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Importance Truncated No Core Shell Model

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Extensions to the No-Core Shell Model

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Abstract

The NCSM has been very successful at describing light nuclei (\(A \le 6\)), and in some cases, has also been able to describe nuclei in the middle of the p-shell (see [1] for an extensive list of results). However, NCSM calculations in the middle or in the upper part of the p-shell (\(A \ge 10\)) become very difficult to perform. Currently, interesting nuclei such as the Carbon or Oxygen isotopes are beyond the capabilities of the NCSM. To extend our calculations to the start of the sd-shell, is an even more challenging task. It is possible to do some exploratory calculations for the start of the sd-shell, in which \(N_\mathrm{max}\le 4\), but fully converged results will be out of reach for many years. We remind the reader that by fully converged results, we mean calculations which are free of the two NCSM parameters (\(N_\mathrm{max}\) and \(\hbar \Omega \)).

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Notes

  1. 1.

    These were done by Alexander Lisetskiy in 2007 but were never published.

  2. 2.

    This point was expressed both by Pieter Maris and Robert Roth at the workshop on Perspectives on the NCSM 2012.

  3. 3.

    Only the MFDn code can efficiently handle basis dimensions over one billion states.

  4. 4.

    The review article of [9] has a good discussion on the issues of size-extensivity.

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  1. Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, CA, 94550, USA

    Michael Karl Gerhard Kruse

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Kruse, M.K.G. (2013). Importance Truncated No Core Shell Model. In: Extensions to the No-Core Shell Model. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01393-0_3

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