Applicability of self-consistent mean-field theory

Applicability of self-consistent mean-field theory
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DOI:
10.1103/physrevc.71.024315
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发表时间:
2004-08
期刊:
影响因子:
3.1
通讯作者:
Lu Guo;F. Sakata;E. Zhao
Lu Guo;F. Sakata;E. Zhao
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Lu Guo;F. Sakata;E. Zhao

文献摘要

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在约束Hartree-Fock(CHF)理论中,导出了一个分析条件,以估计自洽平均场的概念是否在水平排斥区实现。导出的条件指出,CHF方程的迭代计算不收敛时,量子涨落来自两体剩余相互作用和四极形变变得大于两个避免交叉轨道之间的单粒子能量差。通过数值计算表明,该解析条件对实际情况是适用的。
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 in the level repulsive region. The derived condition states that an iterative calculation of the 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 numerical calculation, it is shown that the analytic condition works well for a realistic case.