Emission angle distribution and flavor transformation of supernova neutrinos

TL;DR

This paper uses moment equations to analyze how supernova neutrinos change flavor collectively, focusing on emission angle effects and the scaling of self-interaction strength, with findings on convergence and model dependence.

Contribution

It introduces a detailed analysis of emission angle distribution effects on supernova neutrino flavor transformation using moment equations, highlighting convergence and scaling laws.

Findings

Few-moment numerical convergence is rapid.

Emission angle distribution influences neutrino self-interaction amplitude.

Neutrino oscillation depends on emission angle distribution models.

Abstract

Using moment equations we analyze collective flavor transformation of supernova neutrinos. We study the convergence of moment equations and find that numerical results using a few moment converge quite fast. We study effects of emission angle distribution of neutrinos on neutrino sphere. We study scaling law of the amplitude of neutrino self-interaction Hamiltonian and find that it depends on model of emission angle distribution of neutrinos. Dependence of neutrino oscillation on different models of emission angle distribution is studied.