Kruse, Michael Karl Gerhard.
Extensions to the No-Core Shell Model Importance-Truncation, Regulators and Reactions / [electronic resource] : by Michael Karl Gerhard Kruse. - XIII, 126 p. 52 illus., 45 illus. in color. online resource. - Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 . - Springer Theses, Recognizing Outstanding Ph.D. Research, .
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.
9783319013930
10.1007/978-3-319-01393-0 doi
Physics.
Nuclear physics.
Quantum theory.
Physics.
Elementary Particles, Quantum Field Theory.
Nuclear Physics, Heavy Ions, Hadrons.
Quantum Field Theories, String Theory.
QC793-793.5 QC174.45-174.52
539.72
Extensions to the No-Core Shell Model Importance-Truncation, Regulators and Reactions / [electronic resource] : by Michael Karl Gerhard Kruse. - XIII, 126 p. 52 illus., 45 illus. in color. online resource. - Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 . - Springer Theses, Recognizing Outstanding Ph.D. Research, .
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.
9783319013930
10.1007/978-3-319-01393-0 doi
Physics.
Nuclear physics.
Quantum theory.
Physics.
Elementary Particles, Quantum Field Theory.
Nuclear Physics, Heavy Ions, Hadrons.
Quantum Field Theories, String Theory.
QC793-793.5 QC174.45-174.52
539.72