Matter Effects on Neutrino Oscillations in Different Supernova Models

• Published in: Communications in theoretical physics 2016-04, Vol.65 (4), p.506-516, Article 506
• Main Author: 徐晶 胡立军 李瑞成 郭新恒 杨炳麟
• Format: Article
• Language: English
• Subjects: Computer simulation; Density; Mathematical models; Neutrinos; Oscillations; Schroedinger equation; Shock waves; Supernovae; 中微子振荡; 冲击波; 密度分布; 模型模拟; 爆炸模拟; 物质; 薛定谔方程; 超新星
• ISSN: 0253-6102; 1572-9494
• DOI: 10.1088/0253-6102/65/4/506

In recent years,with the development of simulations about supernova explosion,we have a better understanding about the density profiles and the shock waves in supernovae than before.There might be a reverse shock wave,another sudden change of density except the forward shock wave,or even no shock wave,emerging in the supernova.Instead of using the expression of the crossing probability at the high resonance,PH,we have studied the matter effects on neutrino oscillations in different supernova models.In detail,we have calculated the survival probability of νe（P_s）and the conversion probability of ν_x（P_c） in the Schrodinger equation within a simplified two-flavor framework for a certain case,in which the neutrino transfers through the supernova matter from an initial flavor eigenstate located at the core of the supernova.Our calculations was based on the data of density in three different supernova models obtained from simulations.In our work,we do not steepen the density gradient around the border of the shock wave,which differs to what was done in most of the other simulations.It is found that the mass and the density distribution of the supernova do make a difference on the behavior of P_s and P_c.With the results of P_s and P_c,we can estimate the number of νe（and ν_x） remained in the beam after they go through the matter in the supernova.