Skip to main content
Log in

Spin-one DKP equation with generalized coulomb interactions

  • Published:
Journal of the Korean Physical Society Aims and scope Submit manuscript

Abstract

We consider the spin-one Duffin-Kemmer-Petiau (DKP) equation in the presence of a non-minimal vector interaction. For the potential, we consider the generalized coulomb interactions, namely, the generalized Cornell, Richardson, and soft-core terms, which are successful interactions in particle and nuclear physics. None of the resulting equations appears in the form of known equations of mathematical physics. We, therefore, use the idea of the quasi-exact ansatz technique and report the ground-state solutions.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Petiau, University of Paris thesis (1936).

    Google Scholar 

  2. N. Kemmer, Proc. Roy. Soc. A 166, 127 (1938).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. L. J. Kurth, B. C. Clark, E. D. Cooper, S. Hama, R. L. Mercer, L. Ray and G. W. Hoffmann, Phys. Rev. C 50, 2624 (1994).

    Article  ADS  Google Scholar 

  5. R. C. Barret and Y. Nedjadi, Nucl. Phys. A 585, 311 (1995).

    Article  ADS  Google Scholar 

  6. B. C. Clark, R. J. Furnstahl, L. K. Kerr, J. Rusnak and S. Hama, Phys. Lett. B 427, 231 (1998).

    Article  ADS  Google Scholar 

  7. T. R. Cardoso, L. B. Castro and A. S. de Castro, J. Phys. A 43, 055306 (2010).

    Article  ADS  MathSciNet  Google Scholar 

  8. T. R. Cardoso, L. B. Castro and A. S. de Castro, Can. J. Phys. 87, 1185 (2009).

    Article  ADS  Google Scholar 

  9. T. R. Cardoso, L. B. Castro and A. S. de Castro, J. Phys. A 45, 075302 (2012).

    Article  ADS  MathSciNet  Google Scholar 

  10. L. B. Castro, Eur. Phys. J. C 75, 287 (2015).

    Article  ADS  Google Scholar 

  11. S. Hassanabadi and M. Ghominejad, Eur. Phys. J. Plus 129, 273 (2014).

    Article  Google Scholar 

  12. K. Sogut et al., Ann. Phys. 343, 40 (2014).

    Article  ADS  MathSciNet  Google Scholar 

  13. Y. I. Salamin, S. H. Hu, K. Z. Hatsagortsyan and C. H. Keitel, Phys. Rep. 427, 41 (2006).

    Article  ADS  Google Scholar 

  14. J. Von Stecher and C. Greene, Phys. Rev. A 80, 022504 (2009).

    Article  ADS  Google Scholar 

  15. A. Kievsky, E. Garrido, C. Romero-Redondo and P. Barletta, Few-Body Sys. 51, 259 (2011).

    Article  ADS  Google Scholar 

  16. J. L. Richardson, Phys. Lett. B 82, 272 (1976).

    Article  ADS  Google Scholar 

  17. Sh. Banerjee, Phys. Lett. B 611, 27 (2005).

    Article  ADS  Google Scholar 

  18. O. Andreev and V. I. Zakharov, Phys. Rev. D 74, 025023 (2006).

    Article  ADS  Google Scholar 

  19. C. D. White, Phys. Lett. B 652, 79 (2007).

    Article  ADS  Google Scholar 

  20. L. B. Castro and L. P. de Oliveira, AdHEP 2014, Article ID 784072 (2014).

    Google Scholar 

  21. Y. Nedjadi and R. C. Barret, J. Math. Phys. 35, 4517 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  22. S. H. Dong, Int. J. Theor. Phys. 40, 569 (2001).

    Article  Google Scholar 

  23. S. H. Dong, Wave Equations in Higher Dimensions (2011).

    Book  MATH  Google Scholar 

  24. S. H. Dong, Found. Phys. Lett. 15, 385 (2002).

    Article  MathSciNet  Google Scholar 

  25. H. Hassanabadi et al., Phys. Rev. C 84, 064003 (2011).

    Article  ADS  Google Scholar 

  26. H. Hassanabadi, S. F. Forouhandeh, H. Rahimov and S. Zarrinkamar, Can. J. Phys. 90, 299 (2012).

    Article  ADS  Google Scholar 

  27. M. S. Child, S. H. Dong and X. G. Wang, J. Phys. A: Mathematical and General 33, 5653 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  28. S. H. Dong, Phys. Scr. 65, 289 (2002).

    Article  ADS  Google Scholar 

  29. L. B. Castro, Phys. Rev. C 86, 052201 (2012).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Zarrinkamar.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zarrinkamar, S., Panahi, H. & Rezaei, M. Spin-one DKP equation with generalized coulomb interactions. Journal of the Korean Physical Society 69, 117–123 (2016). https://doi.org/10.3938/jkps.69.117

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3938/jkps.69.117

Keywords

Navigation