Microscopic Nuclear Level Densities by the Shell Model Monte Carlo Method

Physics

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Scientific paper

We have used quantum Monte Carlo methods to calculate microscopically level densities in large model spaces within the framework of the interacting shell model. Calculated densities for A ~ 50 - 70 nuclei are in remarkably good agreement with experimental level densities and an improvement over empirical formulas. Nevertheless, current Monte Carlo calculations are limited to temperatures below ~ 1.5 - 2 MeV. We have recently introduced a framework that accounts for the full single-particle model space (bound states plus continuum) together with interaction effects in the truncated space. We find that the backshifted Bethe formula is valid in a larger temperature range (i.e., up to ~ 4 MeV). A signature of the pairing phase transition is clearly seen in the heat capacity of even-even nuclei.

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