Ab initio no core shell model

Bruce R Barrett, Petr Navrátil, James P. Vary

Research output: Contribution to journalArticle

275 Citations (Scopus)

Abstract

Motivated by limitations of the Bloch-Horowitz-Brandow perturbative approach to nuclear structure we have developed the non-perturbative ab initio no core shell model (NCSM) capable of solving the properties of nuclei exactly for arbitrary nucleon-nucleon (NN) and NN+ three-nucleon (NNN) interactions with exact preservation of all symmetries. We present the complete ab initio NCSM formalism and review highlights obtained with it since its inception. These highlights include the first ab initio nuclear-structure calculations utilizing chiral NNN interactions, which predict the correct low-lying spectrum for 10B and explain the anomalous long 14C β-decay lifetime. We also obtain the small quadrupole moment of 6Li. In addition to explaining long-standing nuclear structure anomalies, the ab initio NCSM provides a predictive framework for observables that are not yet measured or are not directly measurable. For example, reactions between short-lived systems and reaction rates near zero energy are relevant to fusion research but may not be known from experiment with sufficient precision. We, therefore, discuss, in detail, the extension of the ab initio NCSM to nuclear reactions and sketch a number of promising future directions for research emerging from the NCSM foundation, including a microscopic non-perturbative framework for the theory with a core. Having a parameter-free approach, we can construct systems with a core, which will provide an ab initio pathway to heavier nuclei.

Original languageEnglish (US)
Pages (from-to)131-181
Number of pages51
JournalProgress in Particle and Nuclear Physics
Volume69
Issue number1
DOIs
StatePublished - Mar 2013

Fingerprint

nuclear structure
heavy nuclei
nuclear reactions
emerging
reaction kinetics
fusion
quadrupoles
interactions
anomalies
formalism
moments
life (durability)
nuclei
symmetry
decay
energy

Keywords

  • Nuclei
  • Potentials
  • Predictions
  • Reactions
  • Structure
  • Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Ab initio no core shell model. / Barrett, Bruce R; Navrátil, Petr; Vary, James P.

In: Progress in Particle and Nuclear Physics, Vol. 69, No. 1, 03.2013, p. 131-181.

Research output: Contribution to journalArticle

Barrett, Bruce R ; Navrátil, Petr ; Vary, James P. / Ab initio no core shell model. In: Progress in Particle and Nuclear Physics. 2013 ; Vol. 69, No. 1. pp. 131-181.
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