Skip to main content
SpringerLink
Log in

Solutions of Dirac equations with the Pöschl-Teller potential

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract.

By using the basic concepts of the supersymmetric quantum mechanics formalism and the function analysis method, we solve the Dirac equation with vector and scalar potentials and obtain the bound-state solutions for the nuclei in the relativistic Pöschl-Teller potential. All of the analyses are prepared under the conditions of the exact spin symmetry and pseudospin symmetry. The exact energy equation and corresponding two-component spinor wave functions for s -wave bound states are obtained analytically.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. Arima, M. Harvey, K. Shimizu, Phys. Lett. B 30, 517 (1969).

    Article  ADS  Google Scholar 

  2. K.T. Hecht, A. Adler, Nucl. Phys. A 137, 129 (1969).

    Article  ADS  Google Scholar 

  3. A. Bohr, I. Hamamoto, B.R. Mottelson, Phys. Scr. 26, 267 (1982).

    Article  ADS  Google Scholar 

  4. J. Dudek, W. Nazarewicz, Z. Szymanski, G.A. Leander, Phys. Rev. Lett. 59, 1405 (1987).

    Article  ADS  Google Scholar 

  5. D. Troltenier, C. Bahri, J.P. Draayer, Nucl. Phys. A 586, 53 (1995).

    Article  ADS  Google Scholar 

  6. J.N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997).

    Article  ADS  Google Scholar 

  7. J. Meng, K. Sugawara-Tanabe, S. Yamaji, P. Ring, A. Arima, Phys. Rev. C 58, R628 (1998)

  8. J.N. Ginocchio, Phys. Rep. 414, 165 (2005).

    Article  ADS  MathSciNet  Google Scholar 

  9. S. Marcos, M. López-Quelle, R. Niembro, L.N. Savushkin, P. Bernardos, Eur. Phys. J. A 17, 173 (2003).

    Article  ADS  Google Scholar 

  10. P.R. Page, T. Goldman, J.N. Ginocchio, Phys. Rev. Lett. 86, 204 (2001).

    Article  ADS  Google Scholar 

  11. S.G. Zhou, J. Meng, P. Ring, Phys. Rev. Lett. 91, 262501 (2003).

    Article  ADS  Google Scholar 

  12. A. Leviatan, Phys. Rev. Lett. 92, 202501 (2004).

    Article  ADS  Google Scholar 

  13. J.N. Ginocchio, Phys. Rev. Lett. 95, 252501 (2005).

    Article  ADS  Google Scholar 

  14. A.D. Alhaidari, H. Bahlouli, A. Al-Hasan, Phys. Lett. A 349, 87 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  15. T.S. Chen, H.F. Lu, J. Meng, S.G. Zhou, Chin. Phys. Lett. 20, 358 (2003).

    Article  ADS  Google Scholar 

  16. J.N. Ginocchio, Phys. Rev. C 69, 034318 (2004).

    Article  ADS  Google Scholar 

  17. R. Lisboa, M. Malheiro, A.S. De Castro, P. Alberto, M. Fiolhais, Phys. Rev. C 69, 024319 (2004)

    Article  ADS  Google Scholar 

  18. J.Y. Gou, X.Z. Fang, F.X. Xu, Nucl. Phys. A 757, 411 (2005).

    Article  ADS  Google Scholar 

  19. J.Y. Gou, J.C. Han, R.D. Wang, Phys. Lett. A 353, 378 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  20. Q. Xu, S.J. Zhu, Nucl. Phys. A 768, 161 (2006).

    Article  ADS  Google Scholar 

  21. C. Berkdemir, Nucl. Phys. A 770, 32 (2006).

    Article  ADS  Google Scholar 

  22. C.S. Jia, P. Guo, X.L. Peng, J. Phys. A: Math. Gen. 39, 7737 (2006).

    Article  MATH  ADS  Google Scholar 

  23. C.S. Jia, J.Y. Liu, L. He, L.T. Sun, Phys. Scr. 75, 388 (2007).

    Article  MATH  ADS  Google Scholar 

  24. D. Schiöberg, Mol. Phys. 59, 1123 (1986).

    Article  ADS  Google Scholar 

  25. G. Pöschl, E. Teller, Z. Phys. 83, 143 (1933).

    Article  MATH  ADS  Google Scholar 

  26. I. Infeld, T.E. Hull, Rev. Mod. Phys. 23, 21 (1951)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  27. C.M. Bender, S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  28. A. Mostafazadeh, J. Math. Phys. 43, 205

  29. C.S. Jia, Y. Sun, Y. Li, Phys. Lett. A 305, 231 (2002).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  30. Y.F. Diao, L.Z. Yi, C.S. Jia, Phys. Lett. A 332, 157 (2004).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  31. X.C. Zhang, Q.W. Liu, C.S. Jia, L.Z. Wang, Phys. Lett. A 340, 59 (2005).

    Article  ADS  MATH  Google Scholar 

  32. J.N. Ginocchio, Phys. Rep. 315, 231 (1999).

    Article  Google Scholar 

  33. O.B. Zaslavskii, Phys. Lett. A 149, 365 (1990).

    Article  ADS  Google Scholar 

  34. P.P. Corso, E. Fiordilino, F. Persico, J. Phys. B: At. Mol. Opt. Phys. 38, 1015 (2005).

    Article  ADS  Google Scholar 

  35. E. Witten, Nucl. Phys. B 185, 513 (1981)

    Article  ADS  Google Scholar 

  36. L.E. Gendenshtein, Sov. Phys.-JETP Lett. 38, 356 (1983).

    ADS  Google Scholar 

  37. J.W. Dabrowska, A. Khare, U.P. Sukhatme, J. Phys. A: Math. Gen. 21, L195 (1988).

  38. C.S. Jia, X.G. Wang, X.K. Yao, P.C. Chen, W. Xiao, J. Phys. A: Math. Gen. 31, 4763 (1998).

    Article  MATH  ADS  Google Scholar 

  39. W.C. Qiang, R.S. Zhou, Y. Gao, J. Phys. A: Math. Theor. 40, 1677 (2007).

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, 610500, Chengdu, PRC

    C. -S. Jia & P. Guo

  2. Department of Teaching Affairs, China West Normal University, 637002, Nanchong, PRC

    Y. -F. Diao

  3. School of Mathematics and Computer Science, Xihua University, 610039, Chengdu, PRC

    L. -Z. Yi

  4. College of Sciences, Southwest Petroleum University, 610500, Chengdu, PRC

    X. -J. Xie

Authors
  1. C. -S. Jia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Y. -F. Diao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. L. -Z. Yi
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. X. -J. Xie
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to C. -S. Jia.

Additional information

G. Orlandini

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jia, C.S., Guo, P., Diao, Y.F. et al. Solutions of Dirac equations with the Pöschl-Teller potential. Eur. Phys. J. A 34, 41–48 (2007). https://doi.org/10.1140/epja/i2007-10486-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2007-10486-2

PACS.

Search

Navigation