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Approximation of fermion resonances on a splitting domain wall

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Abstract.

In this paper the splitting of a domain wall is investigated analytically in flat spacetime. We also study fermion localization and resonances on this domain wall. Masses of Kaluza-Klein modes determined by two methods, numerical method and approximation one. We observe that the agreement between approximated values and numeric ones is good. It is found that the number of fermion resonances on the brane is increased with mass parameter.

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References

  1. B. Zwiebach, A First Course in String Theory (Cambridge University, Cambridge, 2009)

  2. L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  3. N. Arkani-Hamed, S. Dimopoulos, G.R. Dvali, Phys. Lett. B 429, 263 (1998)

    Article  ADS  Google Scholar 

  4. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G.R. Dvali, Phys. Lett. B 436, 257 (1998)

    Article  ADS  Google Scholar 

  5. V.A. Rubakov, M.E. Shaposhnikov, Phys. Lett. B 125, 136 (1983)

    Article  ADS  Google Scholar 

  6. C. Csaki, J. Erlich, C. Grojean, T.J. Hollowood, Nucl. Phys. B 584, 359 (2000)

    Article  ADS  Google Scholar 

  7. L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  8. F. Bonjour, C. Charmousis, R. Gregory, Class. Quantum Grav. 16, 2427 (1999)

    Article  ADS  Google Scholar 

  9. W.D. Goldberger, M.B. Wise, Phys. Rev. Lett. 83, 4922 (1999)

    Article  ADS  Google Scholar 

  10. Y.X. Liu, Y. Zhong, K. Yang, EPL 90, 51001 (2010)

    Article  ADS  Google Scholar 

  11. A. Melfo, N. Pantoja, A. Skirzewski, Phys. Rev. D 67, 105003 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  12. A.E.R. Chumbes, M.B. Hott, Phys. Rev. D 81, 045008 (2010)

    Article  ADS  Google Scholar 

  13. R. Gregory, A. Padilla, Class. Quantum Grav. 19, 279 (2002)

    Article  ADS  Google Scholar 

  14. M. Gremm, Phys. Lett. B 478, 434 (2000)

    Article  ADS  Google Scholar 

  15. S. Kobayashi, K. Koyama, J. Soda, Phys. Rev. D 65, 064014 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  16. D. Bazeia, J. Menezes, R. Menezes, Phys. Rev. Lett. 91, 241601 (2003)

    Article  ADS  Google Scholar 

  17. D. Bazeia, L. Losano, Phys. Rev. D 73, 025016 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  18. D. Bazeia, H. Boschi-Filho, F.A. Brito, JHEP 04, 028 (1999)

    Article  ADS  Google Scholar 

  19. D. Bazeia, M.J. dos Santos, R.F. Ribeiro, Phys. Lett. A 208, 84 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  20. D. Bazeia, A.R. Gomes, JHEP 05, 012 (2004)

    Article  ADS  Google Scholar 

  21. A. Campos, Phys. Rev. Lett. 88, 141602 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  22. Z.H. Zhao, Y.X. Liu, H.T. Li, Y.Q. Wang, Phys. Rev. D 82, 084030 (2010)

    Article  ADS  Google Scholar 

  23. B. Bajc, G. Gabadadze, Phys. Lett. B 474, 282 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  24. I. Oda, Phys. Lett. B 496, 113 (2000)

    Article  ADS  Google Scholar 

  25. S. Randjbar-Daemi, M.E. Shaposhnikov, Phys. Lett. B 492, 361 (2000)

    Article  ADS  Google Scholar 

  26. Y. Grossman, M. Neubert, Phys. Lett. B 474, 361 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  27. Y.X. Liu, X.H. Zhang, L.D. Zhang, Y.S. Duan, JHEP 02, 067 (2008)

    Article  ADS  Google Scholar 

  28. R. Koley, S. Kar, Phys. Lett. B 623, 244 (2005) 631

    Article  ADS  MathSciNet  Google Scholar 

  29. A. Melfo, N. Pantoja, J.D. Tempo, Phys. Rev. D 73, 044033 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  30. S. Ichinose, Phys. Rev. D 66, 104015 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  31. R. Koley, J. Mitra, S. SenGupta, Phys. Rev. D 78, 045005 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  32. A. Farokhtabar, A. Tofighi, Adv. High Energy Phys. 2017, 3926286 (2017)

    Article  Google Scholar 

  33. Y.X. Liu, L.D. Zhang, S.W. Wei, Y.S. Duan, JHEP 08, 041 (2008)

    Article  ADS  Google Scholar 

  34. A. Khare, I.C. Christov, A. Saxena, Phys. Rev. E 90, 023208 (2014)

    Article  ADS  Google Scholar 

  35. A Khare, A Saxena, J. Math. Phys. 49, 063301 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  36. Y.X. Liu, J. Yang, Z.H. Zhao, C.E. Fu, Y.S. Duan, Phys. Rev. D 80, 065019 (2009)

    Article  ADS  Google Scholar 

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Farokhtabar, A., Tofighi, A. Approximation of fermion resonances on a splitting domain wall. Eur. Phys. J. Plus 132, 366 (2017). https://doi.org/10.1140/epjp/i2017-11649-7

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  • DOI: https://doi.org/10.1140/epjp/i2017-11649-7

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