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Effect of Logarithmic Mesonic Potential on Nucleon Magnetic Moments and Hedgehog Mass

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Abstract

The logarithmic mesonic potential is proposed for computing some nucleon properties. The logarithmic potential is based on some aspects of QCD. The field equations have been solved in mean-field approximation. Good results are obtained for the nucleon magnetic moment and the hedgehog mass in comparison with the Skyrmion model. In particular, nucleon properties are calculated for sigma and quark masses which are computed recently.

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References

  1. Gastorowicz, S., Geffen, D.A.: Rev. Mod. Phys. 41(3) (1969)

  2. Gell-Mann, M., Levy, M.: Nuovo Cimento 16, 705 (1960)

    Article  MATH  MathSciNet  Google Scholar 

  3. Birse, M., Banerjee, M.: Phys. Rev. D 31, 118 (1985)

    Article  ADS  Google Scholar 

  4. Broniowski, W., Banerjee, M.: Phys. Lett. B 158, 335 (1985)

    Article  ADS  Google Scholar 

  5. Birse, M.: Phys. Rev. D 33, 1934 (1986)

    Article  ADS  Google Scholar 

  6. Goeke, K., Harve, M., Gru, F., Urbano, J.N.: Phys. Rev. D 37, 754 (1988)

    Article  ADS  Google Scholar 

  7. Aly, T.S.T., McNeil, J.A., Pruess, S.: Phys. Rev. D 60, 114002 (1999)

    Article  ADS  Google Scholar 

  8. Aly, T.S.T., Rashdan, M., Abu-Shady, M.: Int. J. Theor. Phys. 45(9), 1654–1658 (2006)

    Article  Google Scholar 

  9. Broniowski, W., Golli, B.: Nucl. Phys. A 714, 575–588 (2003)

    Article  MATH  ADS  Google Scholar 

  10. Dmitrasinovic, V., Myhrer, F.: arXiv:hep-ph/9911320

  11. Bjorken, J.D., Nauenberg, M.: Ann. Rev. Nucl. Sci. 18, 229 (1968)

    Article  ADS  Google Scholar 

  12. Rashdan, M., Abu-Shady, M., Ali, T.S.T.: Int. J. Mod. Phys. E 15(1), 143–152 (2006)

    Article  ADS  Google Scholar 

  13. Rashdan, M., Abu-Shady, M., Ali, T.S.T.: Int. J. Mod. Phys. A 22(14–15), 2673–2681 (2007)

    Article  MATH  ADS  Google Scholar 

  14. Abu-Shady, M., Rashdan, M., Ali, T.S.T.: Fizika B (Zagrab) 16(1), 59–66 (2007)

    Google Scholar 

  15. Sahu, P.K., Ohnishi, A.: Prog. Theor. Phys. 104, 1163–1171 (2000)

    Article  ADS  Google Scholar 

  16. Boguta, J.: Phys. Lett. B 120, 34 (1983)

    Article  ADS  Google Scholar 

  17. Boguta, J.: Phys. Lett. B 128, 19 (1983)

    Article  ADS  Google Scholar 

  18. Sahu, P.K., Jha, T.K., Panda, K.C., Patra, S.K.: Nucl. Phys. A 733, 169–184 (2004)

    Article  MATH  ADS  Google Scholar 

  19. Tsubakihara, K., Ohnishi, A.: Prog. Theor. Phys. 117, 903–921 (2007)

    Article  ADS  Google Scholar 

  20. Rashdan, M.: Chaos Solitons Fractals 18, 107 (2003)

    Article  Google Scholar 

  21. Leutwyler, H.: Int. Mod. Phys. A 22, 257–265 (2007)

    Article  ADS  Google Scholar 

  22. Petropoulos, N.: arXiv:hep-ph/0402136v1 (2004)

  23. Petropoulos, N.: J. Phys. G 25, 2225 (1999). arXiv:hep-ph/9809383

    Article  Google Scholar 

  24. Mosel, U.: Fields, Symmetries and Quraks. McGraw-Hill, New York (1989)

    Google Scholar 

  25. Koonin, S.E., Meredith, D.C.: Computational Physics (Fortran version). Addison Wesley, New York (1990)

    MATH  Google Scholar 

  26. Braghin, F.L., Cavalcante, I.P.: Phys. Rev. C 67, 065207 (2003)

    Article  ADS  Google Scholar 

  27. Brink, D.M., Satchler, G.K.: Angular Momentum. Oxford University Press, Oxford (1971)

    Google Scholar 

  28. Kroemer, H.: Quantum Mechanics. Prentice Hall, New York (1944)

    Google Scholar 

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Correspondence to M. Abu-Shady.

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Abu-Shady, M. Effect of Logarithmic Mesonic Potential on Nucleon Magnetic Moments and Hedgehog Mass. Int J Theor Phys 48, 115–126 (2009). https://doi.org/10.1007/s10773-008-9787-x

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  • DOI: https://doi.org/10.1007/s10773-008-9787-x

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