Exact solutions of the Duffin-Kemmer-Petiau equation with a hyperbolical potential in (1+3) dimensions

Z. Molaee; A. Boumali

doi:10.1088/1674-1137/37/7/073104

Chinese Physics C> 2013, Vol. 37> Issue(7) : 073104 DOI: 10.1088/1674-1137/37/7/073104

Exact solutions of the Duffin-Kemmer-Petiau equation with a hyperbolical potential in (1+3) dimensions

Z. Molaee ,
A. Boumali

Abstract
HTML
Reference
Related

PDF

Abstract：
We study S-wave solutions of the Duffin-Kemmer-Petiau (DKP) equation in the presence of a hyperbolical potential in (1+3)-dimensional space-time for spin-one particles. The exact analytical Nikiforov-Uvarov (NU) method is used in the calculations to obtain the eigenfunctions and the corresponding eigenvalues. Some figures and numerical values are included to give a better insight to the solutions.

References

[1]

Nedjadi Y, Barrett R C. J. Phys. G: Nucl. Part. Phys., 1993, 19: 87[2] Kozack R E, Clark B C, Hama S, Mishra V K, Mercer R L, Ray L. Phys. Rev. C, 1989, 40: 2181[3] Gribov V. Eur. Phys. J. C, 1999, 10(1): 71-90[4] Kerr L K, Clark B C, Hama S, Ray L, Hoffmann G W. Prog. Theor. Phys., 2000, 103: 321[5] Boumali A. Can. J. Phys., 2007, 85: 1417[6] Bayrak O, Boztosun I. Journal of Molecular Structure: THEOCHEM, 2007, 802: 17[7] Yasuk F, Berkdemir C, Berkdemir A, Onem C. Phys. Scr., 2005, 71: 340[8] Zarrinkamar S, Rajabi A A, Rahimov H, Hassanabadi H. Mod. Phys. Lett. A, 2011, 26: 1621[9] Nedjadi Y, Barrett R C. J. Phys. A: Math. Gen., 1994, 27: 4301[10] Nedjadi Y, Barrett R C. J. Math. Phys., 1994, 35: 4517[11] Nedjadi Y, Barrett R C. J. Phys. G, 1993, 19: 87[12] Boutabia- Cheraitia B, Boudjedaa T. Phys. Lett. A, 2005, 338: 97[13] Fainberg V Ya, Pimentel B M. Phys. Lett. A, 2000, 271: 16[14] Lunardi J T, Pimentel B M, Teixeira R G, Valverde J S. Phys. Lett. A, 2000, 268: 165[15] Chetouani L, Merad M, Boudjedaa T, Lecheheb A. Int. J. Theor. Phys., 2004, 43(4): 1147[16] Boumali A. Can. J. Phys., 2004, 82: 67[17] Kulikov D A, Tutik R S, Yaroshenko A P. Mod. Phys. Lett. A, 2005, 20: 43[18] Hassanabadi H, Yazarloo B H, Zarrinkamar S, Rajabi A A. Phys. Rev. C, 2011, 84: 064003[19] Hassanabadi H, Molaee Z, Zarrinkamar S. Eur. Phys. J. C, 2012, 72: 11[20] Hassanabadi H, Molaee Z, Boumali A. Found. Phys., DOI: 10.1007/s10701-012-9690-4 (2012)[21] Castro L B, Cardoso T R, de Castro A. S. Nucl. Phys. B, 2010, 199: 207-210[22] Cardoso T R, Castro L B, de Castro A S. Phys. Lett. A, 2008, 372: 5964-5967[23] de Castro A S. J. Phys. A, 2011, 44: 035201[24] Nikiforov A F, Uvarov V B. Special Function of Mathematical Physics. Birkhausr, Berlin, 1988[25] Tezcan C, Sever R. Int. J. Theor. Phys., 2009, 48: 337[26] Grandshteyn I S, Ryzhik I M. Tables of Integrals, Series and Products, AP, New York. 1980[27] Abramowitz M, Stegun I A. Handbook of Mathematical Function with Formulas, Graphs and Mathematical Tables, 10m th Printing. Dover, New York. 1972

[1]	Sheng-Xian Zhao , Shuang-Nan Zhang . Exact solutions for spherical gravitational collapse around a black hole: the effect of tangential pressure. Chinese Physics C, 2018, 42(8): 085101. doi: 10.1088/1674-1137/42/8/085101
[2]	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
[3]	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
[4]	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
[5]	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
[6]	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
[7]	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
[8]	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
[9]	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
[10]	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
[11]	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
[12]	LIU Xiang . Derivation of a 1/r² potential term for QQ in a potential model. Chinese Physics C, 2010, 34(9): 1482-1484. doi: 10.1088/1674-1137/34/9/078
[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]	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
[15]	JIANG Jun-Qin . Mass Gap and Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(2): 115-118.
[16]	ZHANG Xin , PAN Feng . Exact Solutions of sl-Boson System in U(2l+1) O(2l+2) Transitional Region. Chinese Physics C, 2002, 26(12): 1228-1237.
[17]	Yu Yangzheng . N=1 Supergravity Theory and Super Higgs Effect in Three Dimensions. Chinese Physics C, 1994, 18(3): 213-221.
[18]	Yu Yangzheng . N=1 Supergravity Theory and Super-Higgs Effect in Three Dimensions. Chinese Physics C, 1994, 18(Z1): 31-40.
[19]	Chen Baoqiu , Ma Zhongyu . A Study of the Relativistic Microscopic Optical Potential Based on the Relativistic Brueckner-Bethe-Goldstone Equation. Chinese Physics C, 1992, 16(S1): 73-81.
[20]	Zheng Bo , Guo Shuohong . Exact Solution for a 1 + 1 Dimensional Lattice U (1) Gauge Model. Chinese Physics C, 1990, 14(S2): 163-167.

Access

Get Citation

Z. Molaee and A. Boumali. Exact solutions of the Duffin-Kemmer-Petiau equation with a hyperbolical potential in (1+3) dimensions[J]. Chinese Physics C, 2013, 37(7): 073104. doi: 10.1088/1674-1137/37/7/073104

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2012-05-02
Revised: 2013-03-18

Article Metric

Article Views(2001)
PDF Downloads(333)
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

Exact solutions of the Duffin-Kemmer-Petiau equation with a hyperbolical potential in (1+3) dimensions

Received Date: 2012-05-02

Accepted Date: 2013-03-18

Available Online: 2013-07-05

Abstract: We study S-wave solutions of the Duffin-Kemmer-Petiau (DKP) equation in the presence of a hyperbolical potential in (1+3)-dimensional space-time for spin-one particles. The exact analytical Nikiforov-Uvarov (NU) method is used in the calculations to obtain the eigenfunctions and the corresponding eigenvalues. Some figures and numerical values are included to give a better insight to the solutions.

HTML

Reference (1)

Exact solutions of the Duffin-Kemmer-Petiau equation with a hyperbolical potential in (1+3) dimensions

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Exact solutions of the Duffin-Kemmer-Petiau equation with a hyperbolical potential in (1+3) dimensions

HTML

目录