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The Solar Neutrino Problem

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Introduction Experiment and their results Conclusion<br />

<strong>Neutrino</strong> Oscillations<br />

Matter effects<br />

Assume two types of neutrinos. Equation of motion:<br />

i d dt |ν〉 = 1 (<br />

−<br />

∆m 2<br />

2 H |ν〉 with H = 4E cos 2θ )<br />

∆m 2<br />

4E<br />

sin 2θ<br />

∆m 2<br />

4E sin 2θ ∆m 2<br />

4E cos 2θ<br />

But: matter changes Hamiltonian<br />

(<br />

−<br />

∆m 2<br />

H = 4E cos 2θ + √ )<br />

∆m<br />

2G F N 2<br />

e 4E<br />

sin 2θ<br />

∆m 2<br />

4E sin 2θ ∆m 2<br />

4E cos 2θ<br />

⇒ resonances, Mikheev-Smirnov-Wolfenstein (MSW) effect<br />

⇒ Day/night asymmetry<br />

Martin Lahrz<br />

<strong>Solar</strong> <strong>Neutrino</strong> <strong>Problem</strong>

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