Thermal enhancement of the pyncnonuclear rates in dense stellar matter

Computer Science – Numerical Analysis

Scientific paper

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Augmentation, Nuclear Reactions, Schroedinger Equation, Temperature Effects, White Dwarf Stars, Eigenvalues, Numerical Analysis, Reaction Kinetics

Scientific paper

Through a numerical solution to the Schroedinger equation for scattering between nearest-neighbor nuclei in the lattice potential, the thermal enhancement factor of the pycnonuclear rates was newly evaluated for the entire density-temperature domain of Coulomb solids; a huge enhancement is predicted to exist near to the melting transitions. It was consequently proven that the total reaction rates in the solids with such an enhancement factor may join continuously into those in the fluids across the thermal melting lines.

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