Exact methods for self interacting neutrinos
Abstract
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:
-
- Mimar Sinan GSÜ, Department of Physics, Şişli, İstanbul 34380 (Turkey)
- Department of Physics, University of Wisconsin - Madison, Wisconsin 53706 (United States)
- 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
- Journal Name:
- AIP Conference Proceedings
- Additional Journal Information:
- 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); Journal ID: ISSN 0094-243X
- 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
Citation Formats
Pehlivan, Y., Balantekin, A. B., and Kajino, Toshitaka. Exact methods for self interacting neutrinos. United States: N. p., 2014.
Web. doi:10.1063/1.4883438.
Pehlivan, Y., Balantekin, A. B., & Kajino, Toshitaka. Exact methods for self interacting neutrinos. United States. https://doi.org/10.1063/1.4883438
Pehlivan, Y., Balantekin, A. B., and Kajino, Toshitaka. 2014.
"Exact methods for self interacting neutrinos". United States. https://doi.org/10.1063/1.4883438.
@article{osti_22306119,
title = {Exact methods for self interacting neutrinos},
author = {Pehlivan, Y. and Balantekin, A. B. and Kajino, Toshitaka},
abstractNote = {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.},
doi = {10.1063/1.4883438},
url = {https://www.osti.gov/biblio/22306119},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1604,
place = {United States},
year = {Tue Jun 24 00:00:00 EDT 2014},
month = {Tue Jun 24 00:00:00 EDT 2014}
}