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

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

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About the Book

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.

Table of Contents:
Introduction to Low-Energy Nuclear Physics.- The No Core Shell Model.- Importance Truncated No Core Shell Model.- UV and IR Properties of the NCSM.- Extending the NCSM with the RGM.- Conclusion.


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Product Details
  • ISBN-13: 9783319375816
  • Publisher: Springer International Publishing AG
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Sub Title: Importance-Truncation, Regulators and Reactions
  • ISBN-10: 3319375814
  • Publisher Date: 23 Aug 2016
  • Height: 235 mm
  • No of Pages: 126
  • Returnable: Y
  • Width: 155 mm


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