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Neutrino Flavor Pendulum Reloaded: The Case of Fast Pairwise Conversion
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abstract
In core-collapse supernovae or compact binary merger remnants, neutrino-neutrino refraction can spawn fast pair conversion of the type $\nu_e \bar\nu_e \leftrightarrow \nu_x \bar\nu_x$ (with $x=\mu, \tau$), governed by the angle-dependent density matrices of flavor lepton number. In a homogeneous and axially symmetric two-flavor system, all angle modes evolve coherently, and we show that the nonlinear equations of motion are formally equivalent to those of a gyroscopic pendulum. Within this analogy, our main innovation is to identify the elusive characteristic of the lepton-number angle distribution that determines the depth of conversion with the "pendulum spin." The latter is given by the real part of the eigenfrequency resulting from the linear normal-mode analysis of the neutrino system. This simple analogy allows one to predict the depth of flavor conversion without solving the nonlinear evolution equations. Our approach provides a novel diagnostic tool to explore the physics of nonlinear systems.
Forward citations
Cited by 5 Pith papers
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Collective flavor conversions are interactions of neutrinos with quantized flavor waves
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Nearby neutrino flavor conversion in a supernova can boost νp-process yields of p-nuclides like 92Mo and 92Nb by up to two orders of magnitude, matching solar abundances when conversion starts within ~10 km of the pro...
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Single-wave solutions of the neutrino fast flavor system. Part II. Weak instabilities and their resonant behavior
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In a suite of 12 supernova models, electron-neutrino lepton number crossings appear at larger radii when proto-neutron star convection is included and at smaller radii when muon production is included.
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