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Chapter 9 The Main Sequence
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Four fundamental forces of nature
All four forces have to do with the Sun
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Hydrostatic equilibrium: negative feedback loop
If core T drops, fusion rate drops, core contracts heats up If core heats up, fusion rate rises core expands cools down
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Main sequence stars are modeled as concentric spherical shells in hydrostatic equilibrium
Mass element dm Constant density Inward force = outward force
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Binding energy holds a nucleus together: BE = total mass of each individual nucleon - mass of nucleus
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The Coulomb barrier: 1 in 1085 particles has the energy to cross it
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Wave function Probability distribution
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Quantum tunneling
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energy region where the reaction is more likely to take place
Gamow Peak: energy region where the reaction is more likely to take place Can’t tunnel through Coulomb barrier From The Gamow peak is the product of the Maxwell-Boltzmann distribution with the tunnelling probability of the nuclei through their Coulomb barrier. This is the energy region where the reaction is more likely to take place: at higher energies, the number of particles becomes insignificant while at lower energies the tunnelling through the Coulomb barrier makes the reaction improbable. The dimension of the Maxwell-Boltzmann distribution and of the Gamow peak is keV-1, while the tunnelling probability is dimensionless. Few particles
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Another view of Gamow peak
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One of 3 branches of proton-proton chain
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CNO cycle: C, N O atoms act as catalysts
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T-dependence of pp chain and CNO cycle
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Solar neutrino problem:
Early searches for solar neutrinos only found ~1/3 the expected number of neutrinos
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Solar neutrino problem:
Early searches for solar neutrinos only found ~1/3 the expected number of neutrinos Neutrinos apparently can change form. According to nuclear physics theory, this means they must have mass! “flavor oscillation”
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Super-Kamiokande in Japan.
1 km underground (in a mine) 11,000 light-detectors in/around a pool of water Neutrino can (rarely) interact with a proton A particle is produced that moves faster than the speed of light in water Causes an optical “sonic boom”
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