Skip to main content
SpringerLink
Log in

Flavor coupled with chiral oscillations in the presence of an external magnetic field

  • Theoretical Physics
  • Published:
The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

Abstract

Reporting to the Dirac wave-packet prescription where it is formally assumed the fermionic nature of the particles, we shall demonstrate that chiral oscillations implicitly aggregated to the interference between positive and negative frequency components of mass eigenstate wave-packets introduce some small modifications to the standard neutrino flavor conversion formula. Assuming the corresponding spinorial solutions of a ‘modified’ Dirac equation, we are specifically interested in quantifying flavor coupled with chiral oscillations for a fermionic Dirac-type particle (neutrino) non-minimally coupling with an external magnetic field B . The viability of the intermediate wave-packet treatment becomes clear when we assume B orthogonal/parallel to the direction of the propagating particle.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P.A.M. Dirac, Proc. R. Soc. A 117, 610 (1928)

    ADS  MATH  Google Scholar 

  2. G. Esposito, P. Santorelli, J. Phys. A 32, 5643 (1999)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  3. A. Alhaidari, hep-th/0503208

  4. E. Einchten, F. Feinberg, Phys. Rev. D 23, 2724 (1981)

    Article  ADS  Google Scholar 

  5. M. Baker, J.S. Ball, F. Zachariasen, Phys. Rev. D 51, 1968 (1995)

    Article  ADS  Google Scholar 

  6. C. Giunti, C.W. Kim, Phys. Rev. D 58, 017301 (1998)

    Article  ADS  Google Scholar 

  7. M. Zralek, Acta Phys. Polon. B 29, 3925 (1998)

    ADS  Google Scholar 

  8. A.E. Bernardini, S. De Leo, Phys. Rev. D 71, 076008 (2005)

    Article  ADS  Google Scholar 

  9. M. Blasone, G. Vitiello, Ann. Phys. 244, 283 (1995)

    Article  Google Scholar 

  10. C. Giunti, J. High Energy Phys. 0211, 017 (2002)

    Article  Google Scholar 

  11. M. Blasone, P.P. Pacheco, H.W. Tseung, Phys. Rev. D 67, 73011 (2003)

    Article  ADS  Google Scholar 

  12. B. Kayser, Phys. Rev. D 24, 110 (1981)

    Article  ADS  Google Scholar 

  13. A.E. Bernardini, S. De Leo, Phys. Rev. D 70, 053010 (2004)

    Article  ADS  Google Scholar 

  14. B. Kayser, F. Gibrat-Debu, F. Perrier, The Physics of Massive Neutrinos (Cambridge University Press, Cambridge, 1989)

  15. B. Kayser, Phys. Lett. B 592, 145 (2004), in: PDG Collaboration, Review of Particle Physics in Neutrino Mass, Mixing and Flavor Change, by B. Kayser

    Google Scholar 

  16. M. Beuthe, Phys. Rep. 375, 105 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  17. Superkamiokande Collaboration, S. Fukuda et al., Phys. Lett. B 537, 179 (2002); Phys. Rev. Lett. 86, 5651 (2001); Phys. Rev. Lett. 85, 3999 (2000)

    Article  Google Scholar 

  18. SNO Collaboration, Q.R. Ahmad et al., Phys. Rev. Lett. 89, 011302 (2002); Phys. Rev. Lett. 89, 011301 (2002); Phys. Rev. Lett. 87, 071301 (2001)

    Article  Google Scholar 

  19. A. Bandyopadhyay et al., Phys. Lett. B 583, 134 (2004)

    Article  Google Scholar 

  20. KamLAND Collaboration, K. Egushi et al., Phys. Rev. Lett. 90, 021802 (2003)

    Article  Google Scholar 

  21. M. Guzzo et al., Nucl. Phys. B 629, 479 (2002)

    Article  Google Scholar 

  22. J. Barranco et al., Phys. Rev. D 66, 093009 (2002)

    Article  Google Scholar 

  23. LSND Collaboration, A. Aguilar et al., Phys. Rev. D 64, 112007 (2001)

    Article  Google Scholar 

  24. LSND Collaboration, C. Athanassopoulos et al., Phys. Rev. Lett. 81, 1774 (1998)

    Article  Google Scholar 

  25. M. Gell-Mann, P. Ramond, R. Slansky, in: Complex Spinors and Unified Theories in Supergravity (North Holland, Amsterdam, 1979)

  26. T. Yanagida, Proc. Workshop Unified Theory and the Baryon Number of the Universe (KEK, Japan, 1979)

  27. J.C. D’Olivo, J.F. Nieves, P.B. Pal, Phys. Rev. Lett. 64, 1088 (1990)

    Article  ADS  Google Scholar 

  28. M.B. Voloshin, M.I. Vysotskii, L.B. Okun, Zh. Eksp. Teor. Fiz. 91, 754 (1986)

    ADS  Google Scholar 

  29. G. Barenboim, J. Bernabéu, O. Vives, Phys. Rev. Lett. 77, 3299 (1996)

    Article  ADS  Google Scholar 

  30. J.C. D’Olivo, J.F. Nieves, Phys. Lett. B 383, 87 (1996)

    Article  ADS  Google Scholar 

  31. S. De Leo, P. Rotelli, Int. J. Theor. Phys. 37, 2193 (1998)

    Article  MATH  Google Scholar 

  32. A.E. Bernardini, S. De Leo, Eur. Phys. J. C 37, 471 (2004)

    Article  ADS  Google Scholar 

  33. J. Schechter, J.W.F. Valle, Phys. Rev. D 24, 1883 (1981)

    Article  ADS  Google Scholar 

  34. C.S. Lim, W. Marciano, Phys. Rev. D 37, 1368 (1988)

    Article  ADS  Google Scholar 

  35. E.K. Akhmedov, Phys. Lett. B 213, 64 (1988)

    Article  ADS  Google Scholar 

  36. C.W. Kim, A. Pevsner, Neutrinos in Physics and Astrophysics (Harwood Academic, Chur, 1993)

  37. S.L. Glashow, Nucl. Phys. 20, 579 (1961); S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967); A. Salam, in Elementary Particle Theory, ed. by N. Svartholm (Almqvist and Wiksell, Stockholm, 1968), p. 367

    Google Scholar 

  38. J.J. Sakurai, Advanced Quantum Mechanics (Addison-Wesley, New York, 1987)

  39. C. Itzykinson, J.B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980)

  40. A.E. Bernardini, S. De Leo, Mod. Phys. Lett. A20, 681 (2005)

    Google Scholar 

  41. M. Fukugita, T. Yanagida, Phys. Rev. Lett. 58, 1807 (1987)

    Article  ADS  Google Scholar 

  42. K.S. Babu, R.N. Mohapatra, Phys. Rev. Lett. 64, 1705 (1990)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto de Física Gleb Wataghin, UNICAMP, PO Box 6165, 13083-970, Campinas, SP, Brasil

    A.E. Bernardini

Authors
  1. A.E. Bernardini
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A.E. Bernardini.

Additional information

PACS

03.65.-w, 11.30.Rd

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bernardini, A. Flavor coupled with chiral oscillations in the presence of an external magnetic field. Eur. Phys. J. C 46, 113–122 (2006). https://doi.org/10.1140/epjc/s2006-02502-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s2006-02502-2

Keywords

Search

Navigation