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Title: Exact methods for self interacting neutrinos

The effective many-body Hamiltonian which describes vacuum oscillations and self interactions of neutrinos in a two flavor mixing scheme under the single angle approximation has the same dynamical symmetries as the well known BCS pairing Hamiltonian. These dynamical symmetries manifest themselves in terms of a set of constants of motion and can be useful in formulating the collective oscillation modes in an intuitive way. In particular, we show that a neutrino spectral split can be simply viewed as an avoided level crossing between the eigenstates of a mean field Hamiltonian which includes a Lagrange multiplier in order to fix the value of an exact many-body constant of motion. We show that the same dynamical symmetries also exist in the three neutrino mixing scheme by explicitly writing down the corresponding constants of motion.
Authors:
 [1] ;  [2] ;  [3]
  1. Mimar Sinan GSÜ, Department of Physics, Şişli, İstanbul 34380 (Turkey)
  2. Department of Physics, University of Wisconsin - Madison, Wisconsin 53706 (United States)
  3. National Astronomical Observatory of Japan 2-21-1 Osawa, Mitaka, Tokyo, 181-8588, Japan and Department of Astronomy, University of Tokyo, Tokyo 113-0033 (Japan)
Publication Date:
OSTI Identifier:
22306119
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1604; Journal Issue: 1; Conference: PPC 2013: 7. international conference on interconnections between particle physics and cosmology, Lead-Deadwood, SD (United States), 24 Jun - 6 Jul 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; FLAVOR MODEL; HAMILTONIANS; MANY-BODY PROBLEM; NEUTRINOS; OSCILLATION MODES; SYMMETRY