Constraints on almost-Dirac neutrinos from neutrino-antineutrino oscillations

Mathematics – Probability

Scientific paper

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63

Antineutrinos, Big Bang Cosmology, Neutrinos, Nuclear Fusion, Oscillations, Astronomical Models, Bosons, Hamiltonian Functions

Scientific paper

A new formalism for damped oscillations is proposed in which the incoherent interactions are incorporated into the imaginary part of the Hamiltonian. This gives a more rigorous description of the approach of the sterile neutrino species toward thermal equilibrium than the heuristic procedure of multiplying the oscillation probability times the ordinary interaction rate to obtain the interaction rate of the sterile process. The approach proposed here is also simpler to use than the density-matrix approach.

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