Extrapolation method for the no-core shell model

H. Zhan; A. Nogga; B. R. Barrett; J. P. Vary; P. Navrátil

doi:10.1103/PhysRevC.69.034302

Extrapolation method for the no-core shell model

H. Zhan
, A. Nogga
, B. R. Barrett
, J. P. Vary
, P. Navrátil

Physics

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

Nuclear many-body calculations are computationally demanding. An estimate of their accuracy is often hampered by the limited amount of computational resources even on present-day supercomputers. We provide an extrapolation method based on perturbation theory, so that the binding energy of a large basis-space calculation can be estimated without diagonalizing the Hamiltonian in this space. The extrapolation method is tested for ³H and ⁶Li nuclei. It will extend our computational abilities significantly and allow for reliable error estimates.

Original language	English (US)
Article number	034302
Pages (from-to)	034302-1-034302-8
Journal	Physical Review C - Nuclear Physics
Volume	69
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevC.69.034302
State	Published - Mar 2004

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevC.69.034302

Cite this

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title = "Extrapolation method for the no-core shell model",

abstract = "Nuclear many-body calculations are computationally demanding. An estimate of their accuracy is often hampered by the limited amount of computational resources even on present-day supercomputers. We provide an extrapolation method based on perturbation theory, so that the binding energy of a large basis-space calculation can be estimated without diagonalizing the Hamiltonian in this space. The extrapolation method is tested for 3H and 6Li nuclei. It will extend our computational abilities significantly and allow for reliable error estimates.",

author = "H. Zhan and A. Nogga and Barrett, \{B. R.\} and Vary, \{J. P.\} and P. Navr{\'a}til",

note = "Funding Information: H.Z., A.N., and B.R.B. acknowledge partial support by NSF grant No. PHY0070858. J.P.V. acknowledges partial support by U.S. Department of energy Grant No. DE-FG-02 87ER40371. This work was partly performed under the auspices of the U.S. Department of Energy by the University of California, Lawrence Livermore National Laboratory under Contract No. W-7405-Eng-48. This research used resources of the National Energy Research Scientific Computing Center, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC03-76SF00098.",

year = "2004",

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doi = "10.1103/PhysRevC.69.034302",

language = "English (US)",

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AU - Nogga, A.

AU - Barrett, B. R.

AU - Vary, J. P.

AU - Navrátil, P.

N1 - Funding Information: H.Z., A.N., and B.R.B. acknowledge partial support by NSF grant No. PHY0070858. J.P.V. acknowledges partial support by U.S. Department of energy Grant No. DE-FG-02 87ER40371. This work was partly performed under the auspices of the U.S. Department of Energy by the University of California, Lawrence Livermore National Laboratory under Contract No. W-7405-Eng-48. This research used resources of the National Energy Research Scientific Computing Center, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC03-76SF00098.

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N2 - Nuclear many-body calculations are computationally demanding. An estimate of their accuracy is often hampered by the limited amount of computational resources even on present-day supercomputers. We provide an extrapolation method based on perturbation theory, so that the binding energy of a large basis-space calculation can be estimated without diagonalizing the Hamiltonian in this space. The extrapolation method is tested for 3H and 6Li nuclei. It will extend our computational abilities significantly and allow for reliable error estimates.

AB - Nuclear many-body calculations are computationally demanding. An estimate of their accuracy is often hampered by the limited amount of computational resources even on present-day supercomputers. We provide an extrapolation method based on perturbation theory, so that the binding energy of a large basis-space calculation can be estimated without diagonalizing the Hamiltonian in this space. The extrapolation method is tested for 3H and 6Li nuclei. It will extend our computational abilities significantly and allow for reliable error estimates.

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ER -

Extrapolation method for the no-core shell model

Abstract

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