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Extensions to the No-Core Shell Model : Importance-Truncation, Regulators and Reactions, Hardback Book

Extensions to the No-Core Shell Model : Importance-Truncation, Regulators and Reactions Hardback

Part of the Springer Theses series


Extensions to the No-Core Shell Model presents three extensions to the No-Core Shell Model (NCSM) that allow for calculations of heavier nuclei, specifically for the p-shell nuclei.

The Importance-Truncated NCSM (IT-NCSM) formulated on arguments of multi-configurational perturbation theory selects a small set of basis states from the initially large basis space in which the Hamiltonian is diagonalized.

Previous IT-NCSM calculations have proven reliable, however, there has been no thorough investigation of the inherent error in the truncated IT-NCSM calculations.

This thesis provides a detailed study of IT-NCSM calculations and compares them to full NCSM calculations to judge the accuracy of IT-NCSM in heavier nuclei.

When IT-NCSM calculations are performed, one often needs to extrapolate the ground-state energy from the finite basis (or model) spaces to the full NCSM model space.

In this thesis a careful investigation of the extrapolation procedures was performed.

On a related note, extrapolations in the NCSM are commonplace, but up to recently did not have the ultraviolet (UV) or infrared (IR) physics under control.

This work additionally presents a method that maps the NCSM parameters into an effective-field theory inspired framework, in which the UV and IR physics are treated appropriately.

The NCSM is well-suited to describe bound-state properties of nuclei, but is not well-adapted to describe loosely bound systems, such as the exotic nuclei near the neutron drip line.

With the inclusion of the Resonating Group Method (RGM), the NCSM / RGM can provide a first-principles description of exotic nuclei and the first extension of the NCSM.


  • Format: Hardback
  • Pages: 126 pages, 6 Tables, black and white; 45 Illustrations, color; 7 Illustrations, black and white; XII
  • Publisher: Springer International Publishing AG
  • Publication Date:
  • Category: Atomic & molecular physics
  • ISBN: 9783319013923

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Also by Michael Karl Gerhard Kruse