Extensions to the No-Core Shell Model: Importance-Truncation, Regulators and Reactions by Michael Karl Gerhard KruseExtensions to the No-Core Shell Model: Importance-Truncation, Regulators and Reactions by Michael Karl Gerhard Kruse

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

byMichael Karl Gerhard Kruse

Hardcover | September 19, 2013

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Extensions to the No-Core Shell Modelpresents 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.

Current affiliation:Lawrence Livermore National LaboratoryLivermore, CA 94550USAResearch performed at:University of ArizonaDepartment of PhysicsTucson, AZ 85721USADr. Michael Kruse completed his Ph.D. thesis in April 2012 at the University of Arizona, USA, and is currently at Lawrence Livermore National Laboratory (LLNL), Livermore, CA...
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Title:Extensions to the No-Core Shell Model: Importance-Truncation, Regulators and ReactionsFormat:HardcoverDimensions:126 pagesPublished:September 19, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319013920

ISBN - 13:9783319013923

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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.