Applicability of self-consistent mean-field theory

Details Applicability of self-consistent mean-field theory Applicability of self-consistent mean-field theory

2004-08-20

arxiv.org/abs/nucl-th/0408050v3

Phys.Rev. C71 (2005) 024315

Physics

Nuclear Physics

Nuclear Theory

11 pages, 8 figures

Scientific paper

10.1103/PhysRevC.71.024315

Within the constrained Hartree-Fock (CHF) theory, an analytic condition is derived to estimate whether a concept of the self-consistent mean field is realized or not in level repulsive region. The derived condition states that an iterative calculation of CHF equation does not converge when the quantum fluctuations coming from two-body residual interaction and quadrupole deformation become larger than a single-particle energy difference between two avoided crossing orbits. By means of the numerical calculation, it is shown that the analytic condition works well for a realistic case.

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