A solvable model of fusion rates in dense stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Nuclear Fusion, Space Density, Stellar Models, Strongly Coupled Plasmas, White Dwarf Stars, Astronomical Models, Neutron Stars, Nuclear Astrophysics

Scientific paper

Fusion rates in very dense matter are significantly enhanced by many-body effects. A solvable model is used to investigate the theoretical foundations of the current methods for calculating the enhancement factor. The model consists of a one-component plasma in one dimension with nearest-neighbor Coulomb interactions. The model results are not intended to replace previous calculations, but they show that fusion rates under white dwarf conditions may be underestimated. In the model it is found that the fusion rate can be badly estimated by using the classical mean potential as an effective repulsive barrier.

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