Recent Developments in No-Core Shell-Model Calculations

Navratil, P; Quaglioni, S; Stetcu, I; Barrett, B R

doi:10.1088/0954-3899/36/8/083101

Title: Recent Developments in No-Core Shell-Model Calculations

Journal Article · Fri Mar 20 00:00:00 EDT 2009 · Journal of Physics. G, Nuclear and Particle Physics

DOI:https://doi.org/10.1088/0954-3899/36/8/083101· OSTI ID:957622

Navratil, P; Quaglioni, S; Stetcu, I; Barrett, B R

We present an overview of recent results and developments of the no-core shell model (NCSM), an ab initio approach to the nuclear many-body problem for light nuclei. In this aproach, we start from realistic two-nucleon or two- plus three-nucleon interactions. Many-body calculations are performed using a finite harmonic-oscillator (HO) basis. To facilitate convergence for realistic inter-nucleon interactions that generate strong short-range correlations, we derive effective interactions by unitary transformations that are tailored to the HO basis truncation. For soft realistic interactions this might not be necessary. If that is the case, the NCSM calculations are variational. In either case, the ab initio NCSM preserves translational invariance of the nuclear many-body problem. In this review, we, in particular, highlight results obtained with the chiral two- plus three-nucleon interactions. We discuss efforts to extend the applicability of the NCSM to heavier nuclei and larger model spaces using importance-truncation schemes and/or use of effective interactions with a core. We outline an extension of the ab initio NCSM to the description of nuclear reactions by the resonating group method technique. A future direction of the approach, the ab initio NCSM with continuum, which will provide a complete description of nuclei as open systems with coupling of bound and continuum states is given in the concluding part of the review.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: W-7405-ENG-48

OSTI ID:: 957622

Report Number(s):: LLNL-JRNL-411567; JPGPED; TRN: US1005585

Journal Information:: Journal of Physics. G, Nuclear and Particle Physics, Vol. 36; ISSN 0954-3899

Country of Publication:: United States

Language:: English

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