跳至主要内容

Energy Levels of Spin-1/2 Particles with Yukawa Interaction

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=47110#.VGGGX2fHRK0

In this article, Yukawa interaction is used to study the relativistic spin-1/2 particles and obtain their energy levels. The role of Yukawa potential on the spin and pseudospin symmetry solution is investigated systematically by solving the Dirac equation with attractive scalar S(r) and repulsive vector V(r) potentials. Bound state spectrum and wave functions of Yukawa potential are obtained. It is found that the energy eigenvalues strongly depend on the potential parameters.
Cite this paper
Shojaei, M. , Rajabi, A. , Farrokh, M. and Zoghi-Foumani, N. (2014) Energy Levels of Spin-1/2 Particles with Yukawa Interaction. Journal of Modern Physics, 5, 773-780. doi: 10.4236/jmp.2014.59087
 

[1] Alhaidari, A.D., Bahlouli, H. and Al-Hasan, A. (2006) Physics Letters A, 349, 87-97.
http://dx.doi.org/10.1016/j.physleta.2005.09.008
[2] Schulze-Halberg, A. (2006) Chinese Physics Letters, 23, 1365.
http://dx.doi.org/10.1088/0256-307X/23/6/003
[3] Su, R.K. and Ma, Z.Q. (1986) Journal of Physics A: Mathematical and General, 19, 1739.
http://dx.doi.org/10.1088/0305-4470/19/9/045
[4] Ginocchio, J.N. (2004) Physical Review C, 69, Article ID: 034318.
http://dx.doi.org/10.1103/PhysRevC.69.034318
[5] Jia, C.S., Guo, P. and Peng, X.L. (2006) Journal of Physics A: Mathematical and General, 39, 7737.
http://dx.doi.org/10.1088/0305-4470/39/24/010
[6] Zou, X., Yi, L.Z. and Jia, C.S. (2005) Physics Letters A, 346, 54-64.
http://dx.doi.org/10.1016/j.physleta.2005.07.075
[7] Guo, J.Y. and Sheng, Z.Q. (2005) Physics Letters A, 338, 90-96.
http://dx.doi.org/10.1016/j.physleta.2005.02.026
[8] Hu, S.Z. and Su, R.K. (1991) Acta Physics Sinica, 40, 1201. (in Chinese)
[9] Chen, G., Chen, Z.D. and Lou, Z.M. (2004) Chinese Physics, 13, 279.
http://dx.doi.org/10.1088/1009-1963/13/3/002
[10] Qiang, W.C. (2004) Chinese Physics, 13, 575.
http://dx.doi.org/10.1088/1009-1963/13/5/002
[11] Zhang, X.A., Chen, K. and Duan, Z.L. (2005) Chinese Physics, 14, 42.
http://dx.doi.org/10.1088/1009-1963/14/1/009
[12] Lu, F.L., Chen, C.Y. and Sun, D.S. (2005) Chinese Physics, 14, 463.
http://dx.doi.org/10.1088/1009-1963/14/3/005
[13] Chen, C.Y. (2005) Physics Letters A, 339, 283-287.
http://dx.doi.org/10.1016/j.physleta.2005.03.031
[14] de Souza Dutra, A. and Hott, M. (2006) Physics Letters A, 356, 215-219.
http://dx.doi.org/10.1016/j.physleta.2006.03.042
[15] Yi, L.Z., Diao, Y.F., Liu, J.Y. and Jia, C.S. (2004) Physics Letters A, 333, 212-217.
http://dx.doi.org/10.1016/j.physleta.2004.10.054
[16] Zhao, X.Q., Jia, C.S. and Yang, Q.B. (2005) Physics Letters A, 337, 189-196.
http://dx.doi.org/10.1016/j.physleta.2005.01.062
[17] Zhang, X.C., Liu, Q.W., Jia, C.S. and Wang, L.Z. (2005) Physics Letters A, 340, 59-65.
http://dx.doi.org/10.1016/j.physleta.2005.04.011
[18] Shojaei, M.R. and Rajabi, A.A. (2008) Modern Physics Letters A, 23, 3411.
http://dx.doi.org/10.1142/S0217732308027291
[19] Shojaei, M.R., Rajabi, A.A. and Momen, Y. (2011) AIP Conference Proceedings, 1400, 135.
[20] Feizi, H., Rajabi, A.A. and Shojaei, M.R. (2011) Acta Physica Polonica B, 42, 2143.
http://dx.doi.org/10.5506/APhysPolB.42.2143
[21] Nikiforov, A.F. and Uvarov, V.B. (1988) Special Function of Mathematical Physics. Birkhauser, Boston.
http://dx.doi.org/10.1007/978-1-4757-1595-8
[22] Ginocchio, J.N. (2004) Physical Review C, 69, Article ID: 034318.
http://dx.doi.org/10.1103/PhysRevC.69.034318
[23] Arima, A., Harvey, M. and Shimizu, K. (1969) Physics Letters B, 30, 517-522.
http://dx.doi.org/10.1016/0370-2693(69)90443-2
[24] Hecht, K.T. and Adler, A. (1969) Nuclear Physics A, 137, 129-143.
http://dx.doi.org/10.1016/0375-9474(69)90077-3
[25] Ginocchio, J.N. (2005) Physics Reports, 414, 165-261.
http://dx.doi.org/10.1016/j.physrep.2005.04.003
[26] Guo, J.Y. (2012) Physical Review C, 85, Article ID: 021302(R).
http://dx.doi.org/10.1103/PhysRevC.85.021302
[27] Chen, S.W. and Guo, J.Y. (2012) Physical Review C, 85, Article ID: 054312.
http://dx.doi.org/10.1103/PhysRevC.85.054312
[28] Yukawa, H. and Sakata, S. (1935) Proceedings of the Physico-Mathematical Society of Japan, 17, 48.
[29] Feizi, H., Shojaei, M.R. and Rajabi, A.A. (2012) The European Physical Journal Plus, 127, 41.
http://dx.doi.org/10.1140/epjp/i2012-12041-y
[30] Wilczek, F. (2007) Nature, 445, 156-157.
http://dx.doi.org/10.1038/445156a
[31] Messina, R. and Lowen, H. (2003) Physical Review Letters, 91, Article ID: 146101.
http://dx.doi.org/10.1103/PhysRevLett.91.146101
[32] Greiner, W. (2000) Relativistic Quantum Mechanics: Wave Equations. Springer, Berlin.
http://dx.doi.org/10.1007/978-3-662-04275-5
[33] Shenk, A. (2000) Calculus and Analytic Geometry. Scott Foresman & Co., Glenview.
[34] Farrokh, M., Shojaei, M.R. and Rajabi, A.A. (2013) Klein-Gordon Equation with Hulth’en Potential and Position-Dependent Mass. The Europeanphysical Journal Plus, 128, 14.                               eww141111lx

评论

此博客中的热门博文

Does Immigration Promote the Investment of the Monopolistic Firm?

In the present paper, we examine the effect of increasing uncertainty of immigrants’ growth on the optimal timing of investment of a firm that has a monopolistic power over the labor market. It is revealed that when the uncertainty of immigrants’ growth is more than a threshold level, increasing uncertainty of immigrants’ growth accelerates the optimal timing of firms’ investment and enhances the economic growth, even if the uncertainty of immigrants’ growth is formulated by the geometric Brownian motion, which is in sharp contrast to the standard result that an increase in the uncertainty postpones the optimal timing. With an increase in the immigrants over the past ten years, workforces in the host countries have been growing significantly to the extent that the immigrants represent 70% of the increase in the workforce in Europe, and 47% in the United States as OECD indicates. In the present paper, we attempted to investigate the effect of increased uncertainty caused by the growi...

Education Policy Implementation: A Mechanism for Enhancing Primary Education Development in Zanzibar

Education is one of the fundamental rights of individuals; therefore, the government of a country needs to develop and strengthen educational policy and quality as well as to ensure that everyone has equal access to basic education. The improvement of access and quality of education in the world is becoming as an essential factor in development, whereas the basic education (primary school), is acknowledged as a foundation of the higher educational development for every country. To fulfill this goal, governments introduce several policies and procedures; however, it requires some reforms and participation from the politician, policymakers, and other stakeholders to re-examine educational policy so that it can lead to multiplication and betterment of the reforms. Educational reforms actually focus on accountability. A positive educational development and reform is very challenging and needs more effort and strategy on how to use and utilize the resources effectively as such it can achie...