Classical Mode Conversion Description of Neutrino Oscillations in Dense Magnetized Plasmas

Physics – Plasma Physics

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The evidence for neutrino oscillations and therefore neutrinos with mass is now firmly established. Direct evidence from the observations of solar and atmospheric neutrinos have established neutrino oscillations as the explanation of the solar neutrino deficit. Solar neutrinos above a certain minimum energy may be converted into different neutrino flavors on their way through the sun, the MSW effect. This is a matter effect and is dependent on the electron density. The presence of large magnetic fields such as those produced in supernovae can significantly alter the MSW effect and may be important in the evolution of supernovae. We describe neutrino oscillations in dense magnetized plasmas similar to those found in supernovae. The model that we adopt is similar to the classical mode conversion problems found in fluid dynamics and plasma physics. This approach allows for the derivation of analytical results for the neutrino conversion probability for different combinations of background density profile and magnetic field profile.

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