, 338: 90[25] Diaz-Torres A, Scheid W. Nucl. Phys. A, 2005, 757: 373[26] Badalov V H et al. arXiv:0905.2731v1 [math-ph][27] Cooper F et al. Phys. Rep., 1995, 251: 267[28] Junker G. Supersymmetric Methods in Quantum and Statistical Physics. New York: Springer-Verlag, 1996[29] Bagchi B. Supersymmetry in quantum and classical mechanics, Chapman and Hall/CRC 2000[30] Zarrinkamar S et al. Phys. Scr., 2011, 84: 065008[31] Zarrinkamar S et al. Few-Body Sys., 2011, 52: 165[32] Berkdemir C. Nuclear Physics A, 2006, 770: 32[33] LU L L et al. Few-Body Syst., 2012, 53: 573[34] Zarrinkamar S et al. Mod. Phys. Lett. A, 2011, 26: 1621

[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]	M. Imran Jamil , Bilal Masud , Faisal Akram , S. M. Sohail Gilani . D⁰D^0* (D⁰D^0*) system in QCD-improved many body potential. Chinese Physics C, 2017, 41(1): 013103. doi: 10.1088/1674-1137/41/1/013103
[4]	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
[5]	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
[6]	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
[7]	M. K. Tavassoly . Solution of the Schrödinger equation for a particular form of Morse potential using the Laplace transform. Chinese Physics C, 2013, 37(4): 043106. doi: 10.1088/1674-1137/37/4/043106
[8]	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
[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]	E. Maghsoodi , S. Zarrinkamar . Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method. Chinese Physics C, 2013, 37(11): 113104. doi: 10.1088/1674-1137/37/11/113104
[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]	YAN Hua-Hua , MA Qing-Shan , ZHANG Jun . Mott-Hubbard transition of bosons in optical lattices with two-body interactions. Chinese Physics C, 2011, 35(6): 530-534. doi: 10.1088/1674-1137/35/6/003
[13]	JIANG Yu , LI Ning , SUN Wei-Min , ZONG Hong-Shi . Calculation of equation of state of QCD at zero temperature and finite chemical potential. Chinese Physics C, 2010, 34(9): 1324-1327. doi: 10.1088/1674-1137/34/9/033
[14]	MO Xiao-Hu . Kinematics of τ two-body decay near τ threshold at BESⅢ. Chinese Physics C, 2010, 34(11): 1671-1679. doi: 10.1088/1674-1137/34/11/001
[15]	ZHAO Yu-Min . Collectivity under random two-body interactions. Chinese Physics C, 2008, 32(S2): 106-108.
[16]	XU Qiang , WANG Ruo-Dong , ZHU Sheng-Jiang . Pseudospin symmetry in the relativistic Woods-Saxon. Chinese Physics C, 2006, 30(3): 207-211.
[17]	Shen Qixing , Yu Hong , Zhang Lin . Study of the Boson Resonance Produced in the Three-Step Two-Body Decay Process of/ψ. Chinese Physics C, 1995, 19(S1): 39-50.
[18]	Qixing Shen , Hong Yu . Spin and Parity Analysis for the Three-Step Two-Body Hadronic Decay Processes of J/ψ. Chinese Physics C, 1992, 16(S1): 41-50.
[19]	Luo Zhenfei , Qiu Xijun . Relativistic Two-Body Wave Equation and Short-range Interaction of Quarkonium. Chinese Physics C, 1991, 15(S4): 427-429.
[20]	Ruan Tu-nan , Zhu Xi-quan , He Zho-xiu . DERIVATION OF A QUASIPOTENTIAL EQUATION FROM AN EQUATION OF THE BE THE-SALPETER TYPE. Chinese Physics C, 1980, 4(2): 186-190.

Access

Get Citation

M. Ghominejad, B. H. Yazarloo, S. Zarrinkamar and H. Hassanabadi. Two-body Spinless Salpeter equation for the Woods-Saxon potential[J]. Chinese Physics C, 2013, 37(8): 083102. doi: 10.1088/1674-1137/37/8/083102

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2012-08-06
Revised: 2012-10-08

Article Metric

Article Views(2187)
PDF Downloads(361)
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

Two-body Spinless Salpeter equation for the Woods-Saxon potential

Received Date: 2012-08-06

Accepted Date: 2012-10-08

Available Online: 2013-08-05

Abstract: The two-body Spinless Salpeter equation for the Woods-Saxon potential is solved by using the supersymmetry quantum mechanics (SUSYQM). In our calculations, we have applied an approximation to the centrifugal barrier. Energy eigenvalues and the corresponding eigenfunctions are computed for various values of quantum numbers n, l.

HTML

Reference (1)

Two-body Spinless Salpeter equation for the Woods-Saxon potential

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Two-body Spinless Salpeter equation for the Woods-Saxon potential

HTML

目录