Applicability of self-consistent mean-field theory

Journal Article · Tue Feb 01 00:00:00 EST 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.71.024315· OSTI ID:20695942

Lu, Guo ^[1]; Sakata, Fumihiko ^[2]; Enguang, Zhao ^[3]

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1. Department of Mathematical Science, Ibaraki University, Mito 310-8512, Ibaraki (Japan)
2. Institute of Applied Beam Science, Graduate School of Science and Engineering, Ibaraki University, Mito 310-8512, Ibaraki (Japan)
3. Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080 (China)

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.

• OSTI ID: 20695942
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 71, Issue 2; Other Information: DOI: 10.1103/PhysRevC.71.024315; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ENERGY LEVELS
FLUCTUATIONS
HARTREE-FOCK METHOD
ITERATIVE METHODS
MEAN-FIELD THEORY
NUCLEAR DEFORMATION
NUCLEAR FORCES
QUADRUPOLES
QUANTUM FIELD THEORY
RESIDUAL INTERACTIONS
TWO-BODY PROBLEM