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On the solution of the number-projected Hartree-Fock-Bogolyubov equations

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Abstract

The numerical solution of the recently formulated number-projected Hartree-Fock-Bogolyubov (HFB) equations is studied in an exactly solvable cranked-deformed shell-model Hamiltonian. It is found that the solution of these number-projected equations involves similar numerical effort as that of bare HFB. We consider that this is significant progress in the mean-field studies of quantum many-body systems. The results of the projected calculations are shown to be in almost complete agreement with the exact solutions of the model Hamiltonian. The phase transition obtained in the HFB theory as a function of the rotational frequency is shown to be smeared out with the projection.

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Authors and Affiliations

  1. Physik-Department, Technische Universität München, Germany

    J. A. Sheikh, E. Lopes & P. Ring

Authors
  1. J. A. Sheikh
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  2. E. Lopes
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  3. P. Ring
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Additional information

From Yadernaya Fizika, Vol. 64, No. 3, 2001, pp. 531–535.

Original English Text Copyright © 2001 by Sheikh, Lopes, Ring.

This article was submitted by the authors in English.

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Sheikh, J.A., Lopes, E. & Ring, P. On the solution of the number-projected Hartree-Fock-Bogolyubov equations. Phys. Atom. Nuclei 64, 477–481 (2001). https://doi.org/10.1134/1.1358472

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  • DOI: https://doi.org/10.1134/1.1358472

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