An approximate solution of the DKP equation under the Hulthén vector potential

  • Using the analytical NU technique as well as an acceptable physical approximation to the centrifugal term, the bound-state solutions of the Duffin-Kemmer-Petiau equation are obtained for arbitrary quantum numbers. The solutions appear in terms of the Jacobi Polynomials. Various explanatory figures and tables are included to complete the study.
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  • [1] Kemmer N. Proc. R. Soc. A, 1938, 166: 127[2] Duffin R J. Phys. Rev., 1938, 54: 1114[3] Kemmer N. Proc. R. Soc. A, 1939, 173: 91[4] Petiau G. University of Paris thesis , Published in Acad. Roy. de Belg., Classe Sci., Mem in 8o 16, No. 2, 1936[5] Cardoso T R et al. Int. J. Theor. Phys., 2010, 49: 10[6] Chetouani L et al. Int. J. Theor. Phys., 2004, 43: 1147[7] de Castro AS. J. Phys. A: Math. Theor., 2011, 44: 035201[8] Nowakowski M. Phys. Lett. A, 1998, 244: 329[9] Lunardi J T et al. Phys. Lett. A, 2000, 268: 165[10] Riedel M. Relativistische Gleichungen fuer Spin-1-Teilchen, Diplomarbeit. Institute for Theoretical Physics, Johann Wolfgang Goethe-University, Frankfurt/Main, 1979[11] Fischbach E. J. Math. Phys., 1973, 14: 1760[12] Clark B C et al. Phys. Rev. Lett., 1985, 55: 592[13] Kalbermann G. Phys. Rev. C, 1986, 34: 2240[14] Kozack R E et al. Phys. Rev. C, 1988, 37: 2898[15] Kozack R E. Phys. Rev. C, 1989, 40: 2181[16] Mishra V K et al. Phys. Rev. C, 1991, 43: 801[17] Clark B C et al. Phys. Lett. B, 1998, 427: 231[18] Gribov V. Eur. Phys. J. C, 1999, 10: 71[19] Kanatchikov I V. Rep. Math. Phys., 2000, 46: 107[20] Lunardi J T et al. Phys. Lett. A, 2000, 268: 165[21] Lunardi J T et al. Int. J. Mod. Phys. A , 2000, 17 : 205[22] de Montigny M et al. J. Phys. A, 2000, 33: L273[23] Hassanabadi H et al. phys. Rev. C, 2011, 84: 064003[24] Oudi R et al. Commun. Theor. Phys., 2012, 57: 15[25] Hassanabadi S, Rajabi A A, Yazarloo B H, Zarrinkamar S, Hassanabadi H. Advances in High Energy Physics, 2012, 804652 (doi: 10.1155/2012/804652)[26] Nedjadi Y, Barrett R C. J. Phys. G: Nucl. Part. Phys., 1993, 19: 87[27] Nedjadi Y. J. Phys. A: Math. Gen., 1998, 31: 3867[28] Boumali A. J. Math. Phys., 2008, 49: 022302[29] Boztosun I. J. Math. Phys. 2006, 47 : 062301[30] Boutabia-Cheraitia B, Boudjedaa T. Phys. Lett. A, 2005, 338: 97[31] Merad M. Int. J. Theor. Phys., 2007, 46 : 8[32] Chargui Y et al. Phys. Lett. A, 2010, 374 :2907[33] Sogut K, Havare A. J. Phys. A: Math. Theor., 2010, 43: 225204[34] Yasuk F. Phys. Scr., 2005, 71: 340[35] Hulthen L, Sugawara M. Encyclopedia of Physics. Vol. 39. edited by Flugge S. Berlin: Springer-Verlag, 1957[36] Jameelt M. J. Phys. A: Math. Gen., 1986, 19: 1967[37] Barnan R, Rajkumar R. J. Phys. A: Math. Gen., 1987, 20: 3051[38] Richard L H. J. Phys. A: Math. Gen., 1992, 25: 1373[40] Hassanabadi H et al. Commun. Theor. Phys., 2011, 56: 423[39] Nikiforov A F, Uvarov V B. Special Functions of Mathematical Physics. Birkhauser, Basel, 1988[41] Hassanabadi H et al. Chin. Phys. Lett., 2012, 29: 020303
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S. Zarrinkamar, A. A. Rajabi, B. H. Yazarloo and H. Hassanabadi. An approximate solution of the DKP equation under the Hulthén vector potential[J]. Chinese Physics C, 2013, 37(2): 023101. doi: 10.1088/1674-1137/37/2/023101
S. Zarrinkamar, A. A. Rajabi, B. H. Yazarloo and H. Hassanabadi. An approximate solution of the DKP equation under the Hulthén vector potential[J]. Chinese Physics C, 2013, 37(2): 023101.  doi: 10.1088/1674-1137/37/2/023101 shu
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Received: 2012-03-05
Revised: 2012-05-02
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An approximate solution of the DKP equation under the Hulthén vector potential

    Corresponding author: B. H. Yazarloo,

Abstract: Using the analytical NU technique as well as an acceptable physical approximation to the centrifugal term, the bound-state solutions of the Duffin-Kemmer-Petiau equation are obtained for arbitrary quantum numbers. The solutions appear in terms of the Jacobi Polynomials. Various explanatory figures and tables are included to complete the study.

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