Ab Initio Study of 40Ca with an Importance Truncated No-Core Shell Model

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We propose an importance truncation scheme for the no-core shell model, which enables converged calculations for nuclei well beyond the p-shell. It is based on an a priori measure for the importance of individual basis states constructed by means of many-body perturbation theory. Only the physically relevant states of the no-core model space are considered, which leads to a dramatic reduction of the basis dimension. We analyze the validity and efficiency of this truncation scheme using different realistic nucleon-nucleon interactions and compare to conventional no-core shell model calculations for {sup 4}He and {sup 16}O. Then, we present the first converged ... continued below

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6 p. (0.2 MB)

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Roth, R & Navratil, P May 22, 2007.

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We propose an importance truncation scheme for the no-core shell model, which enables converged calculations for nuclei well beyond the p-shell. It is based on an a priori measure for the importance of individual basis states constructed by means of many-body perturbation theory. Only the physically relevant states of the no-core model space are considered, which leads to a dramatic reduction of the basis dimension. We analyze the validity and efficiency of this truncation scheme using different realistic nucleon-nucleon interactions and compare to conventional no-core shell model calculations for {sup 4}He and {sup 16}O. Then, we present the first converged calculations for the ground state of {sup 40}Ca within no-core model spaces including up to 16{h_bar}{Omega}-excitations using realistic low-momentum interactions. The scheme is universal and can be easily applied to other quantum many-body problems.

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6 p. (0.2 MB)

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PDF-file: 6 pages; size: 0.2 Mbytes

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  • Journal Name: Physical Review Letters, vol. 99, N/A, August 29, 2007, pp. 092501; Journal Volume: 99

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  • Report No.: UCRL-JRNL-231224
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 942023
  • Archival Resource Key: ark:/67531/metadc896877

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  • May 22, 2007

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  • Sept. 27, 2016, 1:39 a.m.

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  • April 17, 2017, 12:10 p.m.

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Roth, R & Navratil, P. Ab Initio Study of 40Ca with an Importance Truncated No-Core Shell Model, article, May 22, 2007; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc896877/: accessed September 25, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.