TY  - JOUR
AU  - Volpe, C.
AU  - Vaananen, D.
AU  - Espinoza, C.
PY  - 2013
DA  - 2013//
TI  - Extended evolution equations for neutrino propagation in astrophysical and cosmological environments
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 113010
EP  - 17pp
VL  - 87
IS  - 11
PB  - Amer Physical Soc
AB  - We derive the evolution equations for a system of neutrinos interacting among themselves and with a matter background, based upon the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy. This theoretical framework gives an (unclosed) set of first-order coupled integro-differential equations governing the evolution of the reduced density matrices. By employing the hierarchy, we first rederive the mean-field evolution equations for the neutrino one-body density matrix associated with a system of neutrinos and antineutrinos interacting with matter and with an anisotropic neutrino background. Then, we derive extended evolution equations to determine neutrino flavor conversion beyond the commonly used mean-field approximation. To this aim we include neutrino-antineutrino pairing correlations to the two-body density matrix. The inclusion of these new contributions leads to an extended evolution equation for the normal neutrino density and to an equation for the abnormal one involving the pairing mean field. We discuss the possible impact of neutrino-antineutrino correlations on neutrino flavor conversion in the astrophysical and cosmological environments, and possibly upon the supernova dynamics. Our results can be easily generalized to an arbitrary number of neutrino families.
SN  - 1550-7998
UR  - http://arxiv.org/abs/1302.2374
UR  - https://doi.org/10.1103/PhysRevD.87.113010
DO  - 10.1103/PhysRevD.87.113010
LA  - English
N1  - WOS:000320951500001
ID  - Volpe_etal2013
ER  -