Hartree-Fock-Bogoliubov theory of polarized Fermi systems

George Bertsch, Jacek Dobaczewski, Witold Nazarewicz, and Junchen Pei
Phys. Rev. A 79, 043602 – Published 2 April 2009

Abstract

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 theory. We discuss the method based on introducing two chemical potentials for different superfluid components, whereby one may change the particle-number parity of the underlying quasiparticle vacuum. Formally, this method is a variant of noncollective cranking, and the procedure is equivalent to the so-called blocking. We present and exemplify relations between the two-chemical-potential method and the cranking approximation for Fermi gases and nuclei.

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  • Received 5 August 2008

DOI:https://doi.org/10.1103/PhysRevA.79.043602

©2009 American Physical Society

Authors & Affiliations

George Bertsch1, Jacek Dobaczewski2,3, Witold Nazarewicz2,4,5, and Junchen Pei4,5,6

  • 1Department of Physics and Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1560, USA
  • 2Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, 00-681 Warsaw, Poland
  • 3Department of Physics, University of Jyväskylä, P.O. Box 35 (YFL) FI-40014, Finland
  • 4Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
  • 5Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, USA
  • 6Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA

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Issue

Vol. 79, Iss. 4 — April 2009

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