Error estimates in importance truncated nuclear structure calculations

ORAL

Abstract

The importance truncation procedure, used in both quantum chemistry and now in nuclear structure calculations, has led to the possibility of doing large scale many-body calculations, without the need to use all the millions (possibly billions) of basis states present. Once the calculations are done in a truncated basis, an extrapolation on the energy is made, in order to recover the full model space calculation. However, these extrapolations have recently come into question as to their reliability. In this talk I will show some truncated nuclear structure calculations, which I then compare to the exact calculations. I will also discuss the many-body implications of working in this particular truncated model space, specifically, the question of size-extensivity.

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Authors

  • Michael Kruse

    University of Arizona

  • Young-Yeal Song

    Brigham Young University, Colorado School of Mines, Colorado State University, Yale University, Department of Physics and Astronomy, Brigham Young University, Department of Mechanical Engineering, University of Utah, JILA, NIST and University of Colorado, University of Arizona, MIT, National Institute for Materials Science, Japan, Department of Mechanical Engineering, Brigham Young University, University of New Mexico, Iowa State University, Los Alamos National Lab XCP-2, Utah State University, Weber State University, New Mexico State University, College of Optical Science, University of Arizona, University of Nebraska, Lincoln, J.A. Woollam Co., U.S. Naval Research Laboratory, Arizona State University, BYU Nuclear Physics Group, Brigham Young University Physics and Astronomy, Los Alamos National Laboratory, University of Tsukuba, Japan, Colorado State University, NSF ERC for EUV science and technology, Center for Functional Nanomaterials, Brookhaven National Laboratory, University of Wisconsin, Madison, Utah Valley University, Argonne National Lab