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Asymptotic states of fast neutrino-flavor conversions in the three-flavor framework
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There has been growing evidence that mu and tau neutrinos are noticeably different due to the emergence of muons in core-collapse supernovae (CCSNe) and binary neutron star mergers (BNSMs). Recent theoretical studies also suggest that all flavors of neutrinos and antineutrinos inevitably experience some flavor mixing instabilities including fast neutrino flavor conversions (FFC), which corresponds to one of the collective neutrino oscillations powered by neutrino self-interactions. This represents a need for quantum kinetic treatment in the numerical modeling of neutrino dynamics, which is, however, a formidable computational challenge. In this paper, we present an approximate method to predict asymptotic states of FFC without solving a quantum kinetic equation under a three-flavor framework, in which mu and tau neutrino distributions are not necessarily identical to each other. The approximate method is developed based on a Bhatnagar-Gross-Krook (BGK) relaxation time prescription, capable of capturing essential features of mixing competitions among three different flavor-coherent states. Our proposed scheme is computationally inexpensive and easy to implement in any classical neutrino transport scheme.
Forward citations
Cited by 6 Pith papers
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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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Quasi-steady flavor configuration of multi-energy neutrino ensembles
Semi-analytic formulas for the quasi-steady flavor state of multi-energy neutrinos reproduce numerical kinetic-equation solutions to about 10-15% accuracy in homogeneous periodic boxes.
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Comparative Testing of Subgrid Models for Fast Neutrino Flavor Conversions in Core-collapse Supernova Simulations
A 1D supernova simulation with four-species BGK subgrid modeling shows that three-species assumptions overestimate flavor conversion and that semi-implicit time integration is the most reliable.
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Flavor Equilibration of Supernova Neutrinos: Exploring the Dynamics of Slow Modes
Slow flavor conversion drives supernova neutrinos to a coarse-grained flavor-equilibrated state within a few inverse vacuum frequencies, with survival probabilities set by the neutrino-antineutrino density ratio alone.
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Neutrino flavor instabilities in a binary neutron star merger remnant: Roles of a long-lived hypermassive neutron star
In a long-lived hypermassive neutron star merger remnant, fast flavor instabilities occur transiently and locally while collisional flavor instabilities persist widely in the disk for about one second.
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