1993/10/31 by Y. Alhassid, D. J. Dean, S. E. Koonin +3 · 4 citations
Mathematics · Physics and Astronomy · #Basis (linear algebra) #Combinatorics #Extrapolation #Geometry #Mathematical analysis #Mathematics #Monte Carlo method #Nuclear physics research studies #Physics #Physics of Superconductivity and Magnetism #Sign (mathematics) #Statistical physics #Statistics #Superconductivity in MgB2 and Alloys #hep-lat #nucl-th
paper · pdf · doi:10.1103/physrevlett.72.613
published as Phys.Rev.Lett.72:613-616,1994 · 11 pages + 2 figures (not included)
arxiv created 1993/12/22 · openalex publication_date 1994/01/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a practical solution to the ``sign problem'' in the auxiliary field Monte Carlo approach to the nuclear shell model. The method is based on extrapolation from a continuous family of problem-free Hamiltonians. To demonstrate the resultant ability to treat large shell-model problems, we present results for the 54Fe in the full fp-shell basis using the Brown-Richter interaction. We find the Gamow-Teller \mathrm\ensuremathβ+ strength to be quenched by 58% relative to the single-particle estimate, in better agreement with experiment than previous estimates based on truncated bases.