Splitting and focusing of neutrino collective states

Details Splitting and focusing of neutrino collective states Splitting and focusing of neutrino collective states

2003-06-13

arxiv.org/abs/astro-ph/0306276v1

Phys.Scripta70:166,2004

Astronomy and Astrophysics

Astrophysics

5 pages, 2 figures (colour)

Scientific paper

10.1088/0031-8949/70/2-3/015

It is shown that the collective nonlinear interactions between intense neutrino or anti-neutrino fluxes and a dense neutrino plasma are governed by a multi-dimensional coupled cubic Schr\"odinger equation in which the interaction potential is positive or negative depending on the neutrino type. The cubic Schr\"odinger equation describes the splitting and focusing of intense neutrino beams due to the nonlinear excitations associated with the modifications of the individual neutrino energies in a dense neutrino background.

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