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

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

Aug 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1269..189p&link_type=abstract

THE 10TH INTERNATIONAL SYMPOSIUM ON ORIGIN OF MATTER AND EVOLUTION OF GALAXIES: OMEG-2010. AIP Conference Proceedings, Volume 1

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3

Supernovae, Neutrino-Neutrino Interactions, Random Phase Approximation, Spin, Supernovae, Neutrino, Muon, Pion, And Other Elementary Particles, Cosmic Rays, Hartree-Fock And Random-Phase Approximations, Spin, Parity, And Isobaric Spin

Scientific paper

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.

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