Built on

J. J. Cowan, C. Sneden, J. E. Lawler, A. Aprahamian, M. Wiescher, K. Langanke et al., Origin of the heaviest elements: The rapid neutron-capture process , Rev. Mod. Phys. 93
Original
1901
Earlier work this paper cites.
C. Yi, L. Ma, J. D. Martin and H. Duan, Dispersion relation of the fast neutrino oscillation wave , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
S. A. Richers, G. C. McLaughlin, J. P. Kneller and A. Vlasenko, Neutrino Quantum Kinetics in Compact Objects , Phys. Rev. D 99
Original
1903
Earlier work this paper cites.
A. V. Patwardhan, M. J. Cervia and A. Baha Balantekin, Eigenvalues and eigenstates of the many-body collective neutrino oscillation problem , Phys. Rev. D 99
Original
1905
Earlier work this paper cites.
F. Capozzi, G. Raffelt and T. Stirner, Fast Neutrino Flavor Conversion: Collective Motion vs. Decoherence , JCAP 09
Original
1906
Earlier work this paper cites.
T. Morinaga, H. Nagakura, C. Kato and S. Yamada, Fast neutrino-flavor conversion in the preshock region of core-collapse supernovae , Phys. Rev. Res. 2
Original
1909
Earlier work this paper cites.
J. D. Martin, C. Yi and H. Duan, Dynamic fast flavor oscillation waves in dense neutrino gases , Phys. Lett. B800
Original
1909
Earlier work this paper cites.
L. Johns, H. Nagakura, G. M. Fuller and A. Burrows, Neutrino oscillations in supernovae: angular moments and fast instabilities , Phys. Rev. D 101
Original
1910
Earlier work this paper cites.
S. Abbar, H. Duan, K. Sumiyoshi, T. Takiwaki and M. C. Volpe, Fast Neutrino Flavor Conversion Modes in Multidimensional Core-collapse Supernova Models: the Role of the Asymmetric Neutrino Distributions , Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
R. Glas, H. T. Janka, F. Capozzi, M. Sen, B. Dasgupta, A. Mirizzi et al., Fast Neutrino Flavor Instability in the Neutron-star Convection Layer of Three-dimensional Supernova Models , Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
S. A. Colgate and R. H. White, The Hydrodynamic Behavior of Supernovae Explosions , Astrophys. J. 143
1966
Earlier work this paper cites.
L. Wolfenstein, Neutrino Oscillations in Matter , Phys. Rev. D 17
1978
Earlier work this paper cites.
S. P. Mikheev and A. Yu. Smirnov, Neutrino Oscillations in an Inhomogeneous Medium: Adiabatic Regime , Sov. Phys. JETP 65
1987
Earlier work this paper cites.
L. Stodolsky, On the Treatment of Neutrino Oscillations in a Thermal Environment , Phys. Rev. D 36
1987
Earlier work this paper cites.
H. A. Bethe, Supernova mechanisms , Rev. Mod. Phys. 62
1990
Earlier work this paper cites.
J. T. Pantaleone, Dirac neutrinos in dense matter , Phys. Rev. D46
1992
Earlier work this paper cites.
J. T. Pantaleone, Neutrino oscillations at high densities , Phys. Lett. B 287
1992
Earlier work this paper cites.
V. A. Kostelecky and S. Samuel, Neutrino oscillations in the early universe with an inverted neutrino mass hierarchy , Phys. Lett. B 318
1993
Earlier work this paper cites.
G. Sigl and G. Raffelt, General kinetic description of relativistic mixed neutrinos , Nucl. Phys. B 406
1993
Earlier work this paper cites.
B. H. J. McKellar and M. J. Thomson, Oscillating doublet neutrinos in the early universe , Phys. Rev. D 49
1994
Earlier work this paper cites.
V. A. Kostelecky and S. Samuel, Selfmaintained coherent oscillations in dense neutrino gases , Phys. Rev. D52
1995
Earlier work this paper cites.
Y. Z. Qian and G. M. Fuller, Neutrino-neutrino scattering and matter enhanced neutrino flavor transformation in Supernovae , Phys. Rev. D 51
1995
Earlier work this paper cites.
S. Pastor, G. G. Raffelt and D. V. Semikoz, Physics of synchronized neutrino oscillations caused by selfinteractions , Phys. Rev. D65
2002
Earlier work this paper cites.

Similar

A. Friedland and C. Lunardini, Neutrino flavor conversion in a neutrino background: Single particle versus multiparticle description , Phys. Rev. D 68
2003
Cited alongside, same era.
S. Abbar, Searching for Fast Neutrino Flavor Conversion Modes in Core-collapse Supernova Simulations , JCAP 05
Original
2003
Cited alongside, same era.
R. Sawyer, Speed-up of neutrino transformations in a supernova environment , Phys. Rev. D 72
2005
Cited alongside, same era.
S. Bhattacharyya and B. Dasgupta, Late-time behavior of fast neutrino oscillations , Phys. Rev. D 102
Original
2005
Cited alongside, same era.
F. Capozzi, M. Chakraborty, S. Chakraborty and M. Sen, Fast flavor conversions in supernovae: the rise of mu-tau neutrinos , Phys. Rev. Lett. 125
Original

Then

A. Kartavtsev, G. Raffelt and H. Vogel, Neutrino propagation in media: Flavor-, helicity-, and pair correlations , Phys. Rev. D 91
Original
2015
Later among the works it cites.
H. T. Janka, T. Melson and A. Summa, Physics of Core-Collapse Supernovae in Three Dimensions: a Sneak Preview , Ann. Rev. Nucl. Part. Sci. 66
Original
2016
Later among the works it cites.
S. Chakraborty, R. Hansen, I. Izaguirre and G. Raffelt, Collective neutrino flavor conversion: Recent developments , Nucl. Phys. B 908
Original
2016
Later among the works it cites.
R. F. Sawyer, Neutrino cloud instabilities just above the neutrino sphere of a supernova , Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
S. Chakraborty, R. S. Hansen, I. Izaguirre and G. Raffelt, Self-induced neutrino flavor conversion without flavor mixing , JCAP 03

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2021

Collective Neutrino Flavor Instability Requires a Crossing

Dasgupta, Basudeb

Understand

Neutrinos in supernovae, neutron stars, and in the early Universe may change flavor collectively and unstably, due to neutrino-neutrino forward-scattering.

We prove that for collective instability to occur, the difference of momentum distributions of two flavors must change sign, i.e., there is a zero crossing.
This necessary criterion, which unifies slow and fast instabilities, is valid for Hamiltonian flavor-evolution of ultra-relativistic Standard Model neutrino occupation matrices, including damping due to collisions in the relaxation approximation.
It provides a simple but rigorous condition for collective flavor transformations that are believed to be important for stellar dynamics, nucleosynthesis, and neutrino phenomenology.

Built on

J. J. Cowan, C. Sneden, J. E. Lawler, A. Aprahamian, M. Wiescher, K. Langanke et al., Origin of the heaviest elements: The rapid neutron-capture process , Rev. Mod. Phys. 93
Original
1901
Earlier work this paper cites.
C. Yi, L. Ma, J. D. Martin and H. Duan, Dispersion relation of the fast neutrino oscillation wave , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
S. A. Richers, G. C. McLaughlin, J. P. Kneller and A. Vlasenko, Neutrino Quantum Kinetics in Compact Objects , Phys. Rev. D 99
Original
1903
Earlier work this paper cites.
A. V. Patwardhan, M. J. Cervia and A. Baha Balantekin, Eigenvalues and eigenstates of the many-body collective neutrino oscillation problem , Phys. Rev. D 99
Original
1905
Earlier work this paper cites.
F. Capozzi, G. Raffelt and T. Stirner, Fast Neutrino Flavor Conversion: Collective Motion vs. Decoherence , JCAP 09
Original
1906
Earlier work this paper cites.
T. Morinaga, H. Nagakura, C. Kato and S. Yamada, Fast neutrino-flavor conversion in the preshock region of core-collapse supernovae , Phys. Rev. Res. 2
Original
1909
Earlier work this paper cites.
J. D. Martin, C. Yi and H. Duan, Dynamic fast flavor oscillation waves in dense neutrino gases , Phys. Lett. B800
Original
1909
Earlier work this paper cites.
L. Johns, H. Nagakura, G. M. Fuller and A. Burrows, Neutrino oscillations in supernovae: angular moments and fast instabilities , Phys. Rev. D 101
Original
1910
Earlier work this paper cites.
S. Abbar, H. Duan, K. Sumiyoshi, T. Takiwaki and M. C. Volpe, Fast Neutrino Flavor Conversion Modes in Multidimensional Core-collapse Supernova Models: the Role of the Asymmetric Neutrino Distributions , Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
R. Glas, H. T. Janka, F. Capozzi, M. Sen, B. Dasgupta, A. Mirizzi et al., Fast Neutrino Flavor Instability in the Neutron-star Convection Layer of Three-dimensional Supernova Models , Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
S. A. Colgate and R. H. White, The Hydrodynamic Behavior of Supernovae Explosions , Astrophys. J. 143
1966
Earlier work this paper cites.
L. Wolfenstein, Neutrino Oscillations in Matter , Phys. Rev. D 17
1978
Earlier work this paper cites.
S. P. Mikheev and A. Yu. Smirnov, Neutrino Oscillations in an Inhomogeneous Medium: Adiabatic Regime , Sov. Phys. JETP 65
1987
Earlier work this paper cites.
L. Stodolsky, On the Treatment of Neutrino Oscillations in a Thermal Environment , Phys. Rev. D 36
1987
Earlier work this paper cites.
H. A. Bethe, Supernova mechanisms , Rev. Mod. Phys. 62
1990
Earlier work this paper cites.
J. T. Pantaleone, Dirac neutrinos in dense matter , Phys. Rev. D46
1992
Earlier work this paper cites.
J. T. Pantaleone, Neutrino oscillations at high densities , Phys. Lett. B 287
1992
Earlier work this paper cites.
V. A. Kostelecky and S. Samuel, Neutrino oscillations in the early universe with an inverted neutrino mass hierarchy , Phys. Lett. B 318
1993
Earlier work this paper cites.
G. Sigl and G. Raffelt, General kinetic description of relativistic mixed neutrinos , Nucl. Phys. B 406
1993
Earlier work this paper cites.
B. H. J. McKellar and M. J. Thomson, Oscillating doublet neutrinos in the early universe , Phys. Rev. D 49
1994
Earlier work this paper cites.
V. A. Kostelecky and S. Samuel, Selfmaintained coherent oscillations in dense neutrino gases , Phys. Rev. D52
1995
Earlier work this paper cites.
Y. Z. Qian and G. M. Fuller, Neutrino-neutrino scattering and matter enhanced neutrino flavor transformation in Supernovae , Phys. Rev. D 51
1995
Earlier work this paper cites.
S. Pastor, G. G. Raffelt and D. V. Semikoz, Physics of synchronized neutrino oscillations caused by selfinteractions , Phys. Rev. D65
2002
Earlier work this paper cites.

Similar

A. Friedland and C. Lunardini, Neutrino flavor conversion in a neutrino background: Single particle versus multiparticle description , Phys. Rev. D 68
2003
Cited alongside, same era.
S. Abbar, Searching for Fast Neutrino Flavor Conversion Modes in Core-collapse Supernova Simulations , JCAP 05
Original
2003
Cited alongside, same era.
R. Sawyer, Speed-up of neutrino transformations in a supernova environment , Phys. Rev. D 72
2005
Cited alongside, same era.
S. Bhattacharyya and B. Dasgupta, Late-time behavior of fast neutrino oscillations , Phys. Rev. D 102
Original
2005
Cited alongside, same era.
F. Capozzi, M. Chakraborty, S. Chakraborty and M. Sen, Fast flavor conversions in supernovae: the rise of mu-tau neutrinos , Phys. Rev. Lett. 125
Original

Then

A. Kartavtsev, G. Raffelt and H. Vogel, Neutrino propagation in media: Flavor-, helicity-, and pair correlations , Phys. Rev. D 91
Original
2015
Later among the works it cites.
H. T. Janka, T. Melson and A. Summa, Physics of Core-Collapse Supernovae in Three Dimensions: a Sneak Preview , Ann. Rev. Nucl. Part. Sci. 66
Original
2016
Later among the works it cites.
S. Chakraborty, R. Hansen, I. Izaguirre and G. Raffelt, Collective neutrino flavor conversion: Recent developments , Nucl. Phys. B 908
Original
2016
Later among the works it cites.
R. F. Sawyer, Neutrino cloud instabilities just above the neutrino sphere of a supernova , Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
S. Chakraborty, R. S. Hansen, I. Izaguirre and G. Raffelt, Self-induced neutrino flavor conversion without flavor mixing , JCAP 03

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2005

Cited alongside, same era.

H. Duan, G. M. Fuller and Y.-Z. Qian, Collective neutrino flavor transformation in supernovae , Phys. Rev. D 74

2006

Cited alongside, same era.

H. Duan, G. M. Fuller, J. Carlson and Y.-Z. Qian, Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment. 1. Correlated Neutrino Trajectories , Phys. Rev. D 74

2006

Cited alongside, same era.

S. Hannestad, G. G. Raffelt, G. Sigl and Y. Y. Wong, Self-induced conversion in dense neutrino gases: Pendulum in flavour space , Phys. Rev. D 74

2006

Cited alongside, same era.

Z. Xiong, A. Sieverding, M. Sen and Y.-Z. Qian, Potential Impact of Fast Flavor Oscillations on Neutrino-driven Winds and Their Nucleosynthesis , Astrophys. J. 900