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Extensions to the No-Core Shell Model [electronic resource] : Importance-Truncation, Regulators and Reactions / by Michael Karl Gerhard Kruse.

By: Kruse, Michael Karl Gerhard [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextTextSeries: Springer Theses, Recognizing Outstanding Ph.D. Research: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2013Description: XIII, 126 p. 52 illus., 45 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319013930.Subject(s): Physics | Quantum field theory | String theory | Nuclear physics | Heavy ions | Hadrons | Elementary particles (Physics) | Physics | Elementary Particles, Quantum Field Theory | Nuclear Physics, Heavy Ions, Hadrons | Quantum Field Theories, String Theory | Física y Astronomía | Física y AstronomíaAdditional physical formats: Printed edition:: No titleDDC classification: 539.72 Online resources: Texto completo
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.
In: Springer eBooksSummary: 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.
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Springer (Colección 2013) Springer (Colección 2013) BIBLIOTECA GENERAL
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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.

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.

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