Neutrino Oscillations and the MSW effect in Random Solar Matter

Abstract

We investigate the effects of random density fluctuations on neutrino oscillations in the Sun environment. We show how the average of certain quantities which can be used to describe the MSW effect can be computed analytically. We examine also the hypothesis commonly accepted that only perturbations inside the resonance layer can have relevance. The average amplitud, which gives the ''coherent probability'', is computed in an analytical and exact way for the case of colored $\delta$-correlated gaussian noise: the random perturbation induces a renormalization of the matter density which adquires an imaginary part proportional to the fluctuation amplitud at the resonance region. Integral equations are given for the density matrix of the system in the ''optical'' approximation. PACS: 96.60.Kx, 02.50.Ey, 14.60.Pq,95.30.Cq, 96.60.Hv,14.60.Gh.

27 latex pages, 6 latex figures, >10 .ps uuencoded figures (epsfig acro neccesary) Minor, but numerous, grammar corrections.

References in corpus (4)

• Neutrino Oscillations in Noisy Media
• Neutrinos with Mixing in Twisting Magnetic Fields
• The effect of random matter density perturbations on the MSW solution to the solar neutrino problem
• An exact analytic description of neutrino oscillations in matter with exponentially varying density for arbitrary number of neutrino species

Cited by in corpus (4)

• KamLAND, solar antineutrinos and the solar magnetic field
• KamLAND Bounds on Solar Antineutrinos and neutrino transition magnetic moments
• KamLAND, solar antineutrinos and their magnetic moment
• Particle oscillations in external chaotic fields