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Phys. Rev. C 78, 014318 (2008) [10 pages]

Broyden's method in nuclear structure calculations

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Andrzej Baran1,2,3, Aurel Bulgac4, Michael McNeil Forbes4, Gaute Hagen2, Witold Nazarewicz1,2,5,6, Nicolas Schunck1,2, and Mario V. Stoitsov1,2,7
1Department of Physics & Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
2Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, USA
3Institute of Physics, University of M. Curie-Sklodowska, ul. Radziszewskiego 10, 20-031 Lublin, Poland
4Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA
5Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, 00-681 Warsaw, Poland
6School of Engineering and Science, University of the West of Scotland, Paisley PA1 2BE, United Kingdom
7Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

Received 28 May 2008; published 24 July 2008

Broyden's method, widely used in quantum chemistry electronic-structure calculations for the numerical solution of nonlinear equations in many variables, is applied in the context of the nuclear many-body problem. Examples include the unitary gas problem, the nuclear density functional theory with Skyrme functionals, and the nuclear coupled-cluster theory. The stability of the method, its ease of use, and its rapid convergence rates make Broyden's method a tool of choice for large-scale nuclear structure calculations.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.78.014318
DOI:
10.1103/PhysRevC.78.014318
PACS:
21.10.Dr, 21.60.Jz, 21.60.De, 71.15.Mb
 
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