Stimulated neutrino transformation with sinusoidal density profiles
Abstract
Large amplitude oscillations between the states of a quantum system can be stimulated by sinusoidal external potentials with frequencies that are similar to the energy level splitting of the states or a fraction thereof. Situations where the applied frequency is equal to an integer fraction of the energy level splittings are known as parametric resonances. We investigate this effect for neutrinos both analytically and numerically for the case of arbitrary numbers of neutrino flavors. We look for environments where the effect may be observed and find that supernovae are the one realistic possibility due to the necessity of both large densities and large amplitude fluctuations. In conclusion, the comparison of numerical and analytical results of neutrino propagation through a model supernova reveals that it is possible to predict the locations and strengths of the stimulated transitions that occur.
- Authors:
-
- North Carolina State Univ., Raleigh, NC (United States)
- Publication Date:
- Research Org.:
- North Carolina State University, Raleigh, NC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1327857
- Grant/Contract Number:
- SC0006417
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Physics. G, Nuclear and Particle Physics
- Additional Journal Information:
- Journal Volume: 40; Journal Issue: 5; Journal ID: ISSN 0954-3899
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; neutrino
Citation Formats
Kneller, J. P., McLaughlin, G. C., and Patton, K. M. Stimulated neutrino transformation with sinusoidal density profiles. United States: N. p., 2013.
Web. doi:10.1088/0954-3899/40/5/055002.
Kneller, J. P., McLaughlin, G. C., & Patton, K. M. Stimulated neutrino transformation with sinusoidal density profiles. United States. https://doi.org/10.1088/0954-3899/40/5/055002
Kneller, J. P., McLaughlin, G. C., and Patton, K. M. Thu .
"Stimulated neutrino transformation with sinusoidal density profiles". United States. https://doi.org/10.1088/0954-3899/40/5/055002. https://www.osti.gov/servlets/purl/1327857.
@article{osti_1327857,
title = {Stimulated neutrino transformation with sinusoidal density profiles},
author = {Kneller, J. P. and McLaughlin, G. C. and Patton, K. M.},
abstractNote = {Large amplitude oscillations between the states of a quantum system can be stimulated by sinusoidal external potentials with frequencies that are similar to the energy level splitting of the states or a fraction thereof. Situations where the applied frequency is equal to an integer fraction of the energy level splittings are known as parametric resonances. We investigate this effect for neutrinos both analytically and numerically for the case of arbitrary numbers of neutrino flavors. We look for environments where the effect may be observed and find that supernovae are the one realistic possibility due to the necessity of both large densities and large amplitude fluctuations. In conclusion, the comparison of numerical and analytical results of neutrino propagation through a model supernova reveals that it is possible to predict the locations and strengths of the stimulated transitions that occur.},
doi = {10.1088/0954-3899/40/5/055002},
journal = {Journal of Physics. G, Nuclear and Particle Physics},
number = 5,
volume = 40,
place = {United States},
year = {Thu Mar 28 00:00:00 EDT 2013},
month = {Thu Mar 28 00:00:00 EDT 2013}
}
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Works referencing / citing this record:
Neutrino flavour evolution through fluctuating matter
journal, March 2018
- Yang, Y.; Kneller, J. P.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 45, Issue 4
Damping the neutrino flavor pendulum by breaking homogeneity
text, January 2014
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Neutrino Flavour Evolution Through Fluctuating Matter
text, January 2015
- Yang, Yue; Kneller, James P.
- arXiv