Microscopic justification of the Equal Filling approximation

Abstract

The Equal Filling Approximation, a procedure widely used in mean field calculations to treat the dynamics of odd nuclei in a time reversal invariant way, is justified as the consequence of a variational principle over an average energy functional. The ideas of Statistical Quantum Mechanics are employed in the justification. As an illustration of the method, the ground and lowest lying states of some octupole deformed Radium isotopes are computed.

15 pages, 3 figures

References in corpus (7)

• Pairing correlations. Part 1: description of odd nuclei in mean-field theories
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Shape and blocking effects on odd-even mass differences and rotational motion of nuclei
• Global microscopic calculations of ground-state spin and parity for odd-mass nuclei
• Thermal shape fluctuation effects in the description of hot nuclei
• Pairing Gap and Polarisation Effects
• Generalized Wick's theorem for multiquasiparticle overlaps as a limit of Gaudin's theorem

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