Collective neutrino oscillations in non-spherical geometry

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dc.creatorDasgupta, Basudeb
dc.creatorDighe, Amol
dc.creatorMirizzi, Alessandro
dc.creatorRaffelt, Georg G.
dc.date2008-05-21
dc.date.accessioned2026-07-07T11:51:00Z
dc.date.available2026-07-07T11:51:00Z
dc.descriptionThe rich phenomenology of collective neutrino oscillations has been studied only in one-dimensional or spherically symmetric systems. Motivated by the non-spherical 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 non-spherical geometries. We study the explicit example of a disk-shaped source as a proxy for coalescing neutron stars.
dc.description14 pages, 6 eps figures
dc.identifierhttps://arxiv.org/abs/0805.3300
dc.identifierhttp://arxiv.org/abs/0805.3300
dc.identifierPhys.Rev.D78:033014,2008
dc.identifierdoi:10.1103/PhysRevD.78.033014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203750
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectAstrophysics
dc.subjectMathematical Physics
dc.titleCollective neutrino oscillations in non-spherical geometry
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