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Advances in High Energy Physics
Volume 2016, Article ID 2689742, 4 pages
http://dx.doi.org/10.1155/2016/2689742
Research Article

Generalized Solutions of the Dirac Equation, Bosons, and Beta Decay

Chair of Mathematics and Physics, Politechnika Świȩtokrzyska, Al. 1000-lecia PP 7, 25-314 Kielce, Poland

Received 11 May 2016; Accepted 19 July 2016

Academic Editor: Smarajit Triambak

Copyright © 2016 Andrzej Okniński. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Linked References

  1. A. Okniński, “Synthesis of relativistic wave equations: the noninteracting case,” Advances in Mathematical Physics, vol. 2015, Article ID 528484, 5 pages, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. A. Okniński, “Neutrino-assisted fermion-boson transitions,” Acta Physica Polonica B, vol. 46, no. 2, pp. 221–229, 2015. View at Publisher · View at Google Scholar · View at Scopus
  3. J. Beckers, N. Debergh, and A. G. Nikitin, “On parasupersymmetries and relativistic descriptions for spin one particles: I. The free context,” Fortschritte der Physik, vol. 43, no. 1, pp. 67–80, 1995. View at Publisher · View at Google Scholar · View at MathSciNet
  4. J. Beckers, N. Debergh, and A. G. Nikitin, “On parasupersymmetries and relativistic descriptions for spin one particles. {II}. The interacting context with (electro)magnetic fields,” Fortschritte der Physik, vol. 43, no. 1, pp. 81–96, 1995. View at Publisher · View at Google Scholar · View at MathSciNet
  5. A. F. Bennett, “Duffin-Kemmer-Petiau particles are bosons,” Foundations of Physics, 2016. View at Publisher · View at Google Scholar
  6. R. E. Kozack, B. C. Clark, S. Hama, V. K. Mishra, R. L. Mercer, and L. Ray, “Spin-one Kemmer-Duffin-Petiau equations and intermediate-energy deuteron-nucleus scattering,” Physical Review C, vol. 40, no. 5, pp. 2181–2194, 1989. View at Publisher · View at Google Scholar · View at Scopus
  7. V. K. Mishra, S. Hama, B. C. Clark, R. E. Kozack, R. L. Mercer, and L. Ray, “Implications of various spin-one relativistic wave equations for intermediate-energy deuteron-nucleus scattering,” Physical Review C, vol. 43, no. 2, pp. 801–811, 1991. View at Publisher · View at Google Scholar · View at Scopus
  8. Y. Nedjadi and R. C. Barrett, “Solution of the central field problem for a Duffin-Kemmer-Petiau vector boson,” Journal of Mathematical Physics, vol. 35, no. 9, pp. 4517–4533, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  9. T. R. Cardoso, L. B. Castro, and A. S. de Castro, “On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential,” Journal of Physics A: Mathematical and Theoretical, vol. 43, no. 5, Article ID 055306, 18 pages, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. Z. Molaee, M. Ghominejad, H. Hassanabadi, and S. Zarrinkamar, “S-wave solutions of spin-one DKP equation for a deformed Hulthén potential in (1 + 3) dimensions,” The European Physical Journal Plus, vol. 127, no. 9, pp. 1–8, 2012. View at Google Scholar
  11. H. Hassanabadi, Z. Molaee, M. Ghominejad, and S. Zarrinkamar, “Spin-one DKP equation in the presence of Coulomb and harmonic oscillator interactions in 1+3-dimension,” Advances in High Energy Physics, vol. 2012, Article ID 489641, 10 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  12. H. Hassanabadi and M. Kamali, “The spin-one Duffin-Kemmer-Petiau equation in the presence of pseudo-harmonic oscillatory ring-shaped potential,” Chinese Physics B, vol. 22, no. 10, Article ID 100304, 5 pages, 2013. View at Publisher · View at Google Scholar · View at Scopus
  13. H. Hassanabadi, M. Kamali, and B. H. Yazarloo, “Spin-one Duffin-Kemmer-Petiau equation in the presence of Manning-Rosen potential plus a ring-shaped-like potential,” Canadian Journal of Physics, vol. 92, no. 6, pp. 465–471, 2014. View at Publisher · View at Google Scholar · View at Scopus
  14. L. B. Castro and L. P. de Oliveira, “Remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions,” Advances in High Energy Physics, vol. 2014, Article ID 784072, 8 pages, 2014. View at Publisher · View at Google Scholar · View at Scopus
  15. H. Hassanabadi, Z. Molaee, M. Ghominejad, and S. Zarrinkamar, “On remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions,” https://arxiv.org/abs/1404.2223.
  16. C. R. Hagen and W. J. Hurley, “Magnetic moment of a particle with arbitrary spin,” Physical Review Letters, vol. 24, no. 24, pp. 1381–1384, 1970. View at Publisher · View at Google Scholar · View at Scopus
  17. W. J. Hurley, “Relativistic wave equations for particles with arbitrary spin,” Physical Review D, vol. 4, no. 12, pp. 3605–3616, 1971. View at Publisher · View at Google Scholar · View at Scopus
  18. W. J. Hurley, “Invariant bilinear forms and the discrete symmetries for relativistic arbitrary-spin fields,” Physical Review D, vol. 10, no. 4, pp. 1185–1200, 1974. View at Publisher · View at Google Scholar · View at Scopus
  19. J. T. Lopuszański, “The representations of the Poincaré group in the framework of free quantum fields,” Fortschritte der Physik, vol. 26, no. 4, pp. 261–288, 1978. View at Publisher · View at Google Scholar · View at MathSciNet
  20. P. A. Dirac, “Relativistic wave equations,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 155, no. 886, pp. 447–459, 1936. View at Publisher · View at Google Scholar
  21. J. F. Donoghue, E. Golowich, and B. R. Holstein, Dynamics of the Standard Model, Cambridge University Press, Cambridge, UK, 2014.
  22. E. Marsch and Y. Narita, “Fermion unification model based on the intrinsic SU(8) symmetry of a generalized Dirac equation,” Frontiers in Physics, vol. 3, article 82, 8 pages, 2015. View at Publisher · View at Google Scholar
  23. A. Okniński, “Duffin-Kemmer-Petiau and Dirac equations—a supersymmetric connection,” Symmetry, vol. 4, no. 3, pp. 427–440, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. A. Okniński, “Splitting the Kemmer-Duffin-Petiau equations,” Proceedings of Institute of Mathematics of NAS of Ukraine, vol. 50, part 2, pp. 902–908, 2004. View at Google Scholar
  25. M. Thomson, Modern Particle Physics, Cambridge University Press, New York, NY, USA, 2013.
  26. L. de Broglie, Théorie Générale des Corpuscules á Spin, Gauthier-Villars, Paris, France, 1943.
  27. E. M. Corson, Introduction to Tensors, Spinors, and Relativistic Wave Equations, Blackie and Son, London, UK, 1953.
  28. K. S. Krane, Introductory Nuclear Physics, John & Wiley Sons, New York, NY, USA, 1988.
  29. K. A. Olive, “Review of particle physics,” Chinese Physics C, vol. 38, no. 9, Article ID 090001, 2014. View at Publisher · View at Google Scholar