Fast neutrino flavor conversion: Roles of dense matter and spectrum crossing
Abstract
The flavor conversion of a neutrino usually occurs at densities ≲GF-1ω , whether in ordinary matter or a dense neutrino medium, and on time/distance scales of order ω-1, where GF is the Fermi weak coupling constant and ω is the typical vacuum oscillation frequency of the neutrino. In contrast, fast neutrino flavor conversions or fast neutrino oscillations can occur on scales much shorter than ω-1 in a very dense, anisotropic neutrino gas such as that in a core-collapse supernova or a binary neutron star merger. The origin of fast neutrino oscillations still seems elusive except that it is a mathematical solution to the equation of motion. It has been suggested that the fast oscillations in stationary neutrino gases require a crossing in the electron lepton number angular distribution of the neutrino and that they are suppressed at large matter densities as normal oscillations are. By inspecting a simple four-beam neutrino model we illustrate how the multi-angle effects that were once found to suppress collective neutrino oscillations now give rise to fast flavor conversions. As a result, a large matter density can induce fast oscillations in certain astrophysical scenarios such as at the early epoch of a core-collapse supernova. We also provide an explicit proof of the necessity of a crossed neutrino angular distribution for fast oscillations to occur in an outward flowing, axially symmetric neutrino flux such as in the multi-bulb supernova model. However, fast oscillations can occur without a crossed angular distribution when both inward and outward flowing neutrino fluxes are present in a stationary neutrino gas.
- Publication:
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Physical Review D
- Pub Date:
- August 2018
- DOI:
- 10.1103/PhysRevD.98.043014
- arXiv:
- arXiv:1712.07013
- Bibcode:
- 2018PhRvD..98d3014A
- Keywords:
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- High Energy Physics - Phenomenology;
- Astrophysics - High Energy Astrophysical Phenomena;
- Nuclear Theory
- E-Print:
- 11 pages, 4 figures. Updated with editorial changes and clarifications