Skip to main content
SpringerLink
Log in

The modified Woods-Saxon potential in the Duffin-Kemmer-Petiau equation

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

Abstract

The scattering properties of the one-dimensional Duffin-Kemmer-Petiau (DKP) equation are studied for the modified Woods-Saxon potential. The scattering wave function, explicit formulas for the transmission and reflection coefficients are obtained in terms of hypergeometric function.

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. Diaz-Torres, W. Scheid, Nucl. Phys. A 757, 373 (2005).

    Article  ADS  Google Scholar 

  2. K. Hagino, M. Dasgupta, I.I. Gontchar, D.J. Hinda, C.R. Morton, J.O. Newton, arXiv: nucl-th/0110065.

  3. H. Molique, J. Dudek, Phys. Rev. C 56, 1795 (1997).

    Article  ADS  Google Scholar 

  4. L.S. Costa et al., J. Phys. B: Atomic, Mol. Opt. Phys. 32, 2461 (1999).

    Article  ADS  Google Scholar 

  5. V.H. Badalov, H.I. Ahmadov, A.I. Ahmadov, Int. J. Mod. Phys. E 18, 631 (2009).

    Article  ADS  Google Scholar 

  6. A. Arda, R. Sever, Int. J. Mod. Phys. C 19, 763 (2008).

    Article  MATH  ADS  Google Scholar 

  7. S. Hassanabadi, M. Ghominejad, B.H. Yazarloo, S. Zarrinkamar, H. Hassanabadi, Chin. Phys. C 37, 083102 (2013).

    Article  ADS  Google Scholar 

  8. P. Kennedy, J. Phys. A 35, 689 (2002).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. N. Kemmer, Proc. R. Soc. A 166, 127 (1938).

    Article  MATH  ADS  Google Scholar 

  10. R.J. Duffin, Phys. Rev. 54, 1114 (1938).

    Article  ADS  Google Scholar 

  11. N. Kemmer, Proc. R. Soc. A 173, 91 (1939).

    Article  MathSciNet  ADS  Google Scholar 

  12. G. Petiau, Acad. R. Belg. Mem. Collect. 16, 1114 (1936).

    Google Scholar 

  13. H. Hassanabadi, B.H. Yazarloo, S. Zarrinkamar, A.A. Rajabi, Phys. Rev. C 84, 064003 (2011).

    Article  ADS  Google Scholar 

  14. A. Boumali, Can. J. Phys. 85, 1417 (2007).

    Article  ADS  Google Scholar 

  15. A. Boumali, J. Math. Phys. 49, 022302 (2008).

    Article  MathSciNet  ADS  Google Scholar 

  16. S. Zarrinkamar, A.A. Rajabi, B.H. Yazarloo, H. Hassanabadi, Chin. Phys. C 37, 023101 (2013).

    Article  ADS  Google Scholar 

  17. A. Boumali, L. Chetouani, Phys. Lett. A 346, 261 (2005).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  18. S. Zarrinkamar, S.F. Forouhandeh, B.H. Yazarloo, H. Hassanabadi, Eur. Phys. J. Plus 128, 109 (2013).

    Article  Google Scholar 

  19. Y. Kasri, L. Chetouani, Int. J. Theor. Phys. 47, 2249 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  20. H. Hassanabadi, S.F. Forouhandeh, H. Rahimov, S. Zarrinkamar, B.H. Yazarloo, Can. J. Phys. 90, 299 (2012).

    Article  ADS  Google Scholar 

  21. V. Gribov, Eur. Phys. J. C 10, 71 (1999).

    Article  MathSciNet  ADS  Google Scholar 

  22. I.V. Kanatchikov, Rep. Math. Phys. 46, 107 (2000).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  23. J.T. Lunardi, B.M. Pimentel, R.G. Teixeiri, J.S. Valverde, Phys. Lett. A 268, 165 (2000).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  24. J.T. Lunardi, L.A. Manzoni, B.M. Pimentel, J.S. Valverde, Int. J. Mod. Phys. A 17, 205 (2000).

    Article  MathSciNet  ADS  Google Scholar 

  25. M. de Montigny, F.C. Khanna, A.E. Santana, E.S. Santos, J.D.M. Vianna, J. Phys. A 33, L273 (2000).

    Article  MATH  Google Scholar 

  26. L.K. Kerr, B.C. Clark, S. Hama, L. Ray, G.W. Hoffmann, Prog. Theor. Phys. 103, 321 (2000).

    Article  ADS  Google Scholar 

  27. R.E. Kozack, B.C. Clark, S. Hama, V.K. Mishra, R.L. Mercer, L. Ray, Phys. Rev. C 40, 2181 (1989).

    Article  ADS  Google Scholar 

  28. R.C. Barrett, Y. Nedjadi, Nucl. Phys. A 585, 311c (1995).

    Article  ADS  Google Scholar 

  29. S. Ait-Tahar, J.S. Al-Khalili, Y. Nedjadi, Nucl. Phys. A 589, 307 (1995).

    Article  ADS  Google Scholar 

  30. H. Yanar, A. Havare, K. Sogut, Adv. High Energy Phys. 2014, 840907 (2014).

    Article  Google Scholar 

  31. H. Motavalli, S. Fathezadeh, M. Parhizkar, Int. J. Theor. Phys. 50, 3390 (2011).

    Article  MATH  MathSciNet  Google Scholar 

  32. B. Boutabia-Chéraitia, T. Boudjedaa, Phys. Lett. A 338, 97 (2005).

    Article  MATH  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, University of Shahrood, Shahrood, Iran

    M. Darroodi & H. Hassanabadi

  2. Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

    N. Salehi

Authors
  1. M. Darroodi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Hassanabadi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. Salehi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to H. Hassanabadi.

Additional information

Communicated by S. Hands

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Darroodi, M., Hassanabadi, H. & Salehi, N. The modified Woods-Saxon potential in the Duffin-Kemmer-Petiau equation. Eur. Phys. J. A 51, 69 (2015). https://doi.org/10.1140/epja/i2015-15069-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2015-15069-0

Keywords

Search

Navigation