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

Journal Article · · Physical Review Letters
;  [1]
  1. Institut fuer Kernphysik, TU Darmstadt, Schlossgartenstr. 9, 64289 Darmstadt (Germany)

We propose an importance truncation scheme for no-core shell model or configuration interaction approaches, 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 first converged calculations for the ground state of {sup 40}Ca within no-core model spaces including up to 16({Dirac_h}/2{pi}){omega} excitations using realistic low-momentum interactions. The scheme is universal and can be easily applied to other quantum many-body problems.

OSTI ID:
21028176
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 99; ISSN 0031-9007; ISSN PRLTAO
Country of Publication:
United States
Language:
English

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