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Scattering amplitude of the Duffin-Kemmer-Petiau equation for the Yukawa potential for J = 0

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Abstract.

The relativistic scattering properties of the Yukawa potential is presented by using the functional analysis method for spin-zero particles in the special case of J = 0. The corresponding calculation formula of scattering amplitude and the phase shifts is derived. A special case of the potential is also considered.

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References

  1. H. Yukawa, Proc. Phys. Math. Soc. Jpn. 17, 48 (1935)

    Google Scholar 

  2. F. Wilczek, Nature 445, 156 (2007)

    Article  ADS  Google Scholar 

  3. A.D. Alhaidari, H. Bahlouli, M.S. Abdelmonem, J. Phys. A 41, 032001 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  4. P.J. Siemens, Phys. Rev. C 1, 98 (1970)

    Article  ADS  Google Scholar 

  5. S.J. Lee, H.H. Gan, E.D. Cooper, S. Das Gupta, Phys. Rev. C 40, 2585 (1989)

    Article  ADS  Google Scholar 

  6. S. Kar, Y.K. Ho, Phys. Rev. A 75, 062509 (2007)

    Article  ADS  Google Scholar 

  7. R. Messina, H. Lowen, Phys. Rev. Lett. 91, 146101 (2003)

    Article  ADS  Google Scholar 

  8. A. Arda, R. Sever, J. Math. Phys. 52, 092101 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  9. H. Hassanabadi, B.H. Yazarloo, N. Salehi, Indian J Phys. 88, 405 (2014)

    Article  ADS  Google Scholar 

  10. S. Hassanababdi, M. Ghominejad, B.H. Yazarloo, M. Solaimani, H. Hassanabadi, Chin. J. Phys. 52, 1205 (2014)

    Google Scholar 

  11. J.J. Sakurai, Modern Quantum Mechanics (Addison Wesley, 1994)

  12. A.D. Alhaidari, H. Bahlouli, M.S. Abdelmonem, F. Al-Ameen, T. Al-Abdulaal, Phys. Lett. A 364, 372 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. A.D. Alhaidari, Ann. Phys. 320, 453 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. X.Y. Chen, T. Chen, C.S. Jia, Eur. Phys. J. Plus 129, 75 (2014)

    Article  Google Scholar 

  15. C.S. Jia, X.P. Li, L.H. Zhang, Few-Body Syst. 52, 11 (2012)

    Article  ADS  Google Scholar 

  16. G.F. Wei, S.H. Dong, Eur. Phys. J. A 43, 185 (2010)

    Article  ADS  Google Scholar 

  17. O. Aydogdu, A. Arda, R. Sever, J. Math. Phys. 53, 102111 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  18. H. Hassanabadi, B.H. Yazarloo, S. Hassanababdi, S. Zarrinkamar, N. Salehi, Acta Phys. Pol. A 124, 20 (2013)

    Article  Google Scholar 

  19. G.F. Wei, X.Y. Liu, W.L. Chen, Int. J. Theor. Phys. 48, 1649 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  20. B.H. Yazarloo, L.L. Lu, G. Liu, S. Zarrinkamar, H. Hassanabadi, Adv. High Energy Phys. 2013, 317605 (2013)

    Article  MathSciNet  Google Scholar 

  21. Altug Arda, Oktay Aydogdu, Ramazan Sever, J. Phys. A: Math Theor. 43, 425204 (2010)

    Article  ADS  Google Scholar 

  22. V.M. Villalba, C. Rojas, Int. J. Mod. Phys. A 21, 313 (2006)

    Article  ADS  Google Scholar 

  23. X.W. Cao, W.L. Chen, Y.Y. Li, G.F. Wei, Phys. Scr. 89, 085001 (2014)

    Article  ADS  Google Scholar 

  24. G.F. Wei, C.Y. Long, S.H. Dong, Phys. Lett. A 372, 2592 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  Google Scholar 

  26. C.Y. Chen, D.S. Sun, C.L. Liu, F.L. Lu, Commun. Theor. Phys. 55, 399 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. C.Y. Chen, F.L. Lu, You Yuan, Chin. Phys. B 21, 030302 (2012)

    Article  ADS  Google Scholar 

  28. C. Rojas, V.M. Villalba, Phys. Rev. A 71, 052101 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  29. G. Petiau, Acad. R. Belg, Classe Sci. 16, 2 (1936) University of Paris thesis

    Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  34. M. Hamzavi, S.M. Ikhdair, Few-Body Syst. 54, 1753 (2013)

    Article  ADS  Google Scholar 

  35. A.S. de Castro, J. Phys. A 44, 035201 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  36. Y. Chargui, A. Trabelsia, L. Chetouani, Phys. Lett. A 374, 2907 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  37. M. Merad, Int. J. Theor. Phys. 46, 2105 (2007)

    Article  MATH  Google Scholar 

  38. A.N. Ikot, H. Hassanabadi, S. Zarrinkamar, B.H. Yazarloo, Few-Body Syst. 55, 211 (2014)

    Article  ADS  Google Scholar 

  39. M. Falek, M. Merad, Commun. Theor. Phys. 50, 587 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  40. M.K. Bahar, F. Yasuk, Can. J. Phys. 92, 1 (2014)

    Article  Google Scholar 

  41. A. Okninski, Int. J. Theor. Phys. 50, 729 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  42. A. Okninski, Symmetry 4, 427 (2012) DOI:10.3390/sym4030427

    Article  MathSciNet  Google Scholar 

  43. R. Dahm, M. Kirchbach, Int. J. Mod. Phys. A 10, 4225 (1995)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  44. G. Velo, A.S. Wightman (Editors), Invariant Wave Equations, in Lecture Notes in Physics, Vol. 73 (Springer Verlag, Berlin, 1978)

  45. E. Fischbach, J.D. Louck, M.M. Nieto, C.K. Scott, J. Math. Phys. 15, 60 (1974)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  46. W. Pauli, Ann. Phys. (Leipzig) 18, 305 (1933)

    Article  ADS  Google Scholar 

  47. W. Pauli, Ann. Phys. (Leipzig) 18, 337 (1933)

    Article  ADS  MATH  Google Scholar 

  48. H.J. Bhabha, Rev. Mod. Phys. 17, 200 (1945)

    Article  MathSciNet  ADS  Google Scholar 

  49. H.J. Bhabha, Rev. Mod. Phys. 21, 451 (1949)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  50. W.I. Fuschich, A.G. Nikitin, Symmetries of Equations of Quantum Mechanics (Allerton Press, New York, 1994)

  51. W. Greiner, Relativistic Quantum Mechanics: Wave Equations, 3rd edition (Springer, Berlin, 2000)

  52. Y. Nedjadi, R.C. Barrett, J. Phys. A, Math. Gen. 27, 4301 (1994)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  53. R.A. Krajcik, M.M. Nieto, Am. J. Phys. 45, 818 (1977)

    Article  ADS  Google Scholar 

  54. R.A. Krajcik, M.M. Nieto, Phys. Rev. D 10, 4049 (1974)

    Article  MathSciNet  ADS  Google Scholar 

  55. R.A. Krajcik, M.M. Nieto, Phys. Rev. D 11, 1442 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  56. R.A. Krajcik, M.M. Nieto, Phys. Rev. D 11, 1459 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  57. R.A. Krajcik, M.M. Nieto, Phys. Rev. D 13, 924 (1976)

    Article  MathSciNet  ADS  Google Scholar 

  58. R.A. Krajcik, M.M. Nieto, Phys. Rev. D 15, 433 (1977)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  60. W.C. Qiang, S.H. Dong, Phys. Lett. A 368, 13 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  61. S.H. Dong, W.C. Qiang, G.H. Sun, V.B. Bezerra, J. Phys. A. 40, 10535 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  62. R.L. Greene, C. Aldrich, Phys. Rev. A 14, 2363 (1976)

    Article  ADS  Google Scholar 

  63. M. Abramowitz, I.A. Stegun (Editors), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (New York, 1965)

  64. F. Cooper, A. Khare, U. Sukhatme Phys. Rep. 251, 267 (1995) (SUSY in Quantum Mechanics

    Article  MathSciNet  ADS  Google Scholar 

  65. R. Kumar Yadav, A. Khare, B.P. Mandal, Ann. Phys. 331, 313 (2013)

    Article  ADS  MATH  Google Scholar 

  66. Z.X. Wang, D.R. Guo, An Introduction to Special Function (Science, Beijing, 1979) (in Chinese)

  67. C.Y. Chen, D.S. Sun, F.L. Lu, Phys. Lett. A 330, 424 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Authors and Affiliations

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

    N. Salehi

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

    H. Hassanabadi

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  1. N. Salehi
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  2. H. Hassanabadi
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Correspondence to N. Salehi.

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Communicated by S. Hands

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Salehi, N., Hassanabadi, H. Scattering amplitude of the Duffin-Kemmer-Petiau equation for the Yukawa potential for J = 0. Eur. Phys. J. A 51, 100 (2015). https://doi.org/10.1140/epja/i2015-15100-6

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  • DOI: https://doi.org/10.1140/epja/i2015-15100-6

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