Aproximative solutions to the neutrino oscillation problem in matter

Details Aproximative solutions to the neutrino oscillation problem in matter Aproximative solutions to the neutrino oscillation problem in matter

2007-03-14

arxiv.org/abs/hep-ph/0703151v2

Phys.Scripta77:045101,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 5 figures

Scientific paper

10.1088/0031-8949/77/04/045101

We present approximative solutions to the neutrino evolution equation calculated by different methods. In a two neutrino framework, using the physical parameters which gives the main effects to neutrino oscillations from nu{e} to another flavors for L=3000Km and E=1GeV, the results for the transition probability calculated by using series solutions, by to take the neutrino evolution operator as a product of ordered partial operators and by numerical methods, for a linearly and sinusoidally varying matter density are compared. The extension to an arbitrary density profile is discussed and the evolution operator as a product of partial operators in the three neutrino case is obtained.

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