Sensitivity analysis of random two-body interactions

Calvin W. Johnson and Plamen G. Krastev
Phys. Rev. C 81, 054303 – Published 10 May 2010

Abstract

The input to the configuration-interaction shell model includes many dozens or hundreds of independent two-body matrix elements. Previous studies have shown that when fitting to experimental low-lying spectra, the greatest sensitivity is to only a few linear combinations of matrix elements. Here we consider interactions drawn from the two-body random ensemble and find that the low-lying spectra are also most sensitive to only a few linear combinations of two-body matrix elements, in a fashion nearly indistinguishable from an interaction empirically fit to data. We find in particular the spectra for both random and empirical interactions are sensitive to similar matrix elements, which we analyze using monopole and contact interactions.

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  • Received 11 February 2010

DOI:https://doi.org/10.1103/PhysRevC.81.054303

©2010 American Physical Society

Authors & Affiliations

Calvin W. Johnson1 and Plamen G. Krastev1,2

  • 1Department of Physics, San Diego State University, 5500 Campanile Drive, San Diego, California 92182-1233, USA
  • 2Lawrence Livermore National Laboratory, Post Office Box 808, L-414, Livermore, California 94551, USA

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Issue

Vol. 81, Iss. 5 — May 2010

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