On the non-unitarity of the Bogoliubov transformation due to the quasiparticle space truncation

J. Dobaczewski; P. J. Borycki; W. Nazarewicz; M. Stoitsov

doi:10.1140/epjad/i2005-06-151-8

EPJ

On the non-unitarity of the Bogoliubov transformation due to the quasiparticle space truncation

J. Dobaczewski¹^,2^,3^,4, P. J. Borycki²^,5, W. Nazarewicz¹^,2^,4 and M. Stoitsov²^,3^,4^,6

¹ Institute of Theoretical Physics, University of Warsaw, ul. Hoża 69, PL 00681, Warsaw, Poland
² Department of Physics, University of Tennessee, TN 37996, Knoxville, USA
³ Joint Institute for Heavy Ion Research, TN 37831, Oak Ridge, USA
⁴ Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, TN 37831, Oak Ridge, USA
⁵ Institute of Physics, Warsaw University of Technology, ul. Koszykowa 75, PL 00662, Warsaw, Poland
⁶ Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Science, 1784, Sofia, Bulgaria

Received: 18 January 2005
Accepted: 19 March 2005
Published online: 11 August 2005

Abstract

We show that due to the energy cutoff in the Hartree-Fock-Bogoliubov quasiparticle space, the Bogoliubov transformation becomes non-unitary. We propose a method of restoring the unitarity by introducing a truncated single-particle Hilbert space, in which the HFB equations are to be solved.

PACS: 21.30.Fe Forces in hadronic systems and effective interactions – / 21.60.Jz Hartree-Fock and random-phase approximations – / 24.30.Cz Giant resonances –

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EPJ

On the non-unitarity of the Bogoliubov transformation due to the quasiparticle space truncation

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