Collective neutrino oscillations in nonspherical geometry

Dasgupta, Basudeb ; Dighe, Amol ; Mirizzi, Alessandro ; Raffelt, Georg (2008) Collective neutrino oscillations in nonspherical geometry Physical Review D, 78 (3). Article ID 033014. ISSN 1550-7998

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Official URL: http://journals.aps.org/prd/abstract/10.1103/PhysR...

Related URL: http://dx.doi.org/10.1103/PhysRevD.78.033014

Abstract

The rich phenomenology of collective neutrino oscillations has been studied only in one-dimensional or spherically symmetric systems. Motivated by the nonspherical example of coalescing neutron stars, presumably the central engines of short gamma-ray bursts, we use the Liouville equation to formulate the problem for general source geometries. Assuming the neutrino ensemble displays self-maintained coherence, the problem once more becomes effectively one-dimensional along the streamlines of the overall neutrino flux. This approach for the first time provides a formal definition of the “single-angle approximation” frequently used for supernova neutrinos and allows for a natural generalization to nonspherical geometries. We study the explicit example of a disk-shaped source as a proxy for coalescing neutron stars.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:101493
Deposited On:09 Mar 2018 10:24
Last Modified:09 Mar 2018 10:24

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