Open AccessAnalytical approximation of neutrino distribution function in core-collapse supernova
Author(s) -
Alexandra Dobrynina,
E. Koptyaeva,
I. S. Ognev
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1690/1/012003
Subject(s) - neutrino , supernova , physics , type ii supernova , core (optical fiber) , gaussian , distribution function , function (biology) , astrophysics , parametric statistics , distribution (mathematics) , gaussian function , computational physics , nuclear physics , mathematical analysis , mathematics , quantum mechanics , statistics , optics , evolutionary biology , biology
Results of the numerical simulations of the neutrino angular distribution in core-collapse supernova were analyzed. As analysis shown, the neutrino angular distribution function can be approximated by a one-parametric Gaussian function. The proposed approximation describes about 90% of all neutrinos in the core-collapse supernova at times t ≳ 0.2 sec after a core bounce and relatively large distances from proto-neutron-star center. Therefore, it could be a good analytical approximation of the numerical data. At small values of time and distance an accuracy of this approximation significantly decreases.