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 (3)

• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Global microscopic calculations of ground-state spin and parity for odd-mass nuclei
• Generalized Wick's theorem for multiquasiparticle overlaps as a limit of Gaudin's theorem