skip to main content

DOE PAGESDOE PAGES

Title: The neutrino–neutrino interaction effects in supernovae: The point of view from the ‘matter’ basis

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-neutrinomore » interaction contributions and the vacuum terms.« less
Authors:
 [1] ;  [2] ;  [1]
  1. CNRS/IN2P3 and Univ. of Paris-XI (France)
  2. North Carolina State Univ., Raleigh, NC (United States)
Publication Date:
Grant/Contract Number:
SC0006417
Type:
Accepted Manuscript
Journal Name:
Journal of Physics. G, Nuclear and Particle Physics
Additional Journal Information:
Journal Volume: 39; Journal Issue: 3; Journal ID: ISSN 0954-3899
Publisher:
IOP Publishing
Research Org:
North Carolina State Univ., Raleigh, NC (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS neutrino; flavor transformation
OSTI Identifier:
1327858
Alternate Identifier(s):
OSTI ID: 1327858