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Phys. Rev. C 77, 054301 (2008) [12 pages]

New efficient method for performing Hartree-Fock-Bogoliubov calculations for weakly bound nuclei

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M. Stoitsov
Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan,
Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA,
Physics Division, Oak Ridge National Laboratory, P. O. Box 2008, Oak Ridge, Tennessee 37831, USA, and
Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia-1784, Bulgaria

N. Michel* and K. Matsuyanagi
Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan

Received 10 September 2007; published 1 May 2008

We propose a new method to solve the Hartree-Fock-Bogoliubov equations for weakly bound nuclei, which works for both spherical and axially deformed cases. In this approach, the quasiparticle wave functions are expanded in a complete set of analytical Pöschl-Teller-Ginocchio and Bessel/Coulomb wave functions. Correct asymptotic properties of the quasiparticle wave functions are endowed in the proposed algorithm. Good agreement is obtained with the results of the Hartree-Fock-Bogoliubov calculation using box boundary condition for a set of benchmark spherical and deformed nuclei.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.77.054301
DOI:
10.1103/PhysRevC.77.054301
PACS:
21.60.Jz, 03.65.Ge, 21.10.Dr, 21.10.Gv

*nicolas-l.michel@cea.fr