我們計算了在太陽與超新星微中子受到暗物質的米赫耶夫-斯米爾夫-沃芬斯坦效應。然而，若暗物質不會自我湮滅，例如，不對稱暗物質，才會有足夠大的效應。從太陽微中子觀測實驗的數據，在暗物質質量小於四十百萬電子伏特的範圍，我們得到一個很強的對於微中子與暗物質之間作用力大小的限制條件。在核塌陷超新星中，我們發現只有在超新星的位置很靠近銀河系中心或暗物質與微中子作用力夠強才有機會偵測到這個額外的效應。

We studied the dark matter induced Mikheyev-Smirnov-Wolfenstein eect on neutrino oscillations in the Sun and the core-collapse supernovae. However, to have sizable eect, we found that the dark matter cannot self-annihilate, for instance, the asymmetric dark matter. From the solar neutrino data, we found strong constraint on the interaction between dark matter and neutrino for asymmetric dark matter with mass less than 40 GeV. For supernovae, we found that the additional eect would be detectable only if the supernova sits close to the Galactic center or the interaction between dark matter and neutrinos is strong enough.

Contents i
List of Tables iii
List of Figures vi
1 Introduction 1
2 Brief Review on Neutrino Oscillation 3
2.1 Neutrino Mass, Mixing, And PMNS Matrix . . . . . . . . . . . . . 3
2.2 Neutrino Oscillations in Vacuum.................... 4
2.3 Matter effect on neutrino oscillations ................. 6
2.3.1 Oscillations of solar neutrinos ................. 8
2.4 Experiments and Measurements.................... 9
2.4.1 Solar neutrino oscillations ................... 10
2.4.2 Atmospheric neutrino experiment ............... 11
2.4.3 Experiments of reactor..................... 11
2.4.4 Accelerator neutrino ...................... 11
2.4.5 Short summary ......................... 12
3 MSW Effect on Solar Neutrinos Through Accumulated Dark Matter 14
3.1 MSW Effect of Electrons........................ 14
3.2 Accumulation of Dark Matter in the Sun . . . . . . . . . . . . . . . 15
3.3 Distribution of Accumulated Dark Matter . . . . . . . . . . . . . . 20
3.4 Dark matter MSW Effect in the Sun ................. 21
4 MSW Effect on Neutrino Oscillations in Core-collapse Supernovae 30
4.1 Core-collapse Supernovae........................ 30
4.1.1 Sn1987A............................. 34
4.2 Accumulation of Dark Matter in Core-collapse Supernovae . . . . . 35
4.3 Dark Matter Density Distribution................... 38
4.4 Additional MSW Effect with DarkMatter . . . . . . . . . . . . . . 38
4.4.1 MSW effect of electron only .................. 41
4.4.2 Additional MSW effect of DM................. 44
5 Summary and Conclusion..............48
Reference.........49

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