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Flavor and chiral oscillations with Dirac wave packets

A. E. Bernardini*

S. De Leo*

  • Department of Cosmic Rays and Chronology, State University of Campinas, PO Box 6165, 13083-970, Campinas, SP, Brazil

  • Department of Applied Mathematics, State University of Campinas, PO Box 6065, 13083-970, Campinas, SP, Brazil

  • *Electronic address: alexeb@ifi.unicamp.br
  • †Electronic address: deleo@ime.unicamp.br
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Phys. Rev. D 71, 076008 – Published 15 April, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.076008

Abstract

We report about recent results on Dirac wave packets in the treatment of neutrino flavor oscillation where the initial localization of a spinor state implies an interference between positive and negative energy components of mass-eigenstate wave packets. A satisfactory description of fermionic particles requires the use of the Dirac equation as evolution equation for the mass eigenstates. In this context, a new flavor conversion formula can be obtained when the effects of chiral oscillation are taken into account. Our study leads to the conclusion that the fermionic nature of the particles, where chiral oscillations and the interference between positive and negative frequency components of mass-eigenstate wave packets are implicitly assumed, modifies the standard oscillation probability. Nevertheless, for ultrarelativistic particles and sharply peaked momentum distributions, we can analytically demonstrate that these modifications introduce correction factors proportional to m1,22/p02 which are practically undetectable by any experimental analysis.

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Outline

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Phys. Rev. D 71, 076008– Published 15 April, 2005
  • Received 17 February 2005

© 2005 American Physical Society

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