Nuclear structure calculations for astrophysical applications

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Energy Levels, Nuclear Models, Nuclear Structure, Wave Functions, Beta Particles, Fission, Ground State, Matrices (Mathematics), Potential Energy, Radioactive Decay, Saddle Points

Scientific paper

Here we present calculated results on such diverse properties as nuclear energy levels, ground-state masses and shapes, beta-decay properties, and fission-barrier heights. Our approach to these calculations is to use a unified theoretical framework within which the above properties can all be studied. The results are obtained in the macroscopic-microscopic approach in which a microscopic nuclear-structure single-particle model with extensions is combined with a macroscopic model, such as the liquid drop model. In this model, the total potential energy of the nucleus may be calculated as a function of shape. The maxima and minima in this function correspond to such features as the ground state, fission saddle points, and shape-isomeric states. Various transition rate matrix elements are determined from wave-functions calculated in the single-particle model with pairing and other relevant residual interactions taken into account.

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