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Aproximative solutions to the neutrino oscillation problem in matter

Verissimo M. de Aquino·J. S. S. de Oliveira
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Abstract

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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Verissimo M. de Aquino, J. S. S. de Oliveira. 2007-03-21. Aproximative solutions to the neutrino oscillation problem in matter. https://doi.org/10.1088/0031-8949%2F77%2F04%2F045101

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