Sensitivity of neutrinos to the supernova turbulence power spectrum: Point source statistics
Abstract
The neutrinos emitted from the proto-neutron star created in a core-collapse supernova must run through a significant amount of turbulence before exiting the star. Turbulence can modify the flavor evolution of the neutrinos imprinting itself upon the signal detected here at Earth. The turbulence effect upon individual neutrinos, and the correlation between pairs of neutrinos, might exhibit sensitivity to the power spectrum of the turbulence, and recent analysis of the turbulence in a two-dimensional hydrodynamical simulation of a core-collapse supernova indicates the power spectrum may not be the Kolmogorov 5 /3 inverse power law as has been previously assumed. In this paper we study the effect of non-Kolmogorov turbulence power spectra upon neutrinos from a point source as a function of neutrino energy and turbulence amplitude at a fixed postbounce epoch. We find the two effects of turbulence upon the neutrinos—the distorted phase effect and the stimulated transitions—both possess strong and weak limits in which dependence upon the power spectrum is absent or evident, respectively. Since neutrinos of a given energy will exhibit these two effects at different epochs of the supernova each with evolving strength, we find there is sensitivity to the power spectrum present in the neutrino burst signal from a Galactic supernova.
- Publication:
-
Physical Review D
- Pub Date:
- July 2015
- DOI:
- 10.1103/PhysRevD.92.013009
- arXiv:
- arXiv:1410.5698
- Bibcode:
- 2015PhRvD..92a3009K
- Keywords:
-
- 47.27.-i;
- 14.60.Pq;
- 97.60.Bw;
- Turbulent flows;
- Neutrino mass and mixing;
- Supernovae;
- High Energy Physics - Phenomenology;
- Astrophysics - Solar and Stellar Astrophysics
- E-Print:
- Matches version accepted by PRD