Sensitivity to temperature of nuclear energy generation by hydrogen burning

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Hydrogen, Nuclear Fusion, Proton-Proton Reactions, Stellar Evolution, Temperature Effects, Transmutation, Abundance, Astrophysics, Helium Isotopes, Reaction Kinetics, Sensitivity, Temperature Dependence, Thermodynamic Equilibrium

Scientific paper

The temperature sensitivity of nuclear energy generation by the p-p chain and the CN cycle is investigated. Expressions for the dependence of the p-p chain and the CN cycle separately on temperature as a function of element abundances and with abundance equilibration and temperature variation time scales taken into account are derived. The sensitivity to temperature of nuclear energy generation by hydrogen burning is then obtained by the combination of the p-p chain and the CNO cycle sensitivities according to their respective energies produced. It is found that until He-3 comes into equilibrium, the sensitivity of the p-p chain is considerably different from that of the p-p reaction, and subsequently also differs significantly unless the PP I chain dominates energy release. The variation of CN energy generation sensitivities is found to be much smaller than that of the p-p chain. The combined sensitivity is found to have a maximum of 16.4 at a temperature of 24,500,000 and to be given by that of the N-14 + p reaction at temperatures greater than 25,000,000.

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