Phys. Rev. Lett. 99, 092501 (2007) [4 pages]Ab Initio Study of 40Ca with an Importance-Truncated No-Core Shell ModelReceived 27 May 2007; published 29 August 2007 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 4He and 16O. Then, we present first converged calculations for the ground state of 40Ca within no-core model spaces including up to 16ℏΩ excitations using realistic low-momentum interactions. The scheme is universal and can be easily applied to other quantum many-body problems. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.092501
DOI:
10.1103/PhysRevLett.99.092501
PACS:
21.60.Cs, 21.30.Fe, 27.40.+z
See AlsoComment: D. J. Dean, G. Hagen, M. Hjorth-Jensen, T. Papenbrock, and A. Schwenk, Comment on “Ab initio Study of 40Ca with an Importance-Truncated No-Core Shell Model”, Phys. Rev. Lett. 101, 119201 (2008). Reply: R. Roth and P. Navrátil, Roth and Navrátil Reply:, Phys. Rev. Lett. 101, 119202 (2008). |
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