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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Table of Contents<br />

ix<br />

8. Neutrino Oscillations<br />

8.1 Introduction (280)<br />

8.2 Vacuum Oscillations (282)<br />

1. Equation of Motion <strong>for</strong> Mixed Neutrinos (282) ⋄ 2. Two-Flavor Oscillations<br />

(284) ⋄ 3. Distribution of Sources and Energies (287) ⋄ 4. Experimental<br />

Oscillation Searches (289) ⋄ 5. Atmospheric Neutrinos (290)<br />

8.3 Oscillations in Media (293)<br />

1. Dispersion Relation <strong>for</strong> Mixed Neutrinos (293) ⋄ 2. Oscillations in Homogeneous<br />

Media (296) ⋄ 3. Inhomogeneous Medium: Adiabatic Limit (297)<br />

⋄ 4. Inhomogeneous Medium: Analytic Results (299) ⋄ 5. The Triangle and<br />

the Bathtub (301) ⋄ 6. Neutrino Oscillations without Vacuum Mixing (303)<br />

8.4 Spin and Spin-Flavor Oscillations (304)<br />

1. Vacuum Spin Precession (304) ⋄ 2. Spin Precession in a Medium (306) ⋄<br />

3. Spin-Flavor Precession (306) ⋄ 4. Twisting Magnetic Fields (308)<br />

9. Oscillations of Trapped Neutrinos<br />

9.1 Introduction (310)<br />

9.2 Kinetic Equation <strong>for</strong> Oscillations and Collisions (313)<br />

1. Stodolsky’s Formula (313) ⋄ 2. Matrix of Densities (315) ⋄ 3. Free<br />

Evolution: Flavor Oscillations (316) ⋄ 4. Interaction with a Background<br />

Medium (317)<br />

9.3 Neutral-Current Interactions (320)<br />

1. Hamiltonian (320) ⋄ 2. Neutrino Refraction (321) ⋄ 3. Kinetic Terms (322)<br />

⋄ 4. Recovering Stodolsky’s Formula (324) ⋄ 5. Weak-Damping Limit (325)<br />

⋄ 6. Small Mixing Angle (328) ⋄ 7. Flavor Conversion by Neutral Currents<br />

(328)<br />

9.4 Charged-Current Interactions (329)<br />

1. Hamiltonian (329) ⋄ 2. Kinetic Terms (329) ⋄ 3. Weak-Damping<br />

Limit (330)<br />

9.5 Flavor Conversion in a SN Core (332)<br />

1. Rate Equation (332) ⋄ 2. Neutrino Interaction Rates (334) ⋄ 3. Time<br />

Scale <strong>for</strong> Flavor Conversion (335)<br />

9.6 Sterile Neutrinos and SN 1987A (338)<br />

10. Solar Neutrinos<br />

10.1 Introduction (341)<br />

10.2 Calculated Neutrino Spectrum (347)<br />

1. Individual Sources (347) ⋄ 2. Standard Solar Models (351) ⋄ 3. Uncertainties<br />

of Standard Neutrino Predictions (353)

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