The neutrino–neutrino interaction effects in supernovae: The point of view from the ‘matter’ basis
- CNRS/IN2P3 and Univ. of Paris-XI (France)
- North Carolina State Univ., Raleigh, NC (United States)
We consider the Hamiltonian for neutrino oscillations in matter in the case of arbitrary potentials including off-diagonal complex terms. We derive the expressions for the corresponding Hamiltonian in the basis of the instantaneous eigenstates in matter, in terms of quantities one can derive from the flavor-basis Hamiltonian and its derivative, for an arbitrary number of neutrino flavors. We make our expressions explicit for the two-neutrino flavor case and apply our results to the neutrino propagation in core-collapse supernovae where the Hamiltonian includes both coupling to matter and to neutrinos. We show that the neutrino flavor evolution depends on the mixing matrix derivatives involving not only the derivative of the matter mixing angles but also of the phases. In particular, we point out the important role of the phase derivatives, that appear due to the neutrino-neutrino interaction, and show how it can cause an oscillating degeneracy between the diagonal elements of the Hamiltonian in the basis of the eigenstates in matter. Lastly, our results also reveal that the end of the synchronization regime is due to a rapid increase of the phase derivative and identify the condition to be fulfilled for the onset of bipolar oscillations involving both the off-diagonal neutrino-neutrino interaction contributions and the vacuum terms.
- Research Organization:
- North Carolina State University, Raleigh, NC (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- Grant/Contract Number:
- SC0006417
- OSTI ID:
- 1327858
- Journal Information:
- Journal of Physics. G, Nuclear and Particle Physics, Vol. 39, Issue 3; ISSN 0954-3899
- Publisher:
- IOP PublishingCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
What can be learned from a future supernova neutrino detection?
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journal | March 2018 |
| The Role of Collective Neutrino Flavor Oscillations in Core-Collapse Supernova Shock Revival | text | January 2011 |
Another look at synchronized neutrino oscillations
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journal | July 2016 |
Collective neutrino oscillations and neutrino wave packets
|
journal | September 2017 |
| Neutrinos and Nucleosynthesis in Hot and Dense Matter | report | January 2016 |
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