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Collective flavor conversions are interactions of neutrinos with quantized flavor waves
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abstract
Collective oscillations in dense neutrino gases (flavor waves) are notable for their instabilities that cause fast flavor conversion. We develop a quantum theory of interacting neutrinos and flavor wave quanta, which are analogous to plasmons, but also carry flavor. The emission or absorption of such flavor plasmons $\psi$, or flavomons, changes the neutrino flavor. When an angular crossing occurs, the process $\nu_\mu\to\nu_e+\psi$ is more rapid than its inverse along the direction of the crossing, triggering stimulated $\psi$ emission and fast instability. Calculating the rate via Feynman diagrams matches the fast instability growth rate. Our novel $\nu$ and $\psi$ kinetic equations, corresponding to quasi-linear theory, describe instability evolution without resolving the small scales of the flavomon wavelength, potentially overcoming the main challenge of fast flavor evolution.
Forward citations
Cited by 5 Pith papers
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Flavomons in Matter Gradients: Ray Tracing and Amplitude Evolution
Matter gradients slow but do not suppress neutrino-mass-induced flavor instabilities, so flavomon ray tracing is required instead of local stability analysis alone.
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Local-equilibrium theory of neutrino oscillations
The authors generalize neutrino flavor-wave linear analysis to arbitrary mixing-equilibrium backgrounds and propose a kinetic-theory closure for turbulent flavor-wave viscosity.
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Predicting the outcome of collisional neutrino flavor conversion
Collisional neutrino flavor instabilities settle into a state at the edge of instability with nonzero flavor coherence, and explicit formulas predict this final state.
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Single-wave solutions of the neutrino fast flavor system. Part II. Weak instabilities and their resonant behavior
For shallow angular crossings, the nonlinear evolution of a single-wave fast flavor instability is a flavor pendulum whose amplitude and period are set by the linear growth rate.
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Single-wave solutions of the neutrino fast flavor system. Part I. Mechanical properties
Single-wave neutrino flavor solutions form a non-integrable spin system without Gaudin invariants, so an exact flavor pendulum exists only for two beams and does not extend to continuous angle distributions.
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