Hartree-Fock-Bogoliubov Theory of Polarized Fermi Systems

Journal Article · Thu Jan 01 04:00:00 EST 2009 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.79.043602· OSTI ID:951923

Bertsch, George ^[1]; Dobaczewski, J. ^[2]; Nazarewicz, Witold ^[3]; Pei, Junchen ^[3]

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1. University of Washington
2. Warsaw University
3. ORNL

Condensed Fermi systems with an odd number of particles can be described by means of polarizing external fields having a time-odd character. We illustrate how this works for Fermi gases and atomic nuclei treated by density functional theory or Hartree-Fock-Bogoliubov (HFB) theory. We demonstrate that by introducing two chemical potentials for different superfluid components, one can change the particle-number parity of the underlying quasiparticle vacuum. Formally, this method is a variant of non-collective cranking, and the procedure is equivalent to the so-called blocking. Relations between the two chemical potential methods and the cranking approximation for Fermi gases and nuclei are discussed.

• Research Organization: Oak Ridge National Laboratory (ORNL); Holifield Radioactive Ion Beam Facility
• Sponsoring Organization: SC USDOE - Office of Science (SC)
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 951923
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 79; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
FUNCTIONALS
GASES
NUCLEI
PARITY