Extension of time-dependent Hartree-Fock-Bogoliubov equations

Mitsuru Tohyama and Peter Schuck
Phys. Rev. C 91, 034316 – Published 13 March 2015

Abstract

An extension of the time-dependent Hartree-Fock-Bogoliubov theory (ETDHFB) which includes higher-order effects such as screening of the pairing correlation is proposed. ETDHFB is applied to a pairing model and a fermion system trapped in a harmonic potential to test its feasibility by comparison with exact solutions. With the use of perturbative expressions for the pairing tensor and the two-body density matrix derived from ETDHFB, the screening effect is investigated for atomic fermion systems and isotopes of tin nuclei. It is found that the screening effect on the pairing correlation is not significant.

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  • Received 13 November 2014
  • Revised 18 February 2015

DOI:https://doi.org/10.1103/PhysRevC.91.034316

©2015 American Physical Society

Authors & Affiliations

Mitsuru Tohyama

  • Kyorin University School of Medicine, Mitaka, Tokyo 181-8611, Japan

Peter Schuck

  • Institut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, F-91406 Orsay Cedex, France and Laboratoire de Physique et de Modélisation des Milieux Condensés, CNRS et, Université Joseph Fourier, 25 Avenue des Martyrs, BP 166, F-38042 Grenoble Cedex 9, France

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Issue

Vol. 91, Iss. 3 — March 2015

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