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Extensions to the No-Core Shell Model

Importance-Truncation, Regulators and Reactions

  • Michael Karl GerhardĀ Kruse

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Michael Karl Gerhard Kruse
    Pages 1-8
  3. Michael Karl Gerhard Kruse
    Pages 9-32
  4. Michael Karl Gerhard Kruse
    Pages 33-77
  5. Michael Karl Gerhard Kruse
    Pages 79-91
  6. Michael Karl Gerhard Kruse
    Pages 93-116
  7. Michael Karl Gerhard Kruse
    Pages 117-123
  8. Back Matter
    Pages 125-126

About this book

Introduction

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.

Keywords

Ab-initio Many-body Techniques Ab-initio Techniques Importance Truncation Method Importance Truncation NCSM No Core Shell Model Nuclear Structure Nuclei Calculations Resonating Group Method

Authors and affiliations

  • Michael Karl GerhardĀ Kruse
    • 1
  1. 1.Lawrence Livermore National LaboratoryLivermoreUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-01393-0
  • Copyright Information Springer International Publishing Switzerland 2013
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-01392-3
  • Online ISBN 978-3-319-01393-0
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site