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Approximate Pseudospin Solutions of the Dirac Equation with the Eckart Potential Including a Coulomb-Like Tensor Potential

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Abstract

We solve the Dirac equation with the Eckart potential including a Coulomb-like tensor potential under pseudospin symmetry limit with arbitrary spin-orbit coupling quantum number κ by using the Nikiforov-Uvarov method. We have obtained closed forms of eigenfunctions, energy eigenvalues and compared our results with other present data.

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References

  1. Del Sol Mesa, A., Quesne, C., Smirnov, Y.F.: J. Phys. A, Math. Gen. 31, 321 (1998)

    Article  ADS  MATH  Google Scholar 

  2. Codriansky, S., Cordero, P., Salamo, S.: J. Phys. A, Math. Gen. 32, 6287 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. Jia, C.S., Zeng, L.X., Sun, L.T.: Phys. Lett. A 294, 185 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Rong, Z., Kjaergaard, H.G., Sage, M.L.: Mol. Phys. 101, 2285 (2003)

    Article  ADS  Google Scholar 

  5. Dong, S.H.: Appl. Math. Lett. 16, 199 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Jia, C.S., Li, Y., Sun, Y., Liu, J.Y., Sun, L.T.: Phys. Lett. A 311, 115 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Haouat, S., Chetouani, L.: Phys. Scr. 77, 025005 (2008)

    Article  ADS  Google Scholar 

  8. Wei, G.F., Liu, X.Y.: Phys. Scr. 78, 065009 (2008)

    Article  ADS  Google Scholar 

  9. Xu, Y., He, S., Jia, C.S.: J. Phys. A, Math. Theor. 41, 255302 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  10. Dong, S.H., Gu, X.Y.: J. Phys. Conf. Ser. 96, 012109 (2008)

    Article  ADS  Google Scholar 

  11. Soylu, A., Bayrak, O., Boztosun, I.: J. Phys. A, Math. Theor. 41, 065308 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  12. Chen, T., Diao, Y.F., Jia, C.S.: Phys. Scr. 79, 065014 (2009)

    Article  ADS  Google Scholar 

  13. Chen, T., Liu, J.Y., Jia, C.S.: Phys. Scr. 79, 055002 (2009)

    Article  ADS  Google Scholar 

  14. Jia, C.S., Chen, T., Cui, L.G.: Phys. Lett. A 373, 1621 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. Xu, Y., He, S., Jia, C.S.: J. Phys. A, Math. Theor. 42, 198002 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  16. Taskin, F.: Int. J. Theor. Phys. 48, 1142 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  17. Liu, X.Y., Wei, G.F., Long, C.Y.: Int. J. Theor. Phys. 48, 463 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  18. Bohr, A., Hamamoto, I., Mottelson, B.R.: Phys. Scr. 26, 267 (1982)

    Article  ADS  Google Scholar 

  19. Dudek, J., Nazarewicz, W., Szymanski, Z., Leander, G.A.: Phys. Rev. Lett. 59, 1405 (1987)

    Article  ADS  Google Scholar 

  20. Troltenier, D., Bahri, C., Draayer, J.P.: Nucl. Phys. A 586, 53 (1995)

    Article  ADS  Google Scholar 

  21. Page, P.R., Goldman, T., Ginocchio, J.N.: Phys. Rev. Lett. 86, 204 (2001)

    Article  ADS  Google Scholar 

  22. Ginocchio, J.N., Leviatan, A., Meng, J., Zhou, S.-G.: Phys. Rev. C 69, 034303 (2004)

    Article  ADS  Google Scholar 

  23. Ginocchio, J.N.: Phys. Rev. Lett. 78(3), 436 (1997)

    Article  ADS  Google Scholar 

  24. Ginocchio, J.N.: Phys. Rep. 414, 165 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  25. Hecht, K.T., Adler, A.: Nucl. Phys. A 137, 129 (1969)

    Article  ADS  Google Scholar 

  26. Arima, A., Harvey, M., Shimizu, K.: Phys. Lett. B 30, 517 (1969)

    Article  ADS  Google Scholar 

  27. Ikhdair, S.M., Sever, R.: Appl. Math. Comput. 216, 911 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  28. Moshinsky, M., Szczepaniak, A.: J. Phys. A, Math. Gen. 22, L817 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  29. Kukulin, V.I., Loyola, G., Moshinsky, M.: Phys. Lett. A 158, 19 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  30. Lisboa, R., Malheiro, M., de Castro, A.S., Alberto, P., Fiolhais, M.: Phys. Rev. C 69, 024319 (2004)

    Article  ADS  Google Scholar 

  31. Alberto, P., Lisboa, R., Malheiro, M., de Castro, A.S.: Phys. Rev. C 71, 034313 (2005)

    Article  ADS  Google Scholar 

  32. Akcay, H.: Phys. Lett. A 373, 616 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  33. Akcay, H.: J. Phys. A, Math. Theor. 40, 6427 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  34. Aydoğdu, O., Sever, R.: Few-Body Syst. 47, 193 (2010)

    Article  ADS  Google Scholar 

  35. Berkdemir, C.: Nucl. Phys. A 770, 32 (2006)

    Article  ADS  Google Scholar 

  36. Chen, T.S., Lü, H.F., Meng, J., Zhang, S.Q., Zhou, S.G.: Chin. Phys. Lett. 20, 358 (2003)

    Article  ADS  Google Scholar 

  37. Alhaidari, A.D., Bahlouli, H., Al-Hasan, A.: Phys. Lett. A 349, 87 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  38. Guo, J.Y., Zhou, F., Guo, F.L., Zhou, J.H.: Int. J. Mod. Phys. A 22, 4825 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  39. Guo, J.Y., Sheng, Z.Q.: Phys. Lett. A 338, 90 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  40. Qiang, W.C., Zhou, R.S., Gao, Y.: J. Phys. A, Math. Theor. 40, 1677 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  41. Xu, Q., Zhu, S.J.: Nucl. Phys. A 768, 161 (2006)

    Article  ADS  Google Scholar 

  42. Eckart, C.: Phys. Rev. 35, 1303 (1930)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  44. Gönül, B., Özer, O., Cançelik, Y., Koçak, M.: Phys. Lett. A 275, 238 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  45. Bayrak, O., Kocak, G., Boztosun, I.: J. Phys. A, Math. Theor. 39, 11521 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  47. Zhang, L.H., Li, X.P., Jia, C.S.: Phys. Lett. A 372, 2201 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  48. Bjorken, J.D., Drell, S.D.: Relativistic Quantum Mechanics. McGraw-Hill, New York (1964)

    Google Scholar 

  49. Meng, J., Sugawara-Tanabe, K., Yamaji, S., Arima, A.: Phys. Rev. C 59, 154 (1999)

    Article  ADS  Google Scholar 

  50. Meng, J., Sugawara-Tanabe, K., Yamaji, S., Ring, P., Arima, A.: Phys. Rev. C 58, R628 (1998)

    Article  ADS  Google Scholar 

  51. Satchler, G.R.: Direct Nuclear Reactions. Oxford University Press, London (1983)

    Google Scholar 

  52. Nikiforov, A.F., Uvarov, V.B.: Special Functions of Mathematical Physic. Birkhauser, Berlin (1988)

    Google Scholar 

  53. Tezcan, C., Sever, R.: Int. J. Theor. Phys. 48, 337 (2009)

    Article  MathSciNet  MATH  Google Scholar 

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Hamzavi, M., Hassanabadi, H. & Rajabi, A.A. Approximate Pseudospin Solutions of the Dirac Equation with the Eckart Potential Including a Coulomb-Like Tensor Potential. Int J Theor Phys 50, 454–464 (2011). https://doi.org/10.1007/s10773-010-0552-6

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  • DOI: https://doi.org/10.1007/s10773-010-0552-6

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