skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Non-Boltzmann behavior in models of interacting neutrinos

Abstract

We reconsider the question of the relative importance of single-particle effects and correlations in the solvable interacting neutrino models introduced by Friedland and Lunardini and by Bell, Rawlinson, and Sawyer. We show, by an exact calculation, that the two particle correlations are not 'small', and that they dominate the time evolution in these models, in spite of indications to the contrary from the rate of equilibration. This result holds even after the model in generalized from the original 2 flavor case to N flavors. The failure of the Boltzmann single-particle approximation in this model is tentatively attributed to the simplicity of the model, in particular, to the assumption that all neutrinos in the initial state are in flavor eigenstates.

Authors:
; ;  [1]
  1. School of Physics, University of Melbourne, Victoria Australia 3010 (Australia)
Publication Date:
OSTI Identifier:
21308504
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 80; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.80.013011; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; CORRELATIONS; EIGENSTATES; EVOLUTION; FLAVOR MODEL; NEUTRINO-NEUTRINO INTERACTIONS; NEUTRINOS

Citation Formats

McKellar, Bruce H. J., Okuniewicz, Ivona, and Quach, James. Non-Boltzmann behavior in models of interacting neutrinos. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.013011.
McKellar, Bruce H. J., Okuniewicz, Ivona, & Quach, James. Non-Boltzmann behavior in models of interacting neutrinos. United States. https://doi.org/10.1103/PHYSREVD.80.013011
McKellar, Bruce H. J., Okuniewicz, Ivona, and Quach, James. 2009. "Non-Boltzmann behavior in models of interacting neutrinos". United States. https://doi.org/10.1103/PHYSREVD.80.013011.
@article{osti_21308504,
title = {Non-Boltzmann behavior in models of interacting neutrinos},
author = {McKellar, Bruce H. J. and Okuniewicz, Ivona and Quach, James},
abstractNote = {We reconsider the question of the relative importance of single-particle effects and correlations in the solvable interacting neutrino models introduced by Friedland and Lunardini and by Bell, Rawlinson, and Sawyer. We show, by an exact calculation, that the two particle correlations are not 'small', and that they dominate the time evolution in these models, in spite of indications to the contrary from the rate of equilibration. This result holds even after the model in generalized from the original 2 flavor case to N flavors. The failure of the Boltzmann single-particle approximation in this model is tentatively attributed to the simplicity of the model, in particular, to the assumption that all neutrinos in the initial state are in flavor eigenstates.},
doi = {10.1103/PHYSREVD.80.013011},
url = {https://www.osti.gov/biblio/21308504}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 1,
volume = 80,
place = {United States},
year = {Wed Jul 01 00:00:00 EDT 2009},
month = {Wed Jul 01 00:00:00 EDT 2009}
}