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

Journal Article · Thu Aug 12 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3485133· OSTI ID:21426517

Pehlivan, Y ^[1]; Kajino, Toshitaka ^[2]; Balantekin, A B ^[3]; Yoshida, Takashi ^[4]; Maruyama, Tomoyuki ^[5]

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1. Mimar Sinan Fine Arts University Besiktas, Istanbul 34349 (Turkey)
2. National Astronomical Observatory of Japan 2-21-1 Osawa, Mitaka Tokyo, 181-8588 (Japan)
3. Department of Physics, University of Wisconsin, Madison, WI 53706 (United States)
4. Department of Astronomy, Graduate School of Science, University of Tokyo, Tokyo 113-0033 (Japan)
5. College of Bioresource Sciences, Nihon University, Fujisawa 252-8510 (Japan)

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.

• OSTI ID: 21426517
• Journal Information: AIP Conference Proceedings, Vol. 1269, Issue 1; Conference: OMEG-2010: 10. international symposium on origin of matter and evolution of galaxies, Osaka (Japan), 8-10 Mar 2010; Other Information: DOI: 10.1063/1.3485133; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EIGENVALUES
FLAVOR MODEL
HAMILTONIANS
MANY-BODY PROBLEM
NEUTRINO OSCILLATION
NEUTRINO-NEUTRINO INTERACTIONS
NEUTRINOS
QUANTUM NUMBERS
RANDOM PHASE APPROXIMATION
REFRACTION
SPIN
SUPERNOVAE
ANGULAR MOMENTUM
APPROXIMATIONS
BINARY STARS
CALCULATION METHODS
COMPOSITE MODELS
ELEMENTARY PARTICLES
ERUPTIVE VARIABLE STARS
FERMIONS
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
LEPTONS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM OPERATORS
QUARK MODEL
STARS
VARIABLE STARS