Relativistic symmetries of Deng–Fan and Eckart potentials with Coulomb-like and Yukawa-like tensor interactions

doi:10.1088/1674-1056/23/10/100306

›› 2014, Vol. 23 ›› Issue (10): 100306-100306.doi: 10.1088/1674-1056/23/10/100306

Relativistic symmetries of Deng–Fan and Eckart potentials with Coulomb-like and Yukawa-like tensor interactions

Akpan N. Ikot^a, S. Zarrinkamar^b, B. H. Yazarloo^c, H. Hassanabadi^c

a Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba PMB 5323 Port Harcourt, Nigeria;
b Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran;
c Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

收稿日期:2014-01-14 修回日期:2014-04-07 出版日期:2014-10-15 发布日期:2014-10-15

Relativistic symmetries of Deng–Fan and Eckart potentials with Coulomb-like and Yukawa-like tensor interactions

Akpan N. Ikot^a, S. Zarrinkamar^b, B. H. Yazarloo^c, H. Hassanabadi^c

a Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba PMB 5323 Port Harcourt, Nigeria;
b Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran;
c Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

Received:2014-01-14 Revised:2014-04-07 Online:2014-10-15 Published:2014-10-15
Contact: Akpan N. Ikot E-mail:ndemikotphysics@gmail.com
About author:03.65.Ge; 03.65.Pm; 03.65.Db

摘要/Abstract

摘要： Relativistic symmetries of the Dirac equation under spin and pseudo-spin symmetries are investigated and a combination of Deng-Fan and Eckart potentials with Coulomb-like and Yukawa-like tensor interaction terms are considered. The energy equation is obtained by using the Nikiforov-Uvarov method and the corresponding wave functions are expressed in terms of the hypergeometric functions. The effects of the Coulomb and Yukawa tensor interactions are numerically discussed as well.

关键词: Deng-Fan potential, Eckart potential, Nikiforov-Uvarov method, spin and pseudo-spin symmetries

Abstract: Relativistic symmetries of the Dirac equation under spin and pseudo-spin symmetries are investigated and a combination of Deng-Fan and Eckart potentials with Coulomb-like and Yukawa-like tensor interaction terms are considered. The energy equation is obtained by using the Nikiforov-Uvarov method and the corresponding wave functions are expressed in terms of the hypergeometric functions. The effects of the Coulomb and Yukawa tensor interactions are numerically discussed as well.

Key words: Deng-Fan potential, Eckart potential, Nikiforov-Uvarov method, spin and pseudo-spin symmetries

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

03.65.Pm (Relativistic wave equations) 03.65.Db (Functional analytical methods)

Akpan N. Ikot, S. Zarrinkamar, B. H. Yazarloo, H. Hassanabadi. Relativistic symmetries of Deng–Fan and Eckart potentials with Coulomb-like and Yukawa-like tensor interactions[J]. , 2014, 23(10): 100306-100306.

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Relativistic symmetries of Deng–Fan and Eckart potentials with Coulomb-like and Yukawa-like tensor interactions

Relativistic symmetries of Deng–Fan and Eckart potentials with Coulomb-like and Yukawa-like tensor interactions

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