On the Neutrino Self Refraction Problem from a Many-Body Perspective

We consider a dense neutrino gas as a many body system by taking into account both vacuum oscillations and self interactions of neutrinos. We show that the exact many body Hamiltonian which describes the flavor oscillations of such a dense neutrino gas has many constants of motion whose eigenvalues...

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Bibliographic Details
Published in:AIP conference proceedings 2010-01, Vol.1269 (1), p.189-194
Main Authors: Pehlivan, Y, Kajino, Toshitaka, Balantekin, A B, Yoshida, Takashi, Maruyama, Tomoyuki
Format: Article
Language:English
Subjects:
ANGULAR MOMENTUM
Approximation
APPROXIMATIONS
BINARY STARS
CALCULATION METHODS
COMPOSITE MODELS
Constants
EIGENVALUES
ELEMENTARY PARTICLES
ERUPTIVE VARIABLE STARS
FERMIONS
FLAVOR MODEL
HAMILTONIANS
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
LEPTONS
MANY-BODY PROBLEM
MASSLESS PARTICLES
Mathematical analysis
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NEUTRINO OSCILLATION
NEUTRINO-NEUTRINO INTERACTIONS
NEUTRINOS
Operators
Oscillations
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM NUMBERS
QUANTUM OPERATORS
QUARK MODEL
RANDOM PHASE APPROXIMATION
REFRACTION
SPIN
STARS
SUPERNOVAE
VARIABLE STARS
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Description
Summary:We consider a dense neutrino gas as a many body system by taking into account both vacuum oscillations and self interactions of neutrinos. We show that the exact many body Hamiltonian which describes the flavor oscillations of such a dense neutrino gas has many constants of motion whose eigenvalues represent a set of good quantum numbers. However, if one adopts the random phase approximation as an effective one particle description, these operators are no longer conserved (i.e., they cease to represent good quantum numbers) although their expectation values are still conserved.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.3485133