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Collective neutrino oscillations in nonspherical geometry

Basudeb Dasgupta1, Amol Dighe1, Alessandro Mirizzi2,3, and Georg Raffelt2

  • 1Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
  • 2Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805 München, Germany
  • 3Istituto Nazionale di Fisica Nucleare, Roma, Italy

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Phys. Rev. D 78, 033014 – Published 28 August, 2008

DOI: https://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.

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Phys. Rev. D 78, 033014– Published 28 August, 2008
  • Received 27 May 2008

© 2008 American Physical Society

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