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Neutrino flavor conversion in a neutrino background: single- versus multi-particle description
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In the early Universe, or near a supernova core, neutrino flavor evolution may be affected by coherent neutrino-neutrino scattering. We develop a microscopic picture of this phenomenon. We show that coherent scattering does not lead to the formation of entangled states in the neutrino ensemble and therefore the evolution of the system can always be described by a set of one-particle equations. We also show that the previously accepted formalism overcounts the neutrino interaction energy; the correct one-particle evolution equations for both active-active and active-sterile oscillations contain additional terms. These additional terms modify the index of refraction of the neutrino medium, but have no effect on oscillation physics.
Forward citations
Cited by 3 Pith papers
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Collective neutrino oscillations: Many-body non-forward effects and non-classicality
In a neutrino-gas model, the many-body Hamiltonian yields different evolution timescales and asymptotics than the quantum kinetic approach with collisions, while quantum resources for the full case sit at the low end ...
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Neutrino helicity oscillations in astrophysical environments: a many-body approach
Many-body neutrino calculations in simple momentum-state configurations yield helicity conversion probabilities orders of magnitude above mean-field results due to momentum exchange.
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Singular Perturbations of Hamilton-Jacobi Equations in the Wasserstein Space
The abstract claims a singular-perturbation limit theorem for second-order Hamilton-Jacobi equations on the Wasserstein space, but the submitted full text does not contain that paper.
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