Solutions of the two-body Salpeter equation under the Coulomb and exponential potential for any <I>l</I> state with Laplace approach

E. Momtazi; B. H. Yazarloo; H. Hassanabadi

doi:10.1088/1674-1137/38/2/023101

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2014, Vol. 38> Issue(2) : 023101 DOI: 10.1088/1674-1137/38/2/023101

Solutions of the two-body Salpeter equation under the Coulomb and exponential potential for any l state with Laplace approach

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper we have solved the two-body spinless-Salpeter (SS) equation under the Coulomb and exponential type potentials. We have applied an approximation for the centrifugal term in our calculations. The energy eigenvalues and the corresponding eigenfunctions are reported by using the Laplace transform approach for any n, l states.

References

[1]

WEI G F, DONG S H. Eur. Phys. J. A, 2010, 43: 185-190[2] Yazarloo B H et al. Eur. Phys. J. Plus., 2012, 127: 51[3] GU X Y, DONG S H. J. Math. Chem., 2011, 49: 2053-2062[4] DONG S H, SUN G H. Phys. Lett. A, 2003, 314: 261-266[5] DONG S H. Int. J. Theor. Phys., 2001, 40: 559[6] DONG S H. Int. J. Theor. Phys., 2000, 39: 1119[7] Zarrinkamar S et al. Phys. Scr., 2011, 84: 065008[8] Arda A, Sever R. J. Math. Chem., 2012, 50: 1484[9] Arda A, Sever R. Mod. Phys. Lett. A, 2012, 27: 1250171[10] Zarrinkamar S et al. Few-Body Syst., DOI 10.1007/s00601-011-0272-3[11] Spiegel M R. Schaum's Outline of Theory and Problems of Laplace Trans-forms. NY: Schaum Publishing Co., 1965[12] Abramowitz M, Stegun I A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover Publications, 1965

[1]	A-Meng Zhao , Yuan-Mei Shi , Jian-Feng Li , Hong-Shi Zong . QCD equation of state for heavy ion collisions. Chinese Physics C, 2017, 41(10): 103101. doi: 10.1088/1674-1137/41/10/103101
[2]	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
[3]	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
[4]	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
[5]	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
[6]	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
[7]	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
[8]	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
[9]	NA Xue-Sen , XU Ren-Xin . A new parametric equation of state and quark stars. Chinese Physics C, 2011, 35(7): 616-621. doi: 10.1088/1674-1137/35/7/004
[10]	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
[11]	P. C. Vinodkumar . Decay properties of D and D_s mesons in coulomb plus power potential (CPP_ν). Chinese Physics C, 2010, 34(9): 1497-1499. doi: 10.1088/1674-1137/34/9/083
[12]	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
[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]	ZHAO Yu-Min . Collectivity under random two-body interactions. Chinese Physics C, 2008, 32(S2): 106-108.
[16]	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.
[17]	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.
[18]	Luo Zhenfei , Qiu Xijun . Relativistic Two-Body Wave Equation and Short-range Interaction of Quarkonium. Chinese Physics C, 1991, 15(S4): 427-429.
[19]	Wang Shan , Liu Yiming , Jiang Yuzhen , Chen Xiaofan , D. Keane , S. Y. Fung , S. Y. Chu . Azimuthal Correlation Function and the Nuclear Equation of State. Chinese Physics C, 1990, 14(S4): 361-366.
[20]	Li Bing-an , Xian Ding-chang , Yan Su , Chen Tian-lun , Yang Qing-zhu , Lu Jing-fa . THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION. Chinese Physics C, 1980, 4(1): 33-42.

Access

Get Citation

E. Momtazi, B. H. Yazarloo and H. Hassanabadi. Solutions of the two-body Salpeter equation under the Coulomb and exponential potential for any l state with Laplace approach[J]. Chinese Physics C, 2014, 38(2): 023101. doi: 10.1088/1674-1137/38/2/023101

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2013-03-13
Revised: 2013-04-15

Article Metric

Article Views(1796)
PDF Downloads(241)
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

Solutions of the two-body Salpeter equation under the Coulomb and exponential potential for any l state with Laplace approach

Corresponding author: H. Hassanabadi,

Received Date: 2013-03-13
Accepted Date: 2013-04-15
Available Online: 2014-02-05

Abstract: In this paper we have solved the two-body spinless-Salpeter (SS) equation under the Coulomb and exponential type potentials. We have applied an approximation for the centrifugal term in our calculations. The energy eigenvalues and the corresponding eigenfunctions are reported by using the Laplace transform approach for any n, l states.